This set of Aptitude Questions and Answers (MCQs) focuses on “Profit and Loss – Set 3”.
1. The profit on selling 10 articles is equal to the cost price of 3 articles. Find the profit percentage.
a) 25%
b) 30%
c) 35%
d) 50%
View Answer
Explanation: Let the cost price of the article be x.
The cost price of 3 articles = 3x
The profit on selling 10 articles = cost price of 3 articles = 3x
The cost price of 10 articles = 10x
Profit percentage = 3x / 10x * 100 = 30%
2. The price of a pair of slippers is decreased by 10% and the selling price is constant. If the initial profit percentage was equal to 25%, find the new profit percentage.
a) 35%
b) 38.8%
c) 40%
d) 42%
View Answer
Explanation: Let the cost price be x.
The initial profit percentage = 25%
The initial profit = 25% of x = 0.25x
The selling price = x + 0.25x = 1.25x
The new cost price = x – 10% of x = 0.9x
The new profit = 1.25x – 0.9x = 0.35x
The new profit percentage = 0.35x / 0.9x * 100 = 38.8% profit
3. If the profit is increased to 500 rupees the profit percentage is increased by 10% find the initial profit.
a) 400 rupees
b) 450 rupees
c) 500 rupees
d) 600 rupees
View Answer
Explanation: The initial profit = 500 – 10% of 500 (here the profit is increases to 500 not by 500.)
The initial profit = 500 – 50 = 450 rupees
4. The cost price of an article is doubled, and the selling price is made half. If the initial profit percentage was 500%, find the profit percentage now.
a) 25%
b) 50%
c) 100%
d) 250%
View Answer
Explanation: Let the initial cost price be x.
The initial profit = 500% = 5x
The initial selling price = x + 5x = 6x
The new cost price = x * 2 = 2x
The new selling price = 6x / 2 = 3x
The new profit = 3x – 2x = x
The new profit percentage = x / 2x * 100 = 50%
5. The cost price of an article is 80% of its selling price, find the profit percentage.
a) 25%
b) 50%
c) 20%
d) 33.33%
View Answer
Explanation: Let the cost price be x.
The cost price is 80% of the selling price.
X is 80% of the selling price.
Selling price = x / 80 * 100 = 1.25x
Profit = 1.25x – x = 0.25x
The profit percentage = 0.25x / x * 100 = 25%
6. The profit on selling 10 articles is equal to selling price of 1 article. Find the profit percentage.
a) 9.09%
b) 10%
c) 11.11%
d) 12.5%
View Answer
Explanation: Let the selling price be x.
The profit on selling 10 articles = x
The cost of 10 articles = 10x – x = 9x
The profit percentage = x / 9x * 100 = 11.11%
7. The selling price of an article is 1200 rupees. If the profit percentage is 20%, find the profit.
a) 100 rupees
b) 200 rupees
c) 300 rupees
d) 500 rupees
View Answer
Explanation: Let the cost price be x.
The profit percentage = 20%
The profit = 20% of x = 0.2x
The selling price = x + 0.2x = 1.2x
1.2x = 1200
X = 1000
Profit = 1200 – 1000 = 200
8. The profit on selling 15 articles is equal to the cost price of 2 articles. Find the profit percentage.
a) 11.11%
b) 12.22%
c) 13.33%
d) 14.44%
View Answer
Explanation: Let the cost price of an article be x.
The profit on selling 15 articles = x * 2 = 2x
The cost price of 15 articles = 15x
Profit percentage = 2x / 15x * 100 = 13.33%
9. The selling price of 17 articles is equal to the cost price of 21 articles. Find the profit or loss percentage.
a) 19% loss
b) 19% profit
c) 23.5% loss
d) 23.5% profit
View Answer
Explanation: Let the cost price of 17 articles be (17 * 21) = 357 units
The selling price of 21 articles = the cost price of 17 articles = 357 units
The cost price of 1 article = 357 / 17 = 21 units
The selling price of 1 article = 257 / 21 = 17 units
Loss per article = 21 – 17 = 4 units
Loss percentage = 4 / 21 * 100 = 19.04% loss ≈ 19% loss
10. The cost of 12 articles is equal to the selling price of 15 articles. Find the profit or loss percentage.
a) 20% loss
b) 20% profit
c) 25% loss
d) 25% profit
View Answer
Explanation: Let the cost price pe x.
The cost price of 15 articles = 15x
The selling price of 15 articles = cost of 12 articles = 12x
The loss = 15x – 12x = 3x
The loss percentage = 3x / 15x * 100 = 20% loss
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