Quantitative Aptitude
Profit, Loss and Discount
2,604 Questions
Profit, Loss and Discount Questions
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Rs. $25$
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Rs. $50$
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Rs. $60$
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Rs. $70$
B
Correct answer
Explanation
Let CP be x. SP = 1.25x. New CP = 0.75x. New SP = 1.25x - 10. Profit = 40% => 1.25x - 10 = 1.4 * 0.75x. 1.25x - 10 = 1.05x. 0.2x = 10. x = 50.
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Rs. $720$
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Rs. $680$
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Rs. $880$
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Rs. $800$
D
Correct answer
Explanation
C's cost = 1012. B's profit = 10%. B's cost (A's selling price) = 1012 / 1.1 = 920. A's profit = 15%. A's cost = 920 / 1.15 = 800.
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Rs. $2625$
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Rs. $2575$
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Rs. $2500$
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Rs. $2400$
D
Correct answer
Explanation
Retail price = 3240, gain = 20%. Cost for retail = 3240 / 1.2 = 2700. This is the selling price for the wholesale dealer at 12.5% profit. Wholesale cost = 2700 / 1.125 = 2400.
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Rs. $40$
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Rs. $45$
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Rs. $50$
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Rs. $35$
A
Correct answer
Explanation
Let CP be x. Loss of 10% means SP = 0.9x. Gain of 12.5% (1/8) means SP = 1.125x. The difference is 0.225x = 9. x = 9 / 0.225 = 40.
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$\displaystyle 16\frac{2}{3}$ $\%$
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$\displaystyle 18\frac{2}{9}$ $\%$
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$25\%$
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$\displaystyle 26\frac{2}{3}$ $\%$
A
Correct answer
Explanation
Selling price of each is 5000. Total SP = 10000. No gain/loss means Total CP = 10000. CP1 = 5000 / 1.25 = 4000. CP2 = 10000 - 4000 = 6000. Loss on second = 6000 - 5000 = 1000. Loss% = (1000/6000) * 100 = 16 2/3%.
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$10000, 20000$
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$15000, 15000$
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$17500, 12500$
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$16000, 14000$
C
Correct answer
Explanation
Let CP1 = x, CP2 = 30000-x. SP1 = 0.85x, SP2 = 1.19(30000-x). 0.85x = 1.19(30000-x). 0.85x = 35700 - 1.19x. 2.04x = 35700. x = 17500. CP1 = 17500, CP2 = 12500.
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a weight of $875$ gm
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a weight of $900$ gm
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a weight of $950$ gm
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a weight of $850$ gm
B
Correct answer
Explanation
Gain = 11 1/9% = 100/9%. Gain = (True weight - False weight) / False weight * 100. 100/9 = (1000 - x) / x * 100 => 1/9 = (1000 - x) / x => x = 9000 - 9x => 10x = 9000 => x = 900 gm.
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$30\%$
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$35\%$
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$\displaystyle 37\frac{1}{2}$ $\%$
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$32\%$
C
Correct answer
Explanation
Let cost of 100g be 100. Selling price for 80g is 110. Gain = (110-80)/80 = 30/80 = 37.5%.
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$\displaystyle 17\frac{1}{2}$%
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$\displaystyle 33\frac{1}{3}$%
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$\displaystyle 22\frac{1}{2}$%
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$20\%$
D
Correct answer
Explanation
Let the total goods be 1 unit. 1/4 sold at 10% loss (-0.1 * 1/4 = -0.025). Remaining 3/4 sold at x% profit. Total profit required = 12.5% (0.125). Equation: -0.025 + 0.75x = 0.125. 0.75x = 0.15. x = 0.15 / 0.75 = 0.2 = 20%.
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Rs. $2100$
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Rs. $2300$
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Rs. $2350$
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Rs. $2250$
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Rs. $50$
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Rs. $60$
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Rs. $80$
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Rs. $90$
C
Correct answer
Explanation
Let CP be x. Total CP = 90x. Profit 1 = 0.1 * 40x + 0.2 * 50x = 4x + 10x = 14x. Profit 2 = 0.15 * 90x = 13.5x. Difference = 14x - 13.5x = 0.5x. Given 0.5x = 40, so x = 80.
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Rs $1400$
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Rs $600$
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Rs $1100$
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Rs $1200$
A
Correct answer
Explanation
Let the cost price of the table be x. Then 0.20x + 0.30(2000 - x) = 0.23 * 2000. Solving this gives 0.20x + 600 - 0.30x = 460, so 0.10x = 140, which means x = 1400.
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Rs $525$
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Rs $550$
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Rs $600$
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Rs $650$
B
Correct answer
Explanation
Let CP be x. Loss at 500 is x - 500. Gain at 700 is 700 - x. Given 700 - x = 3(x - 500). 700 - x = 3x - 1500. 2200 = 4x, so x = 550.
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Rs. $18$
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Rs. $10$
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Rs. $12$
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Rs. $14$
C
Correct answer
Explanation
The total cost of 16 dozen pens is Rs. 240, so the cost per dozen is Rs. 15. If the loss equals the selling price of 4 dozen, then 16 dozen cost equals the selling price of 20 dozen, giving a selling price of Rs. 12 per dozen.