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Profit & Loss

8 questions · EasyMediumHard

Profit or loss is the difference between selling price (SP) and cost price (CP). Profit and loss percentages are always measured on the cost price.

💡 Quick tricks

  1. Profit % = (SP − CP) ÷ CP × 100.
  2. SP after a gain of g% = CP × (100 + g) ÷ 100, so CP = SP × 100 ÷ (100 + g).
  3. If something is sold for the same price at a gain of x% and a loss of x%, there is always an overall loss of x²/100 %.
8 questions

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  1. Q1Easy

    A cricket bat bought for ₹1,290 is sold for ₹1,170. Find the loss.

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    Answer: C. ₹120

    💡 Loss = ₹1,290 − ₹1,170 = ₹120.

  2. Q2Easy

    A mixer grinder bought for ₹1,810 is sold for ₹1,960. Find the profit.

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    Answer: C. ₹150

    💡 Profit = ₹1,960 − ₹1,810 = ₹150.

  3. Q3Easy

    Tanvi buys a cricket bat for ₹470 and sells it for ₹760. Find the profit.

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    Answer: C. ₹290

    💡 Profit = ₹760 − ₹470 = ₹290.

  4. Q4Medium

    Cost price ₹520, selling price ₹416. Find the loss %.

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    Answer: D. 20%

    💡 Loss = ₹104. Loss % = 104 × 100 ÷ 520 = 20%.

  1. Q5Medium

    Cost price ₹680, selling price ₹952. Find the profit %.

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    Answer: B. 40%

    💡 Profit = ₹272. Profit % = 272 × 100 ÷ 680 = 40%.

  2. Q6Medium

    Cost price ₹1,160, selling price ₹928. Find the loss %.

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    Answer: A. 20%

    💡 Loss = ₹232. Loss % = 232 × 100 ÷ 1,160 = 20%.

  3. Q7Hard

    Sold at a 5% loss. Selling for ₹300 more would give a 5% gain. Find the cost price.

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    Answer: D. ₹3,000

    💡 The ₹300 difference is 5% + 5% = 10% of the cost, so CP = 300 × 100 ÷ 10 = ₹3,000.

  4. Q8Hard

    Selling a table lamp for ₹840 gives a 5% gain. Find its cost price.

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    Answer: C. ₹800

    💡 SP = CP × (100 + 5) ÷ 100, so CP = 840 × 100 ÷ 105 = ₹800.

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