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- Question
- 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%
- Correct Answer
- 5%
ExplanationHere, r = 50% and r1 = 30%
? Gain per cent = [r(100 - r1)/100] - r1
= [50 x (100 - 30)/100] - 30
= 35 - 30 = 5% - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 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
- 6. A man purchased a shirt and pant with a discount of 25% on its marked price. He sold them at a price 40% more than the price at which he bought them. How much percent the new selling price to its marked price?
Options- A. 5%
- B. 7.5%
- C. 9%
- D. 12.5% Discuss
- 7. By selling an article at 80 % of its marked price, a trader makes a loss of 10 %, what will be a profit percentage, if he sells it at 95 % of its marked price?
Options- A. 6.9 %
- B. 5 %
- C. 5.9 %
- D. 12.5 % Discuss
- 8. What is the maximum percentage discount (approximately) that a merchant can offer on his marked price, so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%?
Options- A. 60%
- B. 28.5%
- C. 33.5%
- D. No discount Discuss
- 9. A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs ? 450, is
Options- A. ? 600
- B. ? 540
- C. ? 660
- D. ? 580 Discuss
- 10. A dozen pair of socks quoted ? 80 are available at a discount of 10%. How many pair of socks can be bough for ? 24?
Options- A. 4
- B. 5
- C. 3
- D. 6 Discuss
Discount problems
Search Results
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
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%
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%
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
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 %
Correct Answer: 5%
Explanation:
Let the original price of pant and shirt be = ? N.
? Cost price of point and shirt = [N x (100 - 25)]/100 = ? 3N/4
And selling price of shirt and pant = (3N/4) x (100 + 40)/100 = (3N/4) x (140/100)
= ? 21N/20
Hence, required percentage
= [(21N/20 - N)/ N] x 100 % = 100 / 20 % = 5%
Correct Answer: 6.9 %
Explanation:
Let marked price = ? 100
And selling price = ? 80
In condition of 10% loss the cost price of article = (80 x 100)/90 = ? 800/9
According to the question,
When SP = 95, then
? Required profit percentage = [{95 - (800/9)} / (800/9)] x 100 = 55/8
= 6.9% (approx)
Correct Answer: 28.5%
Explanation:
Let cost price = ? 100
And marked price = 100 + 40 = ? 140
Let required discount be R %.
According to the question,
140 x (100 - R)/100 = 100
? 100 - R = (100 x 100) / 140
? R = 100 - (100 x 100) / 140
= (40 x 100) / 140
= 28.5 % (approx)
Correct Answer: ? 600
Explanation:
Here, r = 10% and R = 20%
? Required per cent = (r + R)/(100 - r) x 100 %
= [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %
This shows that the marked price of the item is 100/3 % more
than its cost price.
? Marked price of the article = (450 x 400)/300
= ? 600
Correct Answer: 4
Explanation:
? MP of one dozen of pairs of socks = ? 80
? SP of one dozen of pairs of socks
=80 x (100 - 10)/100 = 80 x 90/100= ? 72
Hence, required number of pairs of socks
purchased for ? 24 = (12 x 24)/72 = 4
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