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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.
| 1. |
1). 152). 103). 54). 20 |
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Answer» Let the Cost price of apple be RS. a According to PROBLEM statement ⇒ a(1 - 15/100) = 170 ⇒ a = 170/0.85 = 200 Profit can be given as 230 – 200 = Rs. 30 Profit PERCENTAGE = profit × 100/200 = 30/2 = 15% ∴ The profit percentage is 15% |
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| 2. |
A furniture shop sold a set of cupboard for successive discount of 10% & 15%. In addition selected lucky customers got additional discount of 5%. Find the resultant discount for lucky customer.1). 22.525%2). 25.625%3). 27.325%4). 32.825% |
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Answer» Let the initial marked price be Rs. 100 First discount = 10% Successive discount = 15% New selling price = 90 - (15/100) × 90 = Rs. 76.5 Additional discount = 5% Final selling price = 76.5 - (5/100) × 76.5 = 72.675 Total discount percentage = (100 - 72.675)/100 × 100 = 27.325% |
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| 3. |
A man sold 200 chairs and had a gain equal to selling price of 40 chairs. What is his profit percentage? 1). 202). 253). 104). 15 |
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Answer» Let, cost PRICE of each chair = Rs. X Selling price of each chair = Rs. y According to problem, ⇒ 200y - 200X = 40y ⇒ 160y = 200x ⇒ y = 5x/4 ∴ Profit percentage, $( \Rightarrow \FRAC{{\frac{{5x}}{4} - x}}{x} \times 100\% )$ ⇒ ¼ × 100% ⇒ 25% |
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| 4. |
Rs. 3,000 is divided among A, B and C, so that A receives 1/3 as much as B and C together receive and B receives 2/3 as much as A and C together receive. Then share of C is1). Rs. 5252). Rs. 1,6253). Rs. 1,0504). Rs. 600 |
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Answer» Given, 3,000 is divided among A, B and C, so that A receives 1/3 as much as B and C together receive and B receives 2/3 as much as A and C together receive $(\Rightarrow {\rm{A}} = \FRAC{1}{3}{\rm{\;}}\left( {{\rm{\;B}} + {\rm{C}}} \right))$ ⇒ 3A = B + C……….(1) $(\Rightarrow {\rm{B}} = \frac{2}{3}{\rm{\;}}\left( {{\rm{\;A}} + {\rm{C}}} \right))$ ⇒ 3B = 2A + 2C…………(2) ⇒ PUTTING the value of C from (1) into (2), we get, ⇒ 3B = 2 A + 2 (3A – B) ⇒ 8A = 5B …………….(3) ⇒ Similarly, we can solve and will get relation between B and C. ⇒ 7B = 8C …………….. (4) ⇒ Multiplying (3) with 7 and (4) with 5, we get, ⇒ 56A = 35B = 40C $(\Rightarrow \frac{{56{\rm{A}}}}{{280}} = \frac{{35{\rm{B}}}}{{280}} = \frac{{40{\rm{C}}}}{{280}})$ $(\Rightarrow \frac{{\rm{A}}}{5} = \frac{{\rm{B}}}{8} = \frac{{\rm{C}}}{7})$ ⇒ A : B : C = 5 : 8: 7 $(\Rightarrow {\rm{Share\;of\;C}} = \frac{7}{{20}} \times 3000 = 1050)$ |
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| 5. |
A person bought two chairs for Rs. 2,400 and sold the first at a profit of 25% and second at a loss of 10%. If he sold the first at 20% loss and second at 30% profit, he would get Rs. 300 more. The difference of the cost price of the chairs was1). Rs. 8482). Rs. 8603). Rs. 8424). Rs. 852 |
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Answer» LET the Cost Price (C.P) of chair_1 be ‘x’ and that of chair_2 be (2400 - x) Selling Price (S.P) in the FIRST case = 1.25x + 0.9 × (2,400 - x) S.P in the second case = 0.8x + 1.3 × (2,400 - x) ACCORDING to the given condition, 0.8x + 1.3(2,400 - x) = 300 + 1.25x + 0.9 (2,400 - x) ∴ 0.4 × (2,400 - x) = 0.45x + 300 ∴ 960 – 300 = 0.45x + 0.4x ∴ 660 = 0.85x ∴ x ≈ 776 ∴ Difference in C.P of chair_1 and chair_2 = (2,400 – x) - x = 2,400 – 2X = 2,400 – 1552 = 848 ∴ The difference in C.P is Rs. 848 |
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| 6. |
The marked price of a door is Rs. 1400. It is sold at a discount of 28%. If the cost price of the door is Rs. 700, then what is the profit (in Rs.)?1). 3402). 4283). 3084). 368 |
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Answer» We know that Selling Price = (1 - DISCOUNT %) × Marked Price Given Discount = 28% ⇒ Selling Price = (1 - 28%) × 1400 ⇒ Selling Price = (1 - 0.28) × 1400 ⇒ Selling Price = 0.72 × 1400 ⇒ Selling Price = 1008 Profit = (SP - CP) = (1008 - 700) = Rs. 308 ∴ Profit = Rs. 308 |
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| 7. |
Atul bought an article, paying 5% less than the original price and sold it with 20% profit on the price he had paid. What percent of profit did he earn on the original price?1). 10%2). 13%3). 14%4). 17% |
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Answer» Atul bought an article, paying 5% less than the ORIGINAL PRICE. Let the original price of the article be x Then, Cost price for Atul = x – (5% of x) = 0.95x Now, Atul sold it with a 20% PROFIT on the price he had paid. Selling price = 0.95x + (20% of 0.95x) = 1.14x Profit earned on original price = $(\frac{{1.14x - x}}{x} \TIMES 100 = \;14)$ |
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| 8. |
1). 8502). 7253). 7504). 1200 |
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Answer» According to PROBLEM, ⇒ x - x × 40/100 = 600 + 600 × 20/100 ⇒ 0.6x = 720 ⇒ x = 1200 ∴ Marked price of the WATCH = Rs. 1200 |
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| 9. |
Jugnu, a dishonest milk seller has certain quantity of milk to sell. Find the approximate ratio he should mix water to gain 5% by selling the mixture at the cost price?1). 1 : 102). 1 : 53). 1 : 254). 1 : 20 |
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Answer» Let Cost PRICE of 100 g milk was 100 UNITS, Let’s ASSUME that X grams of milk are mixed with (100 – x) grams of WATER. x + 5% of x = 100 ⇒ x + 0.05x = 100 ⇒ 1.05x = 100 ⇒ x = 100/1.05 = 2000/21 |
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| 10. |
A piece of land came to a person through three middlemen each gaining 20%. If the person purchased the land for Rs 345600, the original cost of the land is:1). 1000002). 1500003). 1758004). 200000 |
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Answer» Let the price of land = K. Then price of land after FIRST MIDDLEMAN = k + 20% of k = k + 0.2k = 1.2 k Price of land after second middle man = 1.2k + 20% of 1.2k = 1.2k + 0.24k = 1.44 k Price of land after third middle man = 1.44k + 20% of 1.44 k = 1.44k + 0.288k = 1.728k Hence, we have 1.728k = RS 345600 ⇒ k = 345600/1.728 ⇒ k = Rs 200000 |
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| 11. |
If the ratio of marked price and selling price is 11 : 10, then what is the discount percentage?1). 11.112). 17.283). 12.54). 9.09 |
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Answer» MARKED PRICE/selling price = 11/10 ⇒ Selling price/Marked price = 10/11 ∴ Discount % = {(MP - SP)/MP} × 100 = {1 - (SP/MP)} × 100 = {1 - (10/11)} × 100 = 9.09% |
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| 12. |
A sells a refrigerator priced Rs. 42,000. He gives a discount of 12% on the first Rs. 25,000 and 5% on the next Rs. 15,000. How much discount can he afford on the remaining Rs. 2,000 if he is to get as much as when 10% discount is allowed on the total1). 12.5%2). 6%3). 22.5%4). 25% |
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Answer» Discount offered on first Rs.25000 = 12% of 25000 = Rs. 3000 Discount offered on next Rs. 15000 = 5% of 15000 = Rs. 750 Total Discount offered = 10% of 42000 = Rs. 4200 ⇒ Discount offered on LAST Rs. 2000 = 4200 – 3000 – 750 = Rs. 450 Discount Percentage = (450/2000) × 100 = 22.5% ∴ He can AFFORD to give 22.5% discount on the remaining Rs. 2,000 if he is to get as much as when 10% discount is allowed on the total. |
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| 13. |
Oil, equal to 20% of the weight of groundnut, is extracted in a mill. The matter left after extraction is sold as cattle feed at the rate of Rs. 12.5/kg. The groundnuts are bought at Rs. 20/kg. The processing cost is Rs. 5/kg. At what price (Rs. per kg) should the oil be sold to earn 20% profit on total costs (Total cost = Cost of groundnuts and Processing costs)?1). 2502). 1503). 2004). 100 |
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Answer» Let the Total weight of the groundnut = 100 kgs Total cost = 100 × (20 + 5) = Rs. 2500 AMOUNT that should be received after 20% PROFIT = 2500 × 1.2 = Rs. 3000 Since 80% of the weight of groundnut is left and SOLD as cattle feed for Rs. 12.5/kg; Amount received after SELLING the waste = 100 × 0.8 × 12.5 = Rs. 1000 ∴ Remaining amount to be received by selling oil = 3000 – 1000 = Rs. 2000 Since weight of oil = 100 × 0.2 = 20 litres ∴ Selling cost of oil = 2000/20 = Rs. 100 per liter |
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| 14. |
Dinesh purchases 10 dozens of apples at the rate of Rs. 180 per dozen. He sold each one of them at the rate of Rs. 19.5. What is the profit (in percentage) of Dinesh?1). 302). 153). 184). 25 |
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Answer» TOTAL COST PRICE = 10 × 180 = Rs. 1800 Total SELLING price = 10 × 12 × 19.5 = Rs. 2340 ∴ Profit % = {(S.P - C.P)/C.P} × 100 = {(2340 - 1800)/1800) × 100 = 30% |
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| 15. |
Rahul sells two helmets at the rate of Rs. 1232 each. He gains 12% on one and loses 12% on the other. What will be the total loss (in Rs) in the whole transaction?1). 542). 363). 184). 72 |
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Answer» SP of two helmets = 1232 × 2 = 2464 CP of FIRST helmet = 1232 × 100/112 = 1100 CP of second helmet = 1232 × 100/88 = 1400 Total CP of two helmets = 1100 + 1400 = 2500 As we know, loss = CP - SP ∴ Loss = 2500 - 2464 = 36 |
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| 16. |
1). 62). 53). 44). 3 |
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Answer» Let the required number be x ⇒ 40 = $(\left( {\FRAC{{7\; \TIMES \;1}}{{x\; \times \;1\;}} - \;1} \RIGHT))$ × 100 ⇒ 2/5 = 7/x - 1 ⇒ 2/5 + 1 = 7/x = 7/5 = 7/x ⇒ x = 5 ∴ He has to sell 5 pair of clips for a rupee to get PROFIT of 40% |
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| 17. |
John sells red chili powder. To earn more profit, he mixes brick powder in red chili powder. He buys red chili powder at Rs. 3000 per kg and sells at 5% less than cost price. How much brick powder should he mix in 5 kg of red chili powder so as to earn a profit of 12%?1). 756 grams2). 895 grams3). 990 grams4). 1 kg |
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Answer» SUPPOSE he mixes T kg of brick powder in 5 kg of chili powder. Cost price of 5 kg of chili powder = Rs. 3000 × 5 = Rs. 15000 After mixing, total amount of mixture = (5 + T) kg Selling price of 1 kg of mixture = 3000 – 3000 × (5/100) = Rs. 2850 Selling price of (5 + T) kg of mixture = Rs. 2850 × (5 + T) = Rs. (14250 + 2850T) We know, Selling Price = Cost Price × (1 + (Profit Percentage)/100) (14250 + 2850T) = 15000 × (1+ 12/100) 14250 + 2850T = 16800 T = 2550/2850 = 0.895 ∴ 0.895 kg or 895 GRAMS of brick powder should be mixed. |
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| 18. |
1). 8.7%2). 9.2%3). 3.15%4). 5% |
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Answer» USING the formula, (100 + G)/100 = TRUE weight/False weight, where G is the GAIN percentage ⇒ (100 + G)/100 = 1000/920 ⇒ 100 + G = 108.7 ∴ Gain Percent = 8.7% |
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| 19. |
Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs. 660. What was the marked price of the article?1). Rs. 6002). Rs. 7003). Rs. 8804). Rs. 800 |
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Answer» Selling price of article = Rs. 660 Profit = 10% Profit% = (SP - CP)/CP × 100 10 = (660-CP)/CP × 100 ⇒CP = 660 × 100/110 = Rs. 600 Discount% = (MP - CP)/MP × 100 Let the marked price be Rs. X and discount is 25% 25 = (X - 600)/X × 100 (X - 600) = X/4 ⇒ X = Rs. 800 Marked price = Rs. 800 |
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| 20. |
1). A = Rs. 76,200 C = Rs. 55,2002). A = Rs. 76,200 C = Rs. 48,4003). A = Rs. 84,605 C = Rs. 56,8904). A = Rs. 76,700 C = Rs. 52,800 |
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Answer» RATIO of their share in profit = Ratio of their investments ⇒ 60000 × 6 + 64000 × 2 + 66000 × 8 ? 72000 × 2 + 78000 × 8 ? 92000 × 8 Thus, ratio of their investments = 1016000 ? 768000 ? 736000 = 1016 ? 768 ? 736 = 127 ? 96 ? 92 Profit earned after a year = Rs. 1,89,000 A’s share = (127/315) × 189000 = Rs. 76200 C’s share = (92/315) × 189000 = Rs. 55200 Thus, A’s share is Rs. 76,200 and C’s share is Rs. 55,200. |
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| 21. |
2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Another mixture of 8 l contains 3/5 part water and the rest is sugar syrup. It both mixture are mixed together then what will be the ratio of water & sugar syrup in the new mixture?1). 8 : 52). 7 : 53). 4 : 34). 6 : 5 |
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| 22. |
A trader marked his goods at 25% above the cost price. He sold one third of the goods at the marked price, one quarter at a discount of 10% on the marked price and the rest at a discount of 30% on the marked price. His total gain is1). 6.25%2). 4.75%3). 12.5%4). 13% |
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Answer» LET the total number of ITEMS = 12 (L.C.M of 4 and 3 is 12) Let COST Price of each item = Rs.x ⇒ Total Cost Price = 12x Marked Price of each item = 1.25x As, one third of the stock is sold at the marked price, S.P1 = (1/3) × 12 × 1.25x = 5x As, one quarter of the stock is sold at a discount of 10% on the marked price, S.P2 = (1/4) × 12 × 0.9 × 1.25x = 3.375x As, the rest of the stock is sold at a discount of 30% on the marked price, S.P3 = 5 × 0.7 × 1.25x = 4.375x Total S.P = S.P1 + S.P2 + S.P3 ⇒ S.P = 5x + 3.375x + 4.375x = 12.75x Total C.P = 12x Total S.P = 12.75x Profit = 0.75x Profit Percentage = (0.75/12) × 100 = 6.25% |
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| 23. |
Profit of Rs. 728000 has to be divided among three partners Amir, Balaraj and Charan in the ratio 7 : 5 : 4. How much share does Charan get?1). Rs. 2275002). Rs. 3185003). Rs. 910004). Rs. 182000 |
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Answer» CHARAN‘s share = 4/(7 + 5 + 4) = 4/16 Money received by Charan = (4/16) × 728000 = RS. 1,82,000 |
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| 24. |
When the marked price of an item is reduced by 11%, the profit gained is 14%. If the cost price of the item is Rs. 810, what is the initial marked price?1). Rs. 10182). Rs. 1037.53). Rs. 1142.84). Rs. 1246.2 |
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Answer» LET the initial MARKED price be RS. ‘x’. ⇒ REDUCTION in price = 0.11x ⇒ Selling price = x – 0.11x = 0.89x ⇒ Profit GAINED = 0.14 × 810 = Rs. 113.4 ⇒ Selling price = 810 + 113.4 = Rs. 923.4 ⇒ 0.89x = 923.4 ∴ x = Rs. 1037.5 |
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| 25. |
X and Y started a business investing Rs. 12000 and Rs. 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs. 12500. What is the share (in Rs.) of Z in the profit?1). 60002). 45003). 72004). 7500 |
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Answer» X invested Rs. 12000 for 4 months ⇒ X’s TOTAL capital investment = 12000 × 4 = 48000 Y invested Rs. 9000 for 12 months ⇒ Y’s total capital investment = 9000 × 12 = 108000 Z invested Rs. 18000 for 12 - 4 = 8 months ⇒ Z’s total capital investment = 18000 × 8 = 144000 ? Ratio of profit SHARE = Ratio of total capital investment ⇒ Ratio of profit share = 48000 ? 108000 ? 144000 = 4 ? 9 ? 12 Sum of ratios = 4 + 9 + 12 = 25 Now, total profit = Rs. 12500 ∴ Z’s profit share = 12/25 × 12500 = Rs. 6000 |
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| 26. |
Three successive discounts of 20%, 25% and 15% are given. What will be the net discount (in percentage)?1). 602). 493). 554). 65 |
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Answer» Let, marked PRICE = x After first discount of 20%, price = x - x × 20/100 = 0.8x After second discount of 25%, price = 0.8x - 0.8x × 25/100 = 0.6x After third discount of 15%, price = 0.6x - 0.6x × 15/100 = 0.51x ∴ Net discount percentage, $(\RIGHTARROW \frac{{x - 0.51x}}{x} \times 100\%)$ ⇒ 49% |
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| 27. |
A man sells an article at 6.66% above its cost price. If he had bought it at 6.66% less than what he paid for it and sold it for Rs. 5 less, he would have gained 12.14%. Find the approximate cost price of the article.1). Rs. 2302). Rs. 2803). Rs. 3204). Rs. 250 |
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| 28. |
A shop keeper purchased 10 boxes of pencils containing 10 pencils each at Rs. 100 per box and sold each pencil at a profit 12%. What is the total sale price?1). Rs. 1,1002). Rs. 1,1203). Rs. 1,2004). Rs. 1,210 |
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Answer» Cost of 100 pencils = 100 × 100/10 = Rs. 1000 Profit percentage = 12% ∴ Total SALE price = 112/100 × 1000 = Rs. 1120 |
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| 29. |
1). 30%2). 33%3). 25%4). 20% |
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Answer» As per the given DATA, Cost PRICE of goods = selling price of goods Let the selling price of the goods be Rs.100 Given that 20% less goods, he is giving ∴ Actual selling price of goods = Rs.80 Let the x be the profit ⇒ 80 + (x/100 × 80) = 100 ⇒ 80x/100 = 20 ⇒ x = 2000/80 = 25% ∴ Profit percent is 25% |
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| 30. |
A person sold a horse at a gain of 15%. Had he bought it for 25% less and sold it for Rs 600 less, he would have made a profit of 32%. The cost price of the horse was:1). 37502). 32503). 27504). 2250 |
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Answer» Let the CP of the horse be k Then SP of the horse = k + 15% of k = k + 0.15k = 1.15k If he WOULD have BOUGHT it for 25% LESS, CP = k – 25% of k = k – 0.25k = 0.75k SP = 1.15k – 600 Profit = SP – CP = 1.15k – 600 – 0.75k = 0.4k – 600 Profit% = (Profit/CP) × 100 ⇒ 32 = (0.4k – 600) × 100/0.75k ⇒ 24K = 40k – 60000 ⇒ 16k = 60000 ⇒ k = 60000/16 ⇒ k = 3750 |
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| 31. |
1). 3407.52). 31083). 3595.54). 3290 |
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Answer» LET the MARKED price of article be Rs.4700 After giving two successive discounts of 10% and 15%, the selling price will be, $( \Rightarrow S.P = \;4700 \TIMES \frac{{\left( {100 - 10} \RIGHT)}}{{100}} \times \frac{{\left( {100 - 15} \right)}}{{100}})$ $( \Rightarrow S.P = \;4700 \times \frac{{\left( {90} \right)}}{{100}} \times \frac{{\left( {85} \right)}}{{100}})$ ⇒ S.P = 3595.5 Hence, the marked price of an article = Rs. 3595.5 |
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| 32. |
1). 15%2). 60%3). 65%4). 70% |
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Answer» Let the C.P of 40 ARTICLES be x, hence the selling price of 25 articles is x. The C.P of each ARTICLE = x/40 And the selling price of each article = x/25 Now, S.P = C.P + profit ⇒ x/25 = x/40 + profit Hence, profit = x/25 – x/40 Profit = 3x/200 For a C.P of x/40, profit is 3x/200 Let profit % = y% Hence, y% of x/40 = 3x/200 y/100 × x/40 = 3x/200 y = 3 × 40 × 100 /200 = 60% |
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| 33. |
Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he brought. What was his percent loss in labelled price?1). 22). 63). 44). 8 |
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Answer» LET, x be the LABELLED price of the wrist watch ∴ Price at which he brought the watch $(= \;x - \;\frac{{30}}{{100}}x = \left( {1 - 0.3} \right)x = 0.7x)$ Again, Price at which he sold the watch = $(\;0.7x + \frac{{40}}{{100}} \times 0.7x)$ $(= \left( {1 + \;\frac{{40}}{{100}}} \right) \times 0.7x = 0.98x)$ ∴ Required PERCENTAGE loss in labelled price = $(\frac{{x\; - \;0.98x}}{x} \times 100{\RM{\;}} = {\rm{\;}}0.02{\rm{\;}} \times {\rm{\;}}100{\rm{\;}} = {\rm{\;}}2{\rm{\% }})$ |
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| 34. |
1). 102). 203). 304). 40 |
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Answer» Let the COST PRICE of a COCONUT is Rs. ‘x’ Cost price - loss = selling price ⇒ x - 20% of x = 24 ⇒ x - 0.2x = 24 ⇒ 0.8x = 24 ⇒ x = 24/0.8 = Rs. 30 Cost price of a coconut = Rs. 30 When the selling price is Rs. 36, ∴ PROFIT % = [(36 - 30)/30] × 100 = 20% |
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| 35. |
The selling price of 8 mangoes is equal to the cost price of 5 mangoes. Then the percentage of loss is1). 202). 37.53). 25.754). 30.65 |
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Answer» Let the COST price of 5 mangoes be RS.x So, the cost price of 1 mangoes = Rs.(x/5) The SELLING price of 8 mangoes is EQUAL to the cost price of 5 mangoes. Then, the selling price of 8 mangoes = Rs.x So, the selling price of 1 mangoes = Rs.(x/8) Loss = Cost price – Selling price = Rs.(x/5) – (x/8) = Rs. 3x/40 Hence, the required loss percentage = [(3x/40)/(x/5)] × 100 = 300/8 = 37.5 |
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| 36. |
A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If thecustomer pays Rs. 3,402 as the price including the sales tax, then the marked price is1). Rs. 3,4002). Rs. 3,5003). Rs. 3,6004). Rs. 3,800 |
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Answer» Let the discounted price be Rs. ‘x’ Customer pays Rs. 3,402 as the price including the sales tax and charges a sales tax of 8% on the discounted price. Therefore, 108% of discounted price = 3402 ⇒ (108/100) × x = 3402 ⇒x = (3402 ×100)/108 ⇒x = Rs.3150 Shopkeeper ALLOWS a DISCOUNT of 10% on the marked price. Therefore, 90% of M.P = discounted price $(\RIGHTARROW \frac{{90}}{{100}} \TIMES M.P = 3150)$ ⇒ $(M.P = \frac{{3150 \times 100}}{{90}})$ = Rs.3500 |
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| 37. |
In a festival season sale, a pair of jeans is sold at successive discounts of 20%, 30% and 50%. What will be its selling price if the marked price is Rs. 2000?1). Rs. 5602). Rs. 603). Rs. 14404). Rs. 2000 |
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Answer» A successive discount of 20%, 30% and 50% means that a discount of 20% is APPLIED on original marked price to obtain REVISED price. Then, 30% discount is applied on this revised price to obtain a NEW revised price. Then, 50% discount is applied on this new revised price to obtain final selling price. Here, Marked price = Rs. 2000 So, Revised Price = Marked Price × (1 – (Discount Percentage)/100) ⇒ Revised Price = 2000 × (1 – 20/100) = 2000 × 0.8 = 1600 ⇒ New Revised Price = Revised Price × (1 – 30/100) = 1600 × 0.7 = 1120 ⇒ Final Selling Price = New Revised Price × (1 – 50/100) = 1120 × 0.5 = 560 ∴ Selling price of a PAIR of jeans = Rs. 560 |
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| 38. |
1). Rs. 5,4002). Rs. 5,6003). Rs. 5,8004). Rs. 6,000 |
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Answer» LET the cost price at which A bought be x. A sold it to B with a profit of 16% ∴ SP1 = 116x/100 B sold it to C at a loss of 10% 4698 = (116x/100) × (90/100) ∴ x = RS. 4,500 To get a profit of 20% A should sell at a price = (120/100) × 4500 = Rs. 5400 |
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| 39. |
The difference between cost price and selling price is Rs. 575. If profit percentage is 23%, then what is the selling price (in Rs.)?1). 32252). 19253). 25004). 3075 |
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Answer» ? Cost PRICE + Profit = Selling price ⇒Profit = Cost price – Selling price = RS. 575 ⇒23% of Cost price = 575 ⇒Cost price = 575/0.23 = Rs. 2500 ∴ Selling price = 2500 + 575 = Rs. 3075 |
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| 40. |
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?1). Rs. 20002). Rs. 16003). Rs. 19204). Rs. 1800 |
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| 41. |
From the manufacturer to the customer, a product is sold twice at a profit of 8% and 6% respectively. If the original price of the product was Rs. 2500, find the price of the product after two successive selling.1). Rs. 27642). Rs. 28623). Rs. 29484). Rs. 3020 |
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Answer» Price of PRODUCT after TWO successive selling ⇒ (100 + 6)% of (100 + 8)% of 2500 ⇒ 1.06 × 1.08 × 2500 ⇒ RS. 2862 |
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| 42. |
1). Rs. 15,0002). Rs. 12,0003). Rs. 13,0004). Rs. 10,000 |
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Answer» LET the investment of JALAL, Amit and Feroz be x, y and z Given that invests 4 times as much as Amit and Amit invests ¾ of what Feroz invests. ⇒ x = 4y and y = 3/4 z Given that total profit at the END of year is Rs.19000 ⇒ x + y + z = 19000 ⇒ 4y + y + 4y/3 = 19,000 ⇒ 12Y + 3y + 4y = 57,000 ⇒ 19y = 57,000 ⇒ y = 3,000 Jalal investment (x) = 4y = 4 (3, 000) = Rs.12,000 |
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| 43. |
The marked price of an article is 10/7 of the cost price and the selling price of that article is 4/5 of the marked price. What is the profit percentage?1). 17.24 2). 16.663). 14.28 4). 15.42 |
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Answer» Marked Price (MP) = (10/7) Cost Price (CP)----(1) Selling Price (SP) = (4/5) Marked Price (MP)----(2) SUBSTITUTING MP from EQUATION 1 in Equation 2, we get SP = (4/5) × (10/7) × CP = (8/7) CP Profit PERCENTAGE = [(SP – CP)/CP] × 100 = [(8/7CP - CP)/CP] × 100 = (1/7) × 100 = 14.28% ∴ Required Percentage = 14.28% |
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| 44. |
An article is sold at 10% profit instead of 10% loss, the man gains Rs. 20 more. What is the cost price (in Rs.) of that article?1). 502). 1003). 2004). 400 |
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Answer» Let the Cost PRICE of article be x Gain = 10% Selling price of article = x + (10/100) × x = 1.1x Now the article is SOLD at loss Loss = 10% Selling price of article = x - (10/100) × x = 0.9x The DIFFERENCE between the selling prices is Rs. 20 1.1x - 0.9x = 20 0.2x = 20 ⇒ x = Rs. 100 Cost price of article is Rs. 100 |
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| 45. |
A pen is listed for Rs. 16. A discount of 12% is given on it. A second discount is given bringing the price down to Rs. 10.56. The rate of second discount is1). 20%2). 15%3). 18%4). 25% |
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Answer» SELLING price of pen after first discount = Rs. 16 × (88/100) = Rs. 14.08 A second discount is given bringing the price down to Rs. 10.56. So, price drop in second discount = Rs. 14.08 - 10.56 = Rs. 3.52 ∴ The second discount RATE = [(3.52/14.08) × 100] = 25% |
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| 46. |
1). Rs. 20002). Rs. 30003). Rs. 35604). Rs. 4620 |
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| 47. |
1). Rs. 75002). Rs. 12503). Rs. 15004). Rs. 4000 |
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Answer» We know that, Amount of PROFIT share is the product of amount and time invested. ⇒ Profit of Yash ? Profit of MOHIT = (55000 × 6) ? (20000 × 3) = 11 ? 2 Profit share of Mohit = [2/(11 + 2) ] × 26000 = Rs. 4000 ∴ Profit share of Mohit = Rs. 4000 |
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| 48. |
A photographer allows a discount of 10% on the advertised price of a camera. The price (in Rs) that must be marked on the camera, which cost him Rs 600, to make a profit of 25% would be1). 833.332). 844.453). 890.564). 850.00 |
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Answer» According to the given condition , 90% of M.P = 125% of CP ∴ M.P = (1.25 × 600)/0.9 = 833.33 ∴ The MARKED PRICE of the camera would be Rs 833.33 |
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| 49. |
A dishonest shopkeeper is selling wheat flour at a price 5% above its cost price. But, using faulty weights, he makes a total profit of 10%. If a man buys 4 kg of flour, how much flour did he actually gave him?1). 3.54 kg2). 3.60 kg3). 3.78 kg4). 3.82 kg |
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Answer» Let the cost price of the flour be Rs. x PER kg and the amount of flour that the shopkeeper actually gave to the man be ‘y’ kg Selling price of 1 kg flour = (100 + 5)% of x = Rs. 1.05x Amount PAID by man = Selling price of 4 kg flour = 4 × 1.05x = Rs. 4.2x Actual cost of flour taken by man = Rs. xy Hence, profit EARNED by the shopkeeper = 4.2x – xy = x(4.2 – y) ⇒ 10% of xy = x(4.2 – y) ⇒ 0.1y = 4.2 – y ⇒ 1.1y = 4.2 ⇒ y = 4.2/1.1 = 3.82 kg ∴ The shopkeeper gave only 3.82 kg of flour to the man |
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| 50. |
Divya buys 35 apples from a shopkeeper at a rate of Rs. 1.25 per apple. She sells it to Meha at a profit of 15%. However Meha herself eats 7 apples. Still after selling those apples, she gains a profit of 20%. For how much does Meha sell each apple?1). Rs. 1.52). Rs. 1.8513). Rs. 2.1564). Rs. 2.25 |
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Answer» $(CP\; = \;\frac{{SP}}{{1\; + \;profit\% }})$ SP = CP(1 + Profit%) Where, CP = cost price SP = Selling Price For DIVYA, CP = 35 × 1.25 = Rs. 43.75, Profit = 15% ∴ SP = 43.75 (1 + 0.15) = 43.75 × 1.15 = Rs. 50.3125 for 35 apples For Meha, CP = Rs. 50.3125 for 35 apples She eats 7 apples. ∴ She has 28 apples now. Profit % = 20% ∴ SP = 50.3125(1 + 0.2) = Rs. 60.375 for 28 apples. ∴ MEHAK sells each banana at a price of Rs. 2.156. |
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