Question:medium

A shopkeeper marks 30% above cost and allows a 15% discount. He also uses a faulty balance: sells “1 kg” but delivers only 800 g. Find his actual profit percentage.

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For false weights, compute SP on the billed quantity but CP on the actual quantity delivered.
Updated On: Nov 25, 2025
  • 38.125%
  • 24.425%
  • 32.124%
  • None of these
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The Correct Option is A

Solution and Explanation

Cost price (CP) per kg = ₹ 100.
Marked price = ₹ 130 (100 * 1.30). Selling price (SP) per kg after 15% discount = ₹ 110.5 (130 * 0.85).
The supplier provides only 0.8 kg, costing him ₹ 80 (0.8 * 100).
Profit = ₹ 30.5 (110.5 - 80).
Profit % = 38.125% (30.5 / 80 * 100). This includes a hidden gain from short-weight ($1/0.8=1.25$, i.e., $25%$ extra).\n\n\n Actual Profit = 38.125%\n\n
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