Discount problems
- 1. Two successive discounts of 20% and 20% are equivalent to a single discount of
Options- A. 42%
- B. 40%
- C. 36%
- D. 34% Discuss
Correct Answer: 36%
Explanation:
Given, r1 = 20% and r2 = 20%
? Single discount equal to r1 and r2
= (r1 + r2 - r1 x r2) / 100 %
= (20 + 20 - 20 x 20) / 100
= 40 - 4 = 36%
- 2. On a 20 % discount sale, an article costs 596 . What was the original price of the article?
Options- A. ? 720
- B. ? 735
- C. ? 745
- D. ? 775 Discuss
Correct Answer: ? 745
Explanation:
Let the original price of be N .
? At discount of 20% article costs ? 596
? 596 = (80 x N)/100
? N = (596 x 100)/80
? N = 745
? original price = ? 745
- 3. If an electricity bill is paid before due date, one gets a reduction of 4 % on the amount of the bill . By paying the bill before due date, a person got a reduction of ? 13 . The amount of his electricity bill was
Options- A. ? 125
- B. ? 225
- C. ? 325
- D. ? 425 Discuss
Correct Answer: ? 325
Explanation:
Let amount of electricity bill = ? N
? 4% of N = 13
? (4 x N)/100 = 13
? N = 13 x 25 = ? 325
- 4. Successive discounts of 10%, 20% and 30% is equivalent to single discount of?
Options- A. 60%
- B. 49.6%
- C. 40.5%
- D. 36% Discuss
Correct Answer: 49.6%
Explanation:
Here, r1 = 10 %, r2 = 20% and r3 = 30%
? Required discount
= [1 - (1 - r1/100) (1 - r2/100) (1 - r3/100)] x 100%
= [1 - (1 -10/100) (1 - 20/100) (1 - 30/100)] x 100%
= {1 - (9/10) x (4/5) x (7/10)} x 100%
= (1 - 0.504) x 100% = 49.6%
- 5. A shopkeeper has announced 14% rebate on marked price of an article. If the selling price of the article is ? 645, then the marked price of the article will be?
Options- A. ? 800
- B. ? 810
- C. ? 750
- D. ? 775 Discuss
Correct Answer: ? 750
Explanation:
Let the marked price of item = ? N
? {(100 - 14) /100 } of N = 645
? N = (645 x 100)/86 = ? 750
- 6. A merchant has announced 25% rebate on prices of ready made garments at the time of sale. If a purchaser needs to have a rebate of ? 400, then how many shirts, each costing ? 320, should he purchase?
Options- A. 10
- B. 7
- C. 6
- D. 5 Discuss
Correct Answer: 5
Explanation:
? Marked price of a shirt = ? 320
Discount on a shirt = 320 x 25/100 = ? 80
? Number of shirts has to be purchased to get a rebate of ? 400 = 400/80 = 5
- 7. The difference between a discount of 40% on ? 500 and two successive discounts of 36% and 4% on the same amount is?
Options- A. ? 0
- B. ? 2
- C. ? 1.93
- D. ? 7.20 Discuss
Correct Answer: ? 7.20
Explanation:
? Single discount equivalent to 36% and 4%
= 36 + 4 - {(36 x 4)/100} = 38.56
? Required difference
= {(40 - 38.56) x 500}/100 = 1.44 x 5 = ? 7.20
- 8. A merchant marked the price on his goods 20% more than its cost price and allows a discount of 15%. His gain percent is
Options- A. 1%
- B. 2%
- C. 10%
- D. 15% Discuss
Correct Answer: 2%
Explanation:
Here, r = 20% and r1 = 15%
Required profit per cent =[ r(100 - r1)/100] - r1
= [20(100 - 15)/100] - 15
= 17 - 15
= 2%
- 9. Rita bought a television set with 20% discount on the labelled price. She made a profit of ? 800 by selling it for ? 16800. The labelled price of the set was
Options- A. ? 10000
- B. ? 20000
- C. ? 20800
- D. ? 24000 Discuss
Correct Answer: ? 20000
Explanation:
Let labelled price of TV = ? R
? SP of the TV = [R x (100 - 20)] / 100 = ? 4R/5
But 16800 - 800 = 4R/5
? x = (16000 x 5)/4 = ? 20000
- 10. The marked price of an article is ? 500. It is sold on two successive discounts of 20% and 10%. The selling price of that article is
Options- A. ? 350
- B. ? 375
- C. ? 360
- D. ? 400 Discuss
Correct Answer: ? 360
Explanation:
? Marked price of an article = ? 500
The selling price of article after discount 20% and 10%
= 500 x {(100 - 20) / 100} x {(100 - 10) / 100}
= 500 x (80/100) x (90/100)
= ? 360
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