Discount problems
- 1. The marked price of a TV is ? 16000 . After two successive discounts, it is sold for ? 11400 . If the first discount is 5 % , then the rate of second discount is
Options- A. 15 %
- B. 20 %
- C. 30 %
- D. 25 % Discuss
Correct Answer: 25 %
Explanation:
Let the rate of second discount = r %
? 11400 = 16000 (1 - 5/100) (1 - r/100)
? (11400/16000) x (20/19) = 1 - r/100
? r = 100 x (1 - 0.75) = 25 %
- 2. A trader lists his article 20 % above their cost prices and allows a discount of 10 % at the time of sale . His gain percent is
Options- A. 5 %
- B. 6 %
- C. 8 %
- D. 10 % Discuss
Correct Answer: 8 %
Explanation:
Let the CP = N
? Marked price of item = (N x 120)/100 = 6N/5
Then, SP of item = (6N/5) x (100 -10)/100 = 27N/25
Profit = (27N/25) - N = 2N/25
Profit % = [(2N/25) / N] x 100% = 8 %
- 3. While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9% he would have got ? 15 less as profit . The marked price of the shirt is
Options- A. ? 750
- B. ? 720
- C. ? 712.50
- D. ? 600 Discuss
Correct Answer: ? 750
Explanation:
Let MP of the shirt = ? N
According to the question,
[(9 - 7) x N] / 100 = 15
? N = (15 x 100) / 2 = ? 750
- 4. While selling a watch, a shopkeeper gives a discount of 5 % . If he gives a discount of
6 %, he earns ? 15 less as profit. What is the marked price of the watch?
Options- A. ? 1250
- B. ? 1400
- C. ? 1500
- D. ? 750 Discuss
Correct Answer: ? 1500
Explanation:
Given, r1 = 5 %, r2 = 6 %and earning = ? 15
Let marked price of the watch be ? N .
Then, (6 - 5) % of N = 15
? N = 15 x 100
? N = ? 1500
- 5. After allowing a discount of 16%, there was still a gain of 5%. Then, the percentage of marked price over the cost price is
Options- A. 15%
- B. 18%
- C. 21%
- D. 25% Discuss
Correct Answer: 25%
Explanation:
Here, r = 16% and R = 5%
? Required percentage
= [(r + R)/(100 - r)] x 100%
= [(16 + 5)/(100 - 16)] x 100% = 21 x 100/84% = 25 %
- 6. A Shopkeeper marks an article at ? 60 and sells at a discount of 15%. He also gives a gift worth ? 3 . If the still makes 20% profit, the cost price is
Options- A. ? 22
- B. ? 32
- C. ? 40
- D. ? 42 Discuss
Correct Answer: ? 40
Explanation:
? MP of the article = ? 60
SP of the article = [60 x (100 - 15)]/100
= (60 x 85)/100 = ? 51
Thus, actual SP of the article = (51 - 3) = ? 48
Hence, CP of the article = (48 x 100)/(100 + 20)
= (48 x 100)/120
= ? 40
- 7. A tradesman allows a discount of 15% on the marked price. How much above the cost price must he mark his goods as to gain 19%?
Options- A. 34%
- B. 40%
- C. 25%
- D. 30% Discuss
Correct Answer: 40%
Explanation:
Here, r = 15% and R = 19%
? Requirement percentage = [(r + R) / (100 - r)] x 100%
= [(15 + 19) / (100 - 15)] x 100% = [(34 x 100) / 85 ] % = 40%
- 8. If marked price of an article an article is 30% more than its cost price and 10% discount is given, then profit per cent is
Options- A. 181/2%
- B. 20%
- C. 11/2%
- D. 17% Discuss
Correct Answer: 17%
Explanation:
Here, r = 30% and r1 = 10%
? Profit per cent = [{r x (100 - r1)}/100] - r1
= [30 x (100 - 10)/100] - 10
= [30 x 90/100] - 10
= 27 -10 = 17%
- 9. If a shopkeeper sold a book with 20% profit after giving a discount of 10% on marked price. The ratio of cost price and marked price of the book is
Options- A. 6 : 5
- B. 5 : 6
- C. 3 : 4
- D. 2 : 3 Discuss
Correct Answer: 3 : 4
Explanation:
Let the marked price of book = ? N
Selling price after 10% discount = 90N/100 = ? 9N/10
Profit = 20%
? Cost price of book = (9N/10) x (100N/120) = ? 3N/4
Hence, required ratio = 3N/4 : N = 3 : 4
- 10. A shopkeeper marked 50% more price than cost price of the article . If he allows 30% discount to his customers, then his profit per cent is
Options- A. 5%
- B. 10%
- C. 12%
- D. 15% Discuss
Correct Answer: 5%
Explanation:
Here, r = 50% and r1 = 30%
? Gain per cent = [r(100 - r1)/100] - r1
= [50 x (100 - 30)/100] - 30
= 35 - 30 = 5%
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