A man sold a sweater at a loss of 10% for ₹900. He also sold a pair of trousers at a profit of 25% for ₹760. Find his net profit (in ₹).

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  1. 52
  2. 57
  3. 67
  4. 47

Answer (Detailed Solution Below)

Option 1 : 52
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Detailed Solution

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Given:

Selling price (SP) of sweater = ₹900 (loss of 10%)

Selling price (SP) of trousers = ₹760 (profit of 25%)

Calculation:

Find Cost Price (CP) of sweater

Loss = 10%, so SP = 90% of CP

⇒ CP = 900 × 100 / 90 = ₹1000

Find Cost Price (CP) of trousers

Profit = 25%, so SP = 125% of CP

⇒ CP = 760 × 100 / 125 = ₹608

Calculate Total CP and Total SP

Total CP = ₹1000 + ₹608 = ₹1608

Total SP = ₹900 + ₹760 = ₹1660

Calculate Net Profit

Net Profit = Total SP - Total CP = ₹1660 - ₹1608 = ₹52

∴ Net profit = ₹52

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