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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Profit of Rs. 12,400 has to be divided between three partners A, B and C in the ratio 5 : 7 : 8. How much does B get (in Rs.)?1). 43402). 34403). 33404). 4430 |
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Answer» B’s share can be given as ⇒ 7 × 12400/(5 + 7 + 8) = 7 × 12400/20 ⇒ 4340 ∴ the B’s share is Rs. 4340 |
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| 52. |
1). Rs. 150002). Rs. 180003). Rs. 250004). Rs. 20000 |
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Answer» TIME PERIOD for which SUNIL invested money, t1 = 9 months Time period for which Gopal invested money, t2 = 12 months Amount invested by Sunil, I1 = Rs. 20,000 Amount invested by Gopal, I2 = Rs.30,000 Profit = P = Rs. 60,000 Share of Sunil = (P × I1 × t1)/(I1t1 + I2t2) = (60000 × 20000 × 9)/(20000×9 + 30000×12) = Rs. 20,000 ∴ Share of Sunil = Rs. 20,000 |
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| 53. |
Pankaj sells a trouser at a loss of 10%. If he buys it for 20% less price and sells it for Rs. 9 more, then he gains 15%. What is the cost price (in Rs) of the trouser? 1). 4502). 4003). 3504). 440 |
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Answer» Let the C.P of the TROUSER = 100 units According to the ques he SOLD it at 10 % loss, S.P of trouser = 90% of 100 = 90/100 × 100 = 90 New C.P of trouser = 20% less price of old C.P = 80% of old 100 = 80 units New S.P = 115% of new C.P. = 115/100 × 80 = 92 units ⇒ New S.P – Old S.P = Rs. 9 ⇒ 92 – 90 = 2 units = Rs. 9 ⇒ 1 UNIT = Rs. 4.5 ∴ 100 units = Rs. 4.5 × 100 = Rs. 450 |
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| 54. |
A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at market price allowing no discount.1). 27%2). 37%3). 23%4). 30% |
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Answer» For SIMPLICITY assuming the market price to be Rs 100. So on one article by selling at 90% i.e., at SP of Rs 90, shopkeeper gains 17%. LET’s assume the cost of article as C. So, $(gain\ PERCENT = \left( {\frac{{SP - CP}}{{CP}}} \right) \times 100)$ $(\Rightarrow 17 = \left( {\frac{{90-C}}{C}} \right) \times 100)$ C = Rs 76.92 Now if SP would have been Rs 100. $(\begin{array}{l}Gain\ percent = \frac{{SP - CP}}{{CP}} \times 100\\Gain\ percent = \left( {\frac{{100-76.92}}{{76.92}}} \right) \times 100 = 30\%\end{array})$ |
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| 55. |
An article was sold at 25% gain. Had it been sold for Rs 375 more, then the gain would have been 50%. What is the cost price (in Rs) of the article?1). 10002). 15003). 18004). 2000 |
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Answer» Let the CP of ARTICLE be c. SP = CP + Profit = CP + 25% = CP (1 + 25/100) = 5CP/4. New SP’ = SP + 375 = 5CP/4 + 375. New Gain% = 100 × (SP’ - CP)/CP = 100 × (5CP/4 + 375 - CP)/CP = 50 ⇒ 100 × (CP/4 + 375)/CP = 50 ⇒ (CP/4 + 375)/CP = 1/2 ⇒ 2(CP/4 + 375) = CP ⇒ CP/2 + 750 = CP ⇒ CP/2 = 750 ⇒ CP = Rs. 1500 |
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| 56. |
A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?1). 122). 143). 164). 20 |
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Answer» Let the cost price and profit PERCENTAGE be y From the PROBLEM’s statement ⇒ y × (1 + y/100) = 24 ⇒ y2 + 100y - 2400 = 0 ⇒ (y – 20) (y + 120) = 0 Since y can’t be negative so y = 20 is the required solution ∴ the profit percentage and cost price be 20 |
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| 57. |
A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Litres of liquid A contained by the can initially was1). 102). 203). 214). 25 |
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Answer» Since the ratio of volume of LIQUIDS A and B is 7 : 5. Let the volume of A in mixture initially be 7X lts and volume of B in mixture initially be 5x lts Total volume in can initially = 12x lts Since 9 lts were drawn off from total mixture and same was filled by liquid B. Thus, New volume of liquid A = $(\left( {7x - \frac{9}{{12x}} \times 7x} \RIGHT))$ New volume of liquid B = $(\left( {5x - \frac{9}{{12x}} \times 5x + 9} \right))$ Given the new ratio of liquid A and B is 7 : 9. Thus, $(\begin{array}{l} \Rightarrow \frac{{7x - \frac{9}{{12x}} \times 7x}}{{5x - \frac{9}{{12x}} \times 5x + 9}} = \frac{7}{9}\\ \Rightarrow \frac{{28x - 21}}{{20x - 15 + 36}} = \frac{7}{9} \end{array})$ ⇒ 252x – 189 = 140x + 147 ⇒ 112x = 336 ⇒ x = 3 Hence the initial volume of liquid A = 7 × 3 = 21 liters |
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| 58. |
Sonal bought a mobile phone and sold it for Rs. 360 and earns a profit of 20%. Find her cost price?1). Rs. 288 2). Rs. 3063). Rs. 3004). Rs. 298 |
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Answer» Given, ⇒ Profit = 20% ⇒ Profit = [(SP - CP)/CP] × 100 ⇒ 20 = [(360 - A)/A] × 100 ⇒ (20/100) = (360 - A)/A ⇒ A/5 = 360 - A ⇒ A = 300 |
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| 59. |
Ramesh purchased a memory card at a price of Rs. 625 including the sales tax. The rate of sales tax is 25%. If the seller has made a gain of 50%, then the cost price of the memory card is∶1). Rs. 3332). Rs. 3103). Rs. 3504). Rs. 360 |
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Answer» Ramesh purchased a memory CARD at a PRICE of Rs. 625, sales tax is 25% and SELLER has MADE a gain of 50%, ∴ Cost price of the memory card = (625 × 100 × 100)/(125 × 150) ≈ Rs. 333 |
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| 60. |
The ratio of the cost price and selling price of a bulb is 15 : 18. What is the profit percentage?1). 16.662). 14.283). 204). 22 |
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Answer» RATIO of Cost price : Selling price = 15 : 18 ∴ PROFIT % = (18 - 15)/15 × 100 = 20% |
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| 61. |
The price of rice is reduced by 25%. Now a person can buy 750 g more rice for Rs. 54. The original price of the rice per kilogram was1). Rs. 27.402). Rs. 243). Rs. 214). Rs. 18.75 |
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Answer» LET the ORIGINAL price of the rice per kilograms = Rs. x. The price of rice is REDUCED by 25%. After reduction, the price of rice per kilograms = Rs. x × (75/100) = Rs. 3x/4 Now we can write, 54/(3x/4) = (54/x) + 0.750 ⇒ (216/3x) – (54/x) = 0.750 ⇒ 216 – 162 = 2.25x ⇒ x = 54/2.25 ⇒ x = 24 ∴ The original price of the rice per kilograms = Rs. 24 |
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| 62. |
Four partners A, B, C & D invested Rs. 25000, Rs. 35000, Rs. 40000 & Rs. 15000 respectively. If at the end of year they got profit of Rs. 46000. Then find the percentage profit received by B.1). 25.43%2). 30.43%3). 40%4). 45.45% |
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Answer» From given data- Four partners A, B, C & D invested Rs. 25000, Rs. 35000, Rs. 40000 & Rs. 15000 respectively. ∴ Their ratio of invested amount is 25000 ? 35000 ? 40000 ? 15000 ∴ Their ratio of invested amount = 5 ? 7 ? 8 ? 3 ∴ Partners will receive Rs. 46000 profit in the ratio of 5 ? 7 ? 8 ? 3 Let the common multiplication constant be a. ∴ A, B, C & D will receive profit as 5a, 7A, 8a & 3A respectively. For MR. B- He will receive 7a parts of profit from 23a parts. Profit received by B = (7/23) × 46000 = 14000 Profit Percentage = (14000/46000) × 100 = 30.43% ∴ Mr. B received 30.43% profit. |
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| 63. |
1). 5 : 92). 5 : 83). 7 : 44). 7 : 5 |
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Answer» M.P. × 9/14 = S.P. And, C.P. × (100 - 10)/100 = S.P. M.P. × 9/14 = C.P. × 90/100 ⇒ (M.P.)/(C.P.) = (90 × 14) / (9 × 100) = 7/5 ∴ M.P. : C.P. = 7 : 5 |
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| 64. |
1). 52002). 70003). 48004). 6800 |
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Answer» Discount % = (MP - SP)/MP × 100 SP = MP - (Discount %/100) × MP Marked price = X + (60/100) × X = 1.6X Discount = 35% SP = 1.6X - (35/100) × 1.6X = 1.04X 1.04X = 7280 ⇒ X = 7000 The cost price be Rs. 7000 |
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| 65. |
1 packet of biscuits costs Rs. 16, but a pack of 4 of the same packet of biscuits costs Rs. 56. What is the effective discount (in %) on the pack?1). 82). 103). 7.54). 12.5 |
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Answer» Cost of 1 PACKET of biscuit = 56/4 = 14 ⇒ EFFECTIVE DISCOUNT can be GIVEN as = (16 – 14) × 100/16 = 2 × 100/16 ∴ Effective discount = 12.5% |
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| 66. |
1). a loss of 10%2). a gain of 10%3). a loss of 20%4). a gain of 20% |
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Answer» Cost of 1 article = 5400/90 = Rs. 60 Total cost PRICE of 70 articles = 70 × 60 = Rs. 4200 PROFIT earned = 5040 – 4200 = Rs. 840 % profit = (840/4200) × 100 = 20% HENCE, there is a gain of 20%. |
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| 67. |
The marked price of a shirt and a trouser are in the ratio 2 : 3. The shopkeeper gives 20% discount of the shirt. If the total discount is 30%. Then, the discount offered on the trouser is –1). \(32\frac{1}{2}\%\)2). \(33\frac{1}{3}\%\)3). \(36\frac{2}{3}\%\)4). \(28\frac{1}{3}\%\) |
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Answer» Given, marked price of a SHIRT and a trouser are in the ratio 2 : 3. Let the marked prices be 2A and 3a respectively. Where a is any constant Now, shopkeeper GIVES 20% discount on shirt. ∴ Selling price of shirt = 2a – 20% of 2a = 1.6a Given, TOTAL discount is 30%. Total selling price = 5a – 30% of 5a = 3.5a Selling price of trousers = 3.5a – 1.6a = 1.9a ∴ 3a – discount% of 3a = 1.9a ⇒ discount% × 3 = 1.1 ⇒ Discount% $(= \frac{{110}}{3} = \;36\frac{2}{3}\%)$ |
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| 68. |
Shopkeeper Claims that he is selling flour at Rs. 30 per kg which cost him Rs. 35. But he is giving 750 gm instead of 1 kg. Percentage of profit or loss is....1). 14.286 loss2). 7.137 loss3). 7.137 profit4). 5.673 profit |
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Answer» ⇒ Cost price of 1 kg of flour = RS. 35 For 1 kg, he weighs only 750 grams ⇒ Cost price of 750 gram of flour = Rs. (35/1000) × 750 = Rs. 26.25 ⇒ SELLING price of 750gm of flour = Rs. 30 ∴ Profit percentage = {(30 – 26.25) /26.25} × 100 = 14.286% |
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| 69. |
Two businessmen A and B invest in a business in the ratio 5 ∶ 8. They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A's share of the profit was Rs. 87,500 then how much profit (in Rs.) did the business make?1). 2270002). 2500003). 3750004). 325000 |
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Answer» Since Ratio of investment = 5 ? 8, ⇒ Ratio of profit DISTRIBUTION will ALSO be = 5 : 8 Let us TAKE the TOTAL profit = P Since they decided to REINVEST the 30% profit so remaining profit that is been distributed = 0.7P ⇒ A's share in the profit = 5/13 × 0.7P ⇒ 7P/26 = 87500 ∴ P = Rs. 325000 |
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| 70. |
Sita was a fruit seller who used to buy fruits from a whole seller and sell it in three days. The whole seller sold 15kg of fruits to Sita at 20% profit. Sita sold 5kg of fruits each day at 25% profit for two days. However on the third day, the remaining fruits had somewhat rotten. She sold it at 15% loss. The whole seller had bought the fruits from contractor for Rs. 4500. How much profit or loss did Sita make after selling all the fruits?1). Rs. 525 profit2). Rs. 630 profit3). Rs. 630 loss4). Rs. 525 loss |
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Answer» $(CP\; = \;\frac{{SP}}{{1\; + \;profit\% }})$ Where, CP = cost price, SP = Selling Price For whole seller: CP = Rs. 4500 Profit = 20% Using the above formula, $(4500\; = \;\frac{{SP}}{{1\; + \;20\% }})$ ⇒ 4500 (1 + 0.20) = SP ⇒ SP = 4500 × 1.20 ∴ SP = Rs. 5400 For, Sita: CP = Rs. 5400 for 15 KG. = 5400/15 = Rs. 360 per kg In FIRST two days, she sold 5 kg each day i.e., she sold 10 kg. For 10 kg, CP = Rs. 3600, profit = 25% SP = CP (1 + profit %) = 3600(1 + 0.25) = Rs. 4500 Third day, she sold 5 kg at 15 % loss. CP = Rs. (360 × 5) = Rs. 1800, loss = 15% SP = CP (1 − loss %) = 1800(1 − 0.15) = Rs. 1530 Total SP = Rs. (4500 + 1530) = Rs. 6030 Total CP = Rs. 5400 ∴ Total profit = Rs. 630 |
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| 71. |
1). 22002). 24003). 25004). 2300 |
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Answer» Let the COST price of saree be RS. Y According to the problem statement ⇒ 1900 = y(1 - 5/100) ⇒ 0.95y = 1900 ⇒ y = 2000 Amount at which he will get 15% PROFIT can be given as ⇒ 2000 × (1 + 15/100) = 2000 × 1.15 ⇒ amount at which saree to be sold = 2300 ∴ The amount should be Rs. 2300 at which saree to be sold to get profit of 15% |
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| 72. |
A, B and C start a business each investing Rs. 20000. After 5 months A withdrew Rs. 6000 & B withdrew Rs. 5000 and C invested Rs. 5000 more. At the end of the year a total profit of Rs. 33900 was recorded. What is the share of B?1). Rs. 99002). Rs. 102503). Rs. 135004). Rs. 13750 |
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Answer» Ratio of profits will be the same as the ratio of the investments made. Given, A, B and C start a business each investing Rs. 20000. After 5 MONTHS A withdrew Rs. 6000 & B withdrew Rs. 5000 and C invested Rs. 5000 more. Total INVESTMENT made by A in a year = 20000 × 5 + 14000 × 7 = 198000 Total investment made by B in a year = 20000 × 5 + 15000 × 7 = 205000 Total investment made by C in a year = 20000 × 5 + 25000 × 7 = 275000 Ratio in which the investment were made = 198 : 205 : 275 Thus, ratio in which profits will be divided = 198 : 205 : 275 Total profit earned at the end of year = Rs. 33900 Share of B $(= \frac{{205}}{{198 + 205 + 275}} \times 33900)$ ⇒ Share of B $(= \frac{{205}}{{678}} \times 33900 = Rs.10250)$ |
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| 73. |
By selling article at Rs. 100, a shopkeeper loses 25%, Find the gain and loss if it should be sold for Rs. 2001). profit of 25%2). loss of 25%3). loss of 50%4). profit of 50% |
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Answer» Let the CP of article be Rs X Loss% = 25% SP of article = Rs 100 Therefore, Loss = x – 100 25 = ((x – 100)/x × 100% ⇒ x – 100 = x/4 ⇒ x = 400/3 Now, CP of article = Rs 400/3 Now, the selling PRICE is Rs. 200 therefore, profit is obtained and let profit% be y $(y\% \; = \;\frac{{\left( {200\;-\frac{{400}}{3}} \right)}}{{\frac{{400}}{3}}} \TIMES 100\%= 50)$ |
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| 74. |
R and S started a business by investing Rs. 165000 and Rs. 195000 respectively for the same period. If R’s share in the profit earned by them is Rs. 11000, then what is the total profit (in Rs.) earned by both together?1). Rs. 220002). Rs. 400003). Rs. 260004). Rs. 24000 |
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Answer» GIVEN that R : S = 165000 × 12 : 195000 × 12 = 165 : 195 = 33 : 39 Let the total profit is x Share of R = [33/ (33 + 39)] × x ⇒ x = 11000 × (72/33) = 24000 ⇒ x = Rs.24000 ∴ Total profit of both R and S is Rs. 24000 |
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| 75. |
The C. P. of 10 articles is equal to the S. P. of 15 articles. What is the profit or loss percentage?1). 25.5%2). 35%3). 10%4). 33.3% |
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Answer» <P>LET the C. P. of each article be Rs. 1 C. P. of 15 articles = Rs. 15 Their S. P. = Rs. 10 Loss PERCENT $(= \frac{{15 - 10}}{{15}})$ × 100 $(= \frac{{100}}{3})$ = 33. 3% |
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| 76. |
The cost price of an article is Rs. 150. To gain 20% after allowing a 40% discount, the marked price of the article should be1). Rs. 1802). Rs. 2103). Rs. 2404). Rs. 300 |
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Answer» Cost price = Rs. 150 Gain = 20% Selling price = 150 + (20/100) × 150 = Rs. 180 Discount on Marked Price = 40% x – (40/100) × x = 180 Marked price = Rs. 300 |
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| 77. |
When a discount of 20% is given on a movie ticket, the profit is 34%. If the discount is 15%, then the profit is1). 49 percent2). 42.375 percent3). 55.625 percent4). 35.75 percent |
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Answer» Let the list price be RS. x Selling price = x – (20/100) × x = Rs. 4x/5 Profit = 34% Profit% = (SP – CP)/CP × 100, where SP = selling price and CP = cost price 34/100 = (4x/5 – CP)/CP (134/100) CP = 4x/5 CP = (4x/5) × (100/134) = 80x/134 New selling price = x – (15/100) × x = 85x/100 CP = 80x/134 Profit = 85x/100 – 80x/134 = 3390x/(100 × 134) Profit % = [(3390x/(100 × 134) )/(80x/134)] × 100 = 42.375% |
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| 78. |
Shalini sells rice at the cost price of Rs 50/kg, but she gives 750 gm instead of 1000 gm. Find his actual profit percent.1). \(37\frac{1}{3}\% \)2). 35%3). \(33\frac{1}{3}\% \)4). 40% |
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Answer» The profit due to WRONG weight P2 = Error/(TRUE weight - Error) × 100 = 250/(1000 - 250) × 100 = 250/(750) × 100 = 33.33% |
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| 79. |
If two t-shirt is offered free on purchase of one t-shirts priced Rs. 800 each, then what is the effective discount on each t-shirt?1). 25 percent2). 33.33 percent3). 66.67 percent4). 15 percent |
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Answer» ⇒ Real price of 3 t-shirts = Rs. 2400 ⇒ Effective DISCOUNT = Rs. (2400 – 800) = Rs. 1600 ∴ Effective discount% on each t-shirts = (200/3) % = 66.67% |
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| 80. |
1). 92002). 96003). 84004). 8800 |
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Answer» CAPITAL RATIO of X and Y = 171000 : 243000 = 19 : 27 PROFIT earned by X = 19 units = 3800 ⇒ 1 unit = 200 ∴ Total profit = 19 + 27 = 46 units = 46 × 200 = 9200 |
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| 81. |
A shopkeeper gave 10% discount on a furniture set and further he added 20% discount to buyer. Find the percentage discount given by shopkeeper.1). 0%2). 21%3). 22.5%4). 25% |
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Answer» Let the initial marked price be Rs. 100 First discount = 10% Successive discount = 20% Final selling price = 90 - (20/100) × 90 = Rs. 72 Total discount percentage = (100 - 72)/100 × 100 = 28% |
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| 82. |
An object is sold at a price of Rs. 465 after allowing a discount of 38%. If the same object was sold at a discount for of 20%, what would be the new S.P.?1). Rs. 6002). Rs. 6503). Rs. 7004). Rs. 750 |
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Answer» Selling price with discount 38% is RS. 465. Let x be the marked price. ∴ $(\FRAC{{62}}{{100}} \times x = 465)$ New selling price $(= \frac{{80}}{{100}} \times x = \frac{{80}}{{100}} \times \frac{{100}}{{62}} \times 465 = Rs.\: 600)$ |
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| 83. |
1). Rs. 02). Rs. 53). Rs. 124). Rs. 14 |
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Answer» For TITAN watch Marked price = Rs. 2,000 New price after first discount = (100 – 20) / 100 × 2000 = Rs. 1,600 New price after second discount = (100 – 20) / 100 × 1600 = Rs. 1,280 New price after third discount = (100 – 10) / 100 × 1280 = Rs. 1,152 For Ajanta watch Marked price = Rs. 2,000 New price after first discount = (100 – 10) / 100 × 2000 = Rs. 1,800 New price after second discount = (100 – 20) / 100 × 1800 = Rs. 1,440 New price after third discount = (100 – 20) / 100 × 1440 = Rs. 1,152 ∴ DIFFERENCE in prices of both the watches = 1152 – 1152 = Rs 0 |
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| 84. |
What is the net discount (in %) for successive discounts of 10% and 20%?1). 232). 703). 754). 28 |
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Answer» Let the marked price be X After giving FIRST discount, the cost will be = x - 0.1x = 0.9x After giving SECOND discount, the cost will be = 0.9x - (0.9x × 20/100) = 0.72x Discount = x - 0.72x = 0.28x Hence, Discount % = 28% |
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| 85. |
X starts a business with Rs. 80000. After 6 months Y joins X with Rs. 100000. After 2 years, what will be the ratio of profit of X and Y?1). 16 : 152). 4 : 53). 8 : 94). 14 : 15 |
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Answer» X INVESTMENT = RS. 80000 And, Y investment = Rs. 100000 ∴ RATIO of investment = Ratio of PROFIT of X and Y = 80,000 × 24 : 1,00,000 × 18 = 16 : 15 |
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| 86. |
Two successive discounts of 20% and 40% are equivalent to a single discount of1). 58%2). 67%3). 55%4). 52% |
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Answer» LET the Marked Price be 100. After FIRST discount, selling price = 100 – 20 = 80 After second discount, selling price = 80 – 40% of 80 = 80 – 32 = 48 ∴ Total discount = $(100 - \frac{{48}}{{100}} \times 100)$ = 52% |
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| 87. |
The difference between cost price and selling price is Rs. 576. If the profit percentage is 16%, then what is the cost price (in Rs.)?1). 30242). 41763). 36004). 3800 |
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Answer» PROFIT % = {(SELLING PRICE - cost price)/cost price} × 100 ⇒ 16 = (576/cost price) × 100 ∴ Cost price = 57600/16 = 3600 |
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| 88. |
Rs. 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?1). 298502). 301203). 313504). 37250 |
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Answer» Let A, B and C’s share be a, b and c respectively From the problems statement ⇒ a = 2 × (b + c)/9 …(i) and ⇒ b = 3 × (a + c)/7….(II) given that total amount to be distributed is Rs. 60500 ⇒ a + b + c = 60500 …(iii) Put (i) in (ii) ⇒ b = 3 × ((2 × (b + c)/9) + c)/7 ⇒ b = (2b + 11C)/21 ⇒ 19b/11 = c …(iv) put (i) and (iv) in (iii) ⇒ 2 × (b + 19b/11)/9 + b + 19b/11 = 60500 ⇒ b = 60500 × 99/330 ⇒ b = 18150 Put this in (iv) ⇒ c = 19 × 18150/11 ⇒ c = 31350 ∴ C’s share is Rs. 31350 |
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| 89. |
A, B and C entered into a partnership and their share are in the ratio of ½ : 1/3 : ¼. After 2 months, A withdraw half of his capital and after another 10 months a profit of Rs. 378 is divided among them. What is B’s share?1). 1952). 2403). 1054). 144 |
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Answer» RATIO of initial investment of A, B and C = ½ : 1/3 : ¼ = 6 : 4 : 3 Let A’s initial investment is = 6x Let B’s initial investment is = 4x Let C’s initial investment is = 3x ∴ A : B : C = (6x × 2 + 3x × 10) : (4x × 12) : (3x × 12) ⇒ (42x) : (48x) : (36x) ⇒ 42 : 48 : 36 ⇒ 7 : 8 : 6 ∴ B’s SHARE in the profit = 378 × (8/21) ⇒ Rs. 144 |
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| 90. |
For every set of 24 toffees a shopkeeper gives 6 toffees extra, free of cost. In order to give a discount of 40%, the number of extra toffees (to the nearest integer) he should give in a sale of 44 toffees is∶1). 252). 373). 294). 31 |
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Answer» The shopkeeper gives 6 toffees free for every set of 24 toffees ∴ DISCOUNT = 6/30 × 100 = 20% If shopkeeper gives 40% discount, then the number of free toffees = 30 × 40/100 = 12 toffees On selling 18 toffees = 12 free toffees ∴ On selling 44 toffees = 12/18 × 44 = 29.33 toffees free So, the nearest integer is 29. |
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| 91. |
Joseph is a dealer of computer parts. He bought a combined total of 25 monitors and printers from China town market. He marked up the monitors by 20% on the cost price while each printer was marked up by Rs. 2000. He was able to sell 75% of monitors and 2 printers and make a profit of Rs. 49000. The remaining monitors and 3 printers could not be sold by him. If he gets no return on unsold items and it is known that a printer costs 50% of monitor, find his overall profit or loss.1). Rs. 50000 profit2). Rs. 48000 loss3). Rs. 48000 profit4). Rs. 48500 loss |
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Answer» There were 2 sold and 3 UNSOLD PRINTERS ⇒ he bought 5 printers and 20 monitors He sold 2 printers at a PROFIT of 2 × 2000 = Rs. 4000 ∴ Profit made on 75% of monitors = 49000 – 4000 = Rs. 45,000 Profit on each monitor = $(\frac{{45000}}{{20}} \times \frac{{100}}{{75}} = {\rm{Rs}}.{\rm{\;}}3000)$ Cost price of 1 monitor = 3000 × $(\frac{{100}}{{20}})$ = Rs. 15000 ∴ Cost price of 20 monitors = 20 × 15000 = Rs. 3,00,000 Cost price of 1 printer = 50% of 15000 = Rs. 7500 ∴ Cost price of 5 Printers = 5 × 7500 = Rs. 37500 Total cost = Rs. 3,00,000 + Rs. 37500 = Rs. 337500 Total revenue = 18000 × 15 + 9500 × 2 = Rs. 2,89,000 ∴ He GOT loss = 337500 – 289000 = Rs. 48500 |
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| 92. |
1). 20% 2). 25%3). 33.33%4). 40% |
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Answer» LET Gokul increase the investment by RS. x Gokul’s total investment = Rs. (1600 + x) Ragul’s investment = Rs. 2000 For investment ratio, ⇒ 2000/(1600 + x) = 1/1 ⇒ 2000 = 1600 + x ⇒ x = 400 |
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| 93. |
The marked price of an article is 50% more than its cost price. If the article is sold for Rs 1300 after offering a discount of Rs 200, then what will be the profit percentage?1). 30%2). 50%3). 20%4). 25% |
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Answer» SELLING Price of the ARTICLE = 1300 MARKED Price of the article = 1300 + 200 = 1500 Let Cost Price of the article = 100% Marked Price of the article = 100% + 50% = 150% 150% = 1500 Cost Price = 100% = (1500/150%) × 100% = 1000 Profit % = [(1300 - 1000)/1000] × 100 = 30% |
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| 94. |
A shopkeeper marks up his wares by 60% and offers 25% discount. What will be the selling price (in Rs) if the cost price is Rs. 1600?1). 19202). 20003). 21204). 2200 |
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Answer» Cost price of the WARES = Rs. 1600 Marked price = 1600 × 160/100 = Rs. 2560 ∴ SELLING price = 2560 × 75/100 = Rs. 1920 |
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| 95. |
The selling price of an article is Rs. 816. The discount on it is 15%. What would be the selling price of the article (in Rs.) if the discount on it is 25%?1). 7502). 7203). 8004). 700 |
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Answer» From the PROBLEM statement ⇒ a – 0.15a = 816 ⇒ a = 816/.85 = 960 SP after 25% discount = 0.75 × 960 = 720 ∴ SP after 25% discount will be Rs. 720 |
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| 96. |
A dishonest shopkeeper, at the time of selling and purchasing, weighs 20% less and 24% more per kg respectively. Find the percentage profit earned by treachery. (Assuming he sells at cost price)?1). 42%2). 40%3). 55%4). 33.33% |
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Answer» Let the price of the GOODS is Rs. 1000 per 1000 GM Given that, The SHOPKEEPER weighs 24% more while purchasing the goods ⇒ He buys 1240 gm of goods instead of 1000 gm ⇒ He pays Rs. 1000 instead of Rs. 1240 The shopkeeper also uses 20% less weight while selling the goods ⇒ He uses 800 gm instead of 1000 gm ⇒ CP of the goods = Rs. 800 If the shopkeeper sells the goods at the CP ⇒ Profit = (1240 – 800) = Rs. 440 ⇒ Profit % = (440/800) ? 100 = 55% ∴ Profit percentage earned by the treachery is 55%. |
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| 97. |
The list price of a digital electronic watch is Rs. 2000. A customer gets two successive discounts on the list price, the 1st being of 30%. Calculate the 2nd discount, if the customer pays Rs. 1200 for it.1). 14.85%2). 15.3%3). 14.28%4). 16.5% |
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| 98. |
If cost price of 40 books are equal to selling price of 32 books. Then find the loss or profit percentage? 1). 25% loss2). 25% profit3). 20% loss4). 20% profit |
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Answer» ACCORDING to question, 40 CP = 32 SP ⇒ SP/CP = 40/32 ⇒ SP/CP = 5/4 Now, as the ratio of SELLING price and cost price is greater than 1 so, we have a profit in this deal ∴ Profit % = {(SP – CP)/CP} × 100 = {(SP/CP) – 1} × 100 = {(5/4) – 1} × 100 = (1/4) × 100 = 25% |
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| 99. |
A wholesaler sells a jacket to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays Rs. 4158, what had it cost (in Rs) to the wholesaler?1). 35002). 34003). 33004). 3600 |
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| 100. |
Ayaan invested Rs. 40,000 and Aagam invested Rs. 30,000 for 2 years in a common business. After 2 years, they earned Rs. 35,000 as a profit, find the half of the share of Aagam in profit?1). Rs. 85002). Rs. 70003). Rs. 75004). Rs. 5500 |
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Answer» GIVEN that, Investment Ayaan : Aagam = 40000 : 30000 = 4 : 3 SHARE in the profit after two years will be in the RATIO of their investment ⇒ Share of Ayaan = (4/7) × 35000 = Rs. 20,000 ⇒ Share of Aagam = 35000 - 20000 = Rs. 15,000 ∴ So, half of the share of Aagam in profit is Rs. 7500 |
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