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- Question
- A trader allows a discount of 10% on the marked price of an article. How much percentage above the cost price the article be marked to make a profit of 17%?
Options- A. 25%
- B. 30%
- C. 28%
- D. 24%
- Correct Answer
- 30%
ExplanationLet the CP be ? 100 and let MP be ? x above ? 100.
Then, MP = ? (100 + x) and discount =10%
? SP = [(90/100) x (100 + x)] = ? 177
? x = 30
So, cost should be labelled at 30% above CP. - 1. A shopkeeper marks his goods at such a price that he can deduct 20% for cash and yet make 20% profit. The marked price of an item which cost him ? 180 is?
Options- A. ? 270
- B. ? 240
- C. ? 245
- D. ? 260 Discuss
- 2. A trader fixed the price of an article in such a way that by giving a rebate of 10% on the price fixed, he made a profit of 15% . If the cost of the article is ? 72. The fixed price on it, is?
Options- A. ? 82.80
- B. ? 90.00
- C. ? 92.00
- D. ? 97.80 Discuss
- 3. A shopkeeper sold an article for ? 6750 after giving a discount of 10% on the labelled price. He would have earned a profit of 50%, had there been no discount. What was the actual percentage of profit earned?
Options- A. 36%
- B. 40%
- C. 35%
- D. None of these Discuss
- 4. Mr X bought a music system with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved ? 500. At what price did he buy the music system?
Options- A. ? 16000
- B. ? 12000
- C. ? 10000
- D. None of these Discuss
- 5. A showroom owner sells a leather jacket for ? P and claims to make a profit of 10%. He plans to have stall in the trade fair and marks the same jacket at ? 2P, at the stall, he allows a discount of 20%. What will be the percentage profit that he will make at the trade fair?
Options- A. 80%
- B. 60%
- C. 76%
- D. None of these Discuss
- 6. Ravi purchased a scooter at 11/13th of its marked price and sold it at 10% more than its marked price. His gain per cent is?
Options- A. 24%
- B. 27%
- C. 30%
- D. 32% Discuss
- 7. A dealer buys an article marked at ? 40000 with 20% and 10% off. He spends ? 1200 on its repairs and sells it for ? 30000. What is his gain or loss per cent?
Options- A. 10% gain
- B. 10% loss
- C. No gain no loss
- D. None of these Discuss
- 8. A dishonest dealer professes to sell his goods at cost price. But he uses a false weight of 900 g per 1 kg weight. Find his gain percent?
Options- A. 111/9%
- B. 103/9%
- C. 11%
- D. 10% Discuss
- 9. A shopkeeper sells wheat at a profit of 10% and uses weight which are 20% less than the actual weight. The total gain earned by him will be?
Options- A. 30%
- B. 88%
- C. 37.5%
- D. None of these Discuss
- 10. What is the percentage profit made by selling an umbrella at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10%?
Options- A. 25%
- B. 30%
- C. 35%
- D. None of these Discuss
Profit and Loss problems
Search Results
Correct Answer: ? 270
Explanation:
CP = ? 180, gain = 20%
? SP = (120/100) x 180 = ? 216
Let the MP be ? P.
Then, 80% of P = 216
? (80/100) x P = 216
? P = (216 x 100)/80 = 270
Thus, MP is ? 270.
Correct Answer: ? 92.00
Explanation:
Let the fixed price of article = ?P
Then, Selling price = 90% of P = (90 x P)/100 = ? 9P/10
Also, the selling price = 115% of 72 = ?(115 x 72)/100
? (115 x 72)/100 = 9P/10
? P = ? 92
Correct Answer: 35%
Explanation:
Market price = ? P
and SP = P -10% of P = 9P/10
? 9P/10 = 6750
? P = 7500
If SP = ? Rs.7500, then the CP would have been Rs.5000 due to 50% profit earned by the Shopkeeper.
? Actual percentage of profit by selling the article for ? 6750
= [(SP - CP)/CP] x 100 = [(6750 - 5000)/5000] x 100
= (1750/5000) x 100
= 35%
Correct Answer: None of these
Explanation:
Let the actual price of music system = ? P
The cost of music system to Mr. P after 20% discount= (80/100) x P = 4P/5
Cost of music system to Mr P after 25% discount = (75/100) x P = 3P/4
Then according to the question,
4P/5 - 3P/4 = 500
? (16P - 15P)/20 = 500
? P = 20 x 500 = 10000
? Cost of music system at 20% discount = (80 x 10000)/100 = ?8000
Correct Answer: 76%
Explanation:
SP at the stall at the trade fair = 2P - 20% of 2P = 8P/5
CP of the jacket = (P x 100)/(100 + 10) = 10P/11
? profit = 8P/5 - 10/11 = 38P/55
? Profit per cent made at the trade fair = [(38P/55) / (10P/11)]x 100
= (38/5) x (1/10) x 100
= 76%
Correct Answer: 30%
Explanation:
Let the MP of a scooter = ? P
? CP of a scooter= ? 11P/13, Gain = 10%
SP = (110/100) x P= ? 11P/10
Gain = SP - CP = (11P/10 - 11P/13) = (143P - 110P)/130 = ? 33P/130
Gain percentage = (33P/130) x (13/11P) x 100 % = 30%
Correct Answer: No gain no loss
Explanation:
CP. = (80% of 90% of ?40000) + ?(1200)
= [(80/100) x (90/100) x 40000] + 1200
= (28800 + 1200)
= ?30000
? CP = ?30000
So, no gain no loss in the transaction.
Correct Answer: 111/9%
Explanation:
Gain percentage = [Error/(True value - Error)] x 100 %
= [(100/(1000 - 100)] x 100 %
= (100/900) x 100 %
= 111/9%
Correct Answer: 37.5%
Explanation:
Let the actual price of per kg of wheat = ? . 100
Then, selling price = 110% of 100 = ? 110
Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
= (80 x 100)/100
= ? 80
Hence, required profit gained by shopkeeper = [(110 - 80)/80] x 100
= (30/80) x 100
= 37.5%
Correct Answer: 35%
Explanation:
Let the selling price for the umbrella is P.
Cost price for the umbrella is Q.
Now from question
Q - 2P/3 = 10% of Q.
? P = (3/2)(Q - 10% of Q)
? P = (3/2) x (90/100) x Q
? P = 1.35 x Q.
So % profit = [(1.35 x Q - Q)/Q]x100 % = 35 % profit.
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