Saved Bookmarks
This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A trader marks his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is (a) 2% (b) 4.5% (c) 13.5% (d) 15% |
|
Answer» (a) 2% Let the C.P. of the total stock = Rs 100 Then, M.P. of the total stock = Rs 120 \(\therefore\) S.P.= \(\frac{1}{2}\) x 120 + \(\frac{1}{4}\) x \(\frac{80}{100}\) x 120 + \(\frac{1}{4}\) x \(\frac{60}{100}\) x 120 = Rs (60+24+18) = Rs 102 \(\therefore\) Total gain = Rs 102 – Rs 100 = Rs 2, i.e., 2% |
|
| 2. |
A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of (a) 9% (b) 10% (c) 10.5% (d) 11% |
|
Answer» (b) 10% Let the C.P. = Rs 100, M.P. = Rs 110 Loss = 1% \(\Rightarrow\) S.P = Rs \(\big(\frac{99}{100}\times100\big)\) = Rs 99 \(\therefore\) Discount = Rs 110 – Rs 99 = Rs 11 \(\therefore\) Discount percent = \(\big(\frac{11}{110}\times100\big)\)% = 10% |
|
| 3. |
If 10% discount is allowed on the marked price of an article, the profit of a dealer is 20%. If he allows a discount of 20% his profit will be(a) \(4\frac{1}{3}\)%(b) 5%(c) \(6\frac{2}{3}\)%(d) 8% |
|
Answer» (c) \(6\frac{2}{3}\)% Let the M.P. of the article = Rs 100 Discount = 10% \(\therefore\) S.P. = 90% of Rs 100 = Rs 90, Profit = 20% \(\therefore\) C.P. = Rs \(\frac{90\times100}{120}\) = Rs 75 If the discount is 20%, then S.P. = 80% of Rs 100 = Rs 80 \(\therefore\) Required profit % = \(\frac{(80-75)}{75}\) x 100 = \(\frac{5}{75}\)x 100 = \(6\frac{2}{3}\)% |
|
| 4. |
At what per cent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price. (a) 25% (b) 30%(c) \(33\frac{1}{3}\)%(d) \(37\frac{1}{2}\)% |
|
Answer» (c) 33\(\frac{1}{3}\)% Let the M.P. be Rs x. Discount = 10% \(\therefore\) S.P. = 90% of Rs x = Rs \(\frac{9X}{10}\), Profit = 20% C.P = \(\frac{\frac{9X}{10}\times100}{120}\) = \(\frac{3}{4}\)x \(\therefore\) Reqd. percent = \(\frac{\big(X-\frac{3}{4}X\big)}{\frac{3}{4}X}\)x 100 = \(\frac{100}{3}\)% = 33\(\frac{1}{3}\)% |
|
| 5. |
A fan is listed at Rs 1500 and a discount of 20% is offered on the list price. What additional discount must be offered to the customer to bring the net price to Rs 1104. (a) 8% (b) 10% (c) 12% (d) 15% |
|
Answer» (a) 8% M.P. = Rs 1500, Discount = 20% \(\therefore\) S.P. = 80% of Rs 1500 = Rs 1200 Final S.P. = Rs 1104 \(\therefore\) Additional discount = Rs 1200 – Rs 1104 = Rs 96 \(\therefore\) Additional discount rate = \(\frac{96}{1200}\)x100 = 8% |
|
| 6. |
A shopkeeper sold a TV set for Rs 17940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered ? |
|
Answer» Let the marked price of the TV set be Rs x. Discount = 8% \(\therefore\) S.P. of the TV = 92 % of Rs x = Rs \(\frac{92X}{100}\) Given, \(\frac{92X}{100}\) = 17940 \(\Rightarrow\) x = Rs \(\frac{17940\times100}{92}\) = Rs 19500 S.P. = Rs 17940, Profit = 19.6% \(\therefore\) C.P. = Rs \(\big(\frac{17940\times100}{119.6}\big)\) = Rs 15000 Had no discount been offered S.P. would have been Rs 19500 \(\therefore\) Profit = Rs 19500 – Rs 15000 = Rs 4500 Profit% = \(\frac{4500}{15000}\)x 100 = 30% |
|
| 7. |
A discount series of p% and q% on an invoice is the same as a single discount of(a) \(\big(\)(p+q)-\(\frac{pq}{100}\)\(\big)\)%(b) \(\big(p-q+\frac{pq}{100}\big)\)%(c) \(\{100-\big(p+q+\frac{pq}{100}\big)\}\)%(d) \(\frac{pq}{100}\)% |
|
Answer» Let the M.P. of the invoice = Rs 100. Then, S.P. = (100 – p)% of (100 – q)% of Rs 100 = Rs \(\{\frac{(100-p)}{100}\times\frac{(100-q)}{100}\times100\}\) = Rs \(\frac{(100-p)(100-q)}{100}\) \(\therefore\) Single discount = \(\{100-\frac{(100-p)(100-q)}{100}\}\)% = \(\Big[\frac{10000-\{10000-100q-100p+pq\}}{100}\Big]\)% = \(\frac{100q+100p-pq}{100}\) = \(\{(p+q)-\frac{pq}{100}\}\)% |
|
| 8. |
What is more favourable for a buyer — A discount series of 20%, 15% and 10% or a discount series of 25%, 12% and 8% ? (a) First (b) Second (c) Both first and second (d) None |
|
Answer» (b) Second Let the marked price = Rs 100 S.P. for the 1st discount series = \(\frac{80}{100}\) x \(\frac{85}{100}\)x \(\frac{90}{100}\) x 100 = Rs 61.20 S.P. for the 2nd discount series = \(\frac{75}{100}\) x \(\frac{88}{100}\) x \(\frac{92}{100}\) x 100 = Rs 60.72 \(\therefore\) The second discount series is more favourable. |
|
| 9. |
An article listed at Rs 800 is sold at successive discounts of 25% and 15%. The buyer desires to sell it off at a profit of 20% after allowing a 10% discount. What would be his list price ? (a) Rs 620 (b) Rs 600 (c) Rs 640 (d) Rs 680 |
|
Answer» (d) Rs 680 M.P = Rs 800 \(\therefore\) C.P. of the buyer = 75% of 85% of Rs 800 = \(\frac{75}{100}\) x \(\frac{85}{100}\)x Rs 800 = Rs 510 Profit = 20% \(\therefore\) S.P. of the buyer = Rs \(\big(\frac{510\times120}{100}\big)\) = Rs 612 Discount = 10% \(\therefore\) List price of the buyer = Rs \(\big(\frac{612\times100}{90}\big)\) = Rs 680. |
|
| 10. |
On an article with marked price Rs 20000, a customer has a choice between the successive discounts of 20%, 20% and 10% and three successive discounts of 40%, 5% and 5%. How much can he save by choosing the better offer ? |
|
Answer» M.P. = Rs 20000 S.P. after choosing 1st set of successive discounts = 80% of 80% of 90% of Rs 20000 = \(\frac{80}{100}\) x \(\frac{80}{100}\) x \(\frac{90}{100}\) x Rs 20000 = Rs 11520 S.P. after choosing 2nd set of successive discounts = 60 % of 95% of 95% of Rs 20000 = \(\frac{60}{100}\) x \(\frac{95}{100}\)x \(\frac{95}{100}\) x Rs 20000 = Rs 10830 \(\therefore\) The second offer is better and the customer can save (Rs 11520 – Rs 10830) = Rs 690. |
|
| 11. |
The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately the price of the article is (a) Increased by 10% (b) Increased by 5.3% (c) Decreased by 3% (d) Decreased by 5.3% |
|
Answer» (d) Decreased by 5.3% Let the original cost of the article be Rs x. Raising it by 30%, M.P. = x x \(\frac{130}{100}\) = Rs \(\frac{13X}{10}\) After allowing two discounts each of 10%, the price of the article = \(\frac{13X}{10}\) x \(\frac{90}{100}\) x \(\frac{90}{100}\) = Rs \(\frac{1053X}{1000}\) Percent increase in the cost of the article = \(\frac{\big(\frac{1053}{1000}-X\big)}{X}\) x 100 = \(\frac{53X}{1000X}\) x 100 = 5.3% |
|
| 12. |
A dealer buys an article listed at Rs 100 and gets successive discounts of 10% and 20%. He spends 10% of the cost price on transport. At what price should he sell the article to earn a profit of 15% ? (a) Rs 90(b) Rs 90.02 (c) Rs 91.08 (d) Rs 91.28 |
|
Answer» (c) Rs 91.08 Cost price of the article after discount = 90% of 80% of Rs 100 = \(\frac{90}{100}\) x \(\frac{80}{100}\) x Rs 100 = Rs 72 Amount spent on transport = 10% of Rs 72 \(\therefore\) Net C.P. = Rs 72 + Rs 7.20 = Rs 79.20 Profit = 15% \(\therefore\) S.P. = Rs \(\big(\frac{79.2\times115}{100}\big)\)= Rs 91.08 |
|
| 13. |
A shopkeeper claims to sell his articles at a discount of 10%, but marks his articles by increasing the cost of each by 20%. His gain per cent is (a) 6% (b) 8% (c) 10% (d) 12% |
|
Answer» (b) 8% Let C.P. = Rs 100. Then M.P. = Rs 120 Discount = 10% \(\therefore\) S.P. = 90% of Rs 120 = \(\frac{90}{100}\) x Rs 120 = Rs 108 \(\therefore\) Gain % = 8% |
|
| 14. |
The marked price of a shirt and trousers are in the ratio 1:2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, the discount offered on trousers is (a) 15% (b) 20% (c) 25% (d) 30% |
|
Answer» (c) 25% Let the M.P. of a shirt be Rs x and that of trousers be Rs 2x Let the discount on the trousers be y% Then, \(\frac{60}{100}\) x x + \(\frac{(100-y)}{100}\) x 2x = \(\frac{70}{100}\)x (x+2x) \(\Rightarrow\) \(\frac{3}{5}\) + \(\frac{(100-y)}{100}\) = \(\frac{21}{10}\) \(\Rightarrow\) \(\frac{100-y}{100}\) = \(\frac{21}{10}\) - \(\frac{3}{5}\) = \(\frac{21-6}{10}\) = \(\frac{15}{20}\) = \(\frac{3}{2}\) \(\Rightarrow\) (100 – y) = \(\frac{3}{2}\) x 50 = 75 \(\Rightarrow\) y = 25% |
|
| 15. |
A shopkeeper marks his goods at 20% above the cost price. He sells three - fourths of his goods at the marked price. He sells the remaining goods at 50% of the marked price. Determine his profit per cent on the whole transaction. (a) 10% (b) 8% (c) 5% (d) 7% |
|
Answer» (c) 5% Let the C.P. = Rs 100. Then, M.P. = Rs 120 S.P of \(\frac{3}{4}\)th of goods = \(\frac{3}{4}\) x Rs 120 = Rs 90 S.P. of remaining \(\frac{1}{4}\)th of goods = \(\frac{50}{100}\)x \(\frac{1}{4}\) x Rs 120 =Rs 15 \(\therefore\) Total S.P. = Rs 90 + Rs 15 = Rs 105 \(\therefore\) Gain = Rs 105 – Rs 100 = Rs 5, i.e., Gain% = 5% |
|
| 16. |
What do you understand by Successive Discounts? |
|
Answer» When two or more discounts are allowed one after the other, then such discounts are known as successive discounts. In successive discounts, one discount is subtracted from the marked price to get net price after the 1st discount. This net price becomes the marked price and the second discount is calculated on it and subtracted from it to get the net price after second discount and so on. |
|
| 17. |
Give the formula for Marked price? |
|
Answer» M.P = \(\frac{S.P\times100}{100-Discount%}\) |
|
| 18. |
Kunal bought a suitcase with 15% discount on the labelled price. He sold the suitcase for Rs 2880 with 20% profit on the labelled price. At what price did he buy the suitcase ? (a) Rs 2040 (b) Rs 2400 (c) Rs 2604 (d) Rs 2640 |
|
Answer» (a) Rs 2040 S.P. = Rs 2880, Profit = 20% Let the labelled price be Rs x. Then, 120% of x = 2880 \(\Rightarrow\) x = \(\frac{2880\times100}{120}\) = 2400 \(\therefore\) C.P. = 85% of Rs 2400 = Rs \(\big(\frac{85}{100}\times2400\big)\) = Rs 2040 |
|
| 19. |
What does customer pays? |
|
Answer» The customer or the buyer pays the difference between the marked price and the discount. Thus, S.P. = M.P. – Discount |
|
| 20. |
What do you understand by the term Discount? |
|
Answer» Discount is the per cent of rebate offered on the marked price (printed or list price) of goods. Discount = \(\frac{Discount\,rate}{100}\) x M.P. |
|