Question types

Profit and Loss question types

72 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

72
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8
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5
Question types
Sample Questions

Profit and Loss questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Mark $(\checkmark)$ against the correct answer in the following: On selling a jug for $Rs. 144,$ a man loses $\frac{1}{2}$ of his outlay. If it is sold for $Rs. 189,$ what is the gain percent:
  • $12.5\%$
  • B
    $25\%$
  • C
    $30\%$
  • D
    $50\%$

Answer: A.

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Mark $(\checkmark)$ against the correct answer in the following: A man buys a book for $Rs. 80$ and sells it for $Rs. 100.$ His gain per cent is:
  • A
    $20\%$
  • $25\%$
  • C
    $120\%$
  • D
    $125\%$

Answer: B.

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Mark $(\checkmark)$ against the correct answer in the following: A vendor bought lemons at $6$ for a rupee and sold them at $4$ for ampee. His gain$\%$ is:
  • $50\%$
  • B
    $40\%$
  • C
    $33\frac{1}{3}\%$
  • D
    $16\frac{1}{3}\%$

Answer: A.

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Mark $(\checkmark)$ against the correct answer in the following: On selling a stool for $Rs. 630,$ a man loses $10\%.$ The cost price of the chair is:
  • A
    $Rs. 567$
  • B
    $Rs. 693$
  • $Rs. 700$
  • D
    $Rs. 730$

Answer: C.

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Mark $(\checkmark)$ against the correct answer in the following: On selling a pen for $Rs. 48,$ a shopkeeper loses $20\%.$ In order to gain $20\%$ what would be the selling price$?$
  • A
    $Rs. 52$
  • B
    $Rs. 56$
  • C
    $Rs. 68$
  • $Rs. 72$

Answer: D.

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Assertion (A): By selling a chair for $₹ 450$, the trader loses $25 \%$. His loss was ₹ 150 .
Reason (R): In order to gain $20 \%$ on the same chair he should have sold it for ₹ 750 .
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Assertion (A): A book was bought for ₹ 500 and sold for ₹ 600 . There was a gain of $20 \%$.
Reason (R): If the same book bought for ₹ 500 was sold for ₹ 400 then there was a loss of $20 \%$
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: B.

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Assertion (A): Gain is always reckoned on CP.
Reason (R): Loss is always reckoned on SP.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Assertion (A): If an article is sold at a lesser price compared to the purchase price then there is a loss.
Reason ( R ): Loss $= CP - SP$.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Mr Mehta purchased a video for $Rs. 20000$ and a television for $Rs. 30000.$ On the video he lost $5\%$ and on the television he gained $8\%$. Find his total gain or loss percent.
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Sunder is a fruit seller. Today he bought plums to sell. He purchased them at the rate of 9 for 100 from the wholesale market.
Q.1. How many plums should he sell for ₹40 if he wishes to gain 20%?
(a) 3$\quad$ (b) 4$\quad$(c) 5$\quad$(d) 8
Q.2.  He found that another fruit seller Kishan was selling plums at the rate of 6 for ₹90. Find the gain per cent of Kishan. (Assume that the wholesale rate is the same for all fruit sellers.
(a) 15%$\quad$(b) 20%$\quad$(c) 25%$\quad$(d) 35%
Q.3. Sunder decided to sell his plums at the rate of 7 for₹ 100. Find his gain per cent.
(a) $15 \frac{5}{9} \%$$\quad$(b) $17 \frac{7}{9} \%$$\quad$(c) $21 \frac{1}{9} \%$$\quad$(d) $22 \frac{2}{9} \%$
Q.4. In a box of 180 plums, he found that 28 were rotten and he had to throw them away. He sold the remaining plums at the rate of 8 for 100. Find his gain or loss per cent on this box.
(a) 2% gain$\quad$(b) 5% gain$\quad$(c) 2% loss$\quad$(d) 5% loss
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