Profit and Loss
- A sold an article to B at a profit of 10% and B sells it to C at a loss of 10% of C paid 2079. How much money was paid by A ?
-
View Hint View Answer Discuss in Forum
Amount paid by B = ₹110
Amount paid by C = 110 x 90/100 = ₹ 99Correct Option: A
Amount paid by B = ₹110
Amount paid by C = 110 x 90/100 = ₹ 99
Then, If C paid ₹ 99 then, A paid ₹ 100.
If C paid ₹ 2079, then A paid = 2079 x (100/99) = ₹ 2100
- 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 ?
-
View Hint View Answer Discuss in Forum
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/55Correct Option: C
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%
- 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 ?
-
View Hint View Answer Discuss in Forum
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 = 500Correct Option: D
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
- 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 ?
-
View Hint View Answer Discuss in Forum
Market price = ₹ P
and SP = P -10% of P = 9P/10
∴ 9P/10 = 6750
⇒ P = 7500Correct Option: C
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%
- 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 ?
-
View Hint View Answer Discuss in Forum
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/10Correct Option: C
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
