Quantitative Aptitude
Profit, Loss and Discount
2,604 Questions
Profit, Loss and Discount Questions
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$11\frac {1}{9}$%
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10%
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20%
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9%
A
Correct answer
Explanation
Profit = 1250 - 1125 = 125. Profit percentage = (Profit / Cost Price) * 100 = (125 / 1125) * 100 = (1 / 9) * 100 = 11 1/9%.
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Rs. $20$
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Rs. $15$
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Rs. $10$
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Rs. $40$
C
Correct answer
Explanation
Profit/Loss = SP - CP. Apples: 200 - 150 = +50. Bananas: 70 - 80 = -10. Oranges: 40 - 60 = -20. Pineapples: 90 - 100 = -10. Total = 50 - 10 - 20 - 10 = 10.
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Rs. $500$
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Rs. $ 450$
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Rs. $550$
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Rs. $600$
A
Correct answer
Explanation
Let CP = x. Loss 12.5% means SP1 = 0.875x. Profit 6% means SP2 = 1.06x. Difference = 1.06x - 0.875x = 0.185x = 92.50. x = 92.50 / 0.185 = 500.
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$33\frac {1}{3}$%
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$30\frac {1}{3}$%
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$63\frac {1}{3}$%
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$3\frac {1}{3}$%
A
Correct answer
Explanation
Cost of 4 articles = Selling price of 3 articles. Let CP of 1 article be 1. CP of 4 = 4. SP of 3 = 4, so SP of 1 = 4/3. Profit = 4/3 - 1 = 1/3. Profit % = (1/3) / 1 * 100 = 33 1/3%.
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$10\%$
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$15\%$
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$20\%$
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$25\%$
A
Correct answer
Explanation
Let original cost be 100. Total profit is 38%, so final SP = 138. Dealer makes 20% profit on his purchase price (CP2). Let CP2 be x. 1.2x = 138. x = 115. The profit made by the second person is 115 - 100 = 15%.
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Rs. $7000$
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Rs. $7350$
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Rs. $9200$
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Rs. $8140$
A
Correct answer
Explanation
Let CP = 100x. SP = 120x. New CP = 90x. New SP = 120x + 105. Gain = 35% of 90x = 31.5x. New SP = 90x + 31.5x = 121.5x. 121.5x = 120x + 105 => 1.5x = 105 => x = 70. CP = 100 * 70 = 7000.
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Rs. $2054$
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Rs. $2050$
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Rs. $2024$
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Rs. $2014$
D
Correct answer
Explanation
A sells to B at 6% profit: 2000 * 1.06 = 2120. B sells to C at 5% loss: 2120 * 0.95 = 2014.
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$44$%
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$44\dfrac {4}{9}$%
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$44\dfrac {2}{3}$%
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$45$%
B
Correct answer
Explanation
Total books = 120. Cost = 120 * 3 = 360. Sales: (1/3)*120 = 40 books at 4 = 160. (1/2)*120 = 60 books at 5 = 300. Remaining = 120 - 40 - 60 = 20 books at 3 = 60. Total Revenue = 160 + 300 + 60 = 520. Profit = 520 - 360 = 160. Profit % = (160 / 360) * 100 = (16/36) * 100 = (4/9) * 100 = 44.44%.
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$12000, 6000$
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$8000, 10000$
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$11000, 7000$
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$13000, 5000$
B
Correct answer
Explanation
Let CP1 = x, CP2 = 18000-x. Profit/Loss = 0.25x - 0.20(18000-x) = 0. 0.25x - 3600 + 0.20x = 0. 0.45x = 3600. x = 8000. CP2 = 10000.
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Rs. $900$
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Rs. $960$
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Rs. $1000$
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Rs. $1060$
C
Correct answer
Explanation
Salman sold the bike for 1500 with no profit or loss, meaning his total cost was 1500. Since he spent 40 on repairs, the purchase price from Sanjay was 1500 - 40 = 1460. Sanjay sold it at 46 percent profit, so 1.46 * Cost = 1460, which gives Cost = 1000.
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Rs. $800$
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Rs. $900$
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Rs. $1000$
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Rs. $1100$
D
Correct answer
Explanation
Cost = 900, Profit = 10% of 900 = 90. Selling Price = 990. Marked Price * (1 - 0.10) = 990. Marked Price * 0.9 = 990. Marked Price = 990 / 0.9 = 1100.
A
Correct answer
Explanation
Let CP = 100. MP = 140. Discount = 25% of 140 = 35. SP = 140 - 35 = 105. Profit = 105 - 100 = 5. Profit percentage = 5%.
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Rs $120$
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Rs $140$
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Rs $160$
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Rs $180$
B
Correct answer
Explanation
The selling price after a 12.5% discount on 200 is 200 * (1 - 0.125) = 175. Since there is a 25% profit, the cost price is 175 / 1.25 = 140.
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Rs. $ 1100$
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Rs. $ 900$
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Rs. $ 1089$
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Rs. $ 891$
B
Correct answer
Explanation
Marked price = 1100. Discount = 10% of 1100 = 110. Selling price = 1100 - 110 = 990. Gain = 10%. Cost price = SP / (1 + gain%) = 990 / 1.1 = 900.