Quantitative Aptitude
Profit, Loss and Discount
2,604 Questions
Profit, Loss and Discount Questions
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$2\%$ gain
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$2\%$ loss
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$1\%$ gain
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$1\%$ loss
D
Correct answer
Explanation
Cost price of 1 lollipop is 1/11 + 1/9 = 20/99. Selling price of 2 lollipops is 2/10 = 1/5. Gain/loss = (1/5 - 20/99) / (20/99) = (99 - 100) / 100 = -1/100. This represents a 1% loss.
C
Correct answer
Explanation
Total cost = 3 * 2500 = 7500. Total selling price = 3 * 2575 = 7725. Profit = 225. Profit on first = 0.08 * 2500 = 200. Loss on second = 0.03 * 2500 = 75. Net profit so far = 125. Profit needed on third = 225 - 125 = 100. Profit percent = (100 / 2500) * 100 = 4%.
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Rs $5$
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Rs $2$
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Rs $3$
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Rs $2.50$
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$Rs \ 150$
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$Rs \ 90$
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$Rs \ 75$
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$Rs \ 100$
B
Correct answer
Explanation
Let the cost of the cheaper clock be x. The cost of the costlier clock is 1.25x. Total cost = 2.25x. Selling prices: 1.10 * 1.25x + 1.075 * x = 1.375x + 1.075x = 2.45x. Given 2.45x = 98, so x = 40. Total cost = 2.25 * 40 = 90.
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Rs $910.80$
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Rs $900.50$
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Rs $910.50$
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Rs $980.50$
A
Correct answer
Explanation
List price = 1000. After 10% and 20% discounts: 1000 * 0.9 * 0.8 = 720. Expenses = 10% of 720 = 72. Total cost = 720 + 72 = 792. To get 15% profit, sell at 792 * 1.15 = 910.80.
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Rs. $50$
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Rs. $75$
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Rs. $80$
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Rs. $100$
C
Correct answer
Explanation
Let CP = x. Initial SP = 1.25x. New CP = 0.75x. New SP = 1.25x - 25. Profit = 25%, so 1.25x - 25 = 1.25 * (0.75x). 1.25x - 25 = 0.9375x. 0.3125x = 25. x = 25 / 0.3125 = 80.
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Rs 350
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Rs 720
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Rs 360
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Rs 460
C
Correct answer
Explanation
Let CP = x. MP = 1.25x. Cash sales (3/4 of 40 = 30) at 10% discount: SP = 30 * (1.25x * 0.9) = 33.75x. Credit sales (10) at 5% discount: SP = 10 * (1.25x * 0.95) = 11.875x. Total SP = 45.625x. Total CP = 40x. Profit = 5.625x = 2025. x = 2025 / 5.625 = 360.
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25%
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20%
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15%
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None of the above
A
Correct answer
Explanation
The shopkeeper uses 800g instead of 1000g. The gain is 200g on a cost of 800g. Gain percent = (200 / 800) * 100 = 25%.
C
Correct answer
Explanation
1600 * 0.9 = 1440. 1440 * (1 - x) = 1224. 1 - x = 1224 / 1440 = 0.85. x = 0.15 or 15%.
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Rs. 40
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Rs. 50
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Rs. 60
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Rs. 75
B
Correct answer
Explanation
Let CP = x. Gain % = x%. Selling Price = CP + Gain = x + (x/100)*x = 75. x^2 + 100x - 7500 = 0. (x + 150)(x - 50) = 0. Since CP > 0, x = 50.
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Rs.$6000$
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Rs.$6400$
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Rs.$7200$
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Rs.$7000$
B
Correct answer
Explanation
Let CP be the cost price. Profit = 20% of CP = 0.2 * CP = 800. So CP = 4000. Selling price SP = 1.2 * CP = 4800. SP is also 75% of Marked Price (MP) because of 25% discount. 0.75 * MP = 4800. MP = 4800 / 0.75 = 6400.
B
Correct answer
Explanation
Let CP = 100. Marked Price = 140. Cash sales (3/5): 10% discount, SP = 0.9 * 140 = 126. Credit sales (2/5): 5% discount, SP = 0.95 * 140 = 133. Weighted average SP = (3/5)*126 + (2/5)*133 = 75.6 + 53.2 = 128.8. Profit = 28.8%.
C
Correct answer
Explanation
Let MP = 100. Selling price = 80. Loss = 10%, so CP * 0.9 = 80, CP = 800/9 = 88.89. If sold at MP = 100, Profit = 100 - 88.89 = 11.11. Profit % = (11.11 / 88.89) * 100 = 12.5%.
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$\displaystyle 4\frac{1}{3}\%$
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$5\%$
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$\displaystyle 6\frac{2}{3}\%$
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$8\%$
C
Correct answer
Explanation
Let MP = 100. 10% discount means SP = 90. Profit 20% means CP = 90/1.2 = 75. If 20% discount, SP = 80. Profit = 80 - 75 = 5. Profit % = (5/75) * 100 = 6.66%.
B
Correct answer
Explanation
If selling at 300 gives 20% profit, the cost price is 300/1.2 = 250. The marked price is not explicitly given, but assuming the 300 was the original selling price (and assuming no discount initially), the marked price is 300. A 10% discount on 300 makes the new selling price 270. The gain is 270 - 250 = 20, and the gain percent is (20/250)*100 = 8%.