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Question

A fruit seller sells apples at a loss of 5% on the cost price but uses a weight that is 20% less than the actual weight. Find his total profit percentage.

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is

18.75%

Step 1 — Set up. Let CP per kg = ₹100, so customer thinks they are buying 1 kg for \(100 \times 0.95 = \text{₹}95\) (5% loss on claimed CP).

Step 2 — What he actually gives: only \(0.8\text{ kg}\) (weight 20% less). Actual CP of 0.8 kg = \(0.8 \times 100 = \text{₹}80\).

Step 3 — Real profit:

\(\text{Profit} = 95 - 80 = \text{₹}15\)

\(\text{Profit }\% = \dfrac{15}{80} \times 100 = 18.75\%\)

Hence, the seller actually gains 18.75%.

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Important Questions from Dishonest Dealings

  1. A trader claims to sell pulses at a profit of 3%, but also dishonestly uses a weight which is 15% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
  2. A trader claims to sell vegetables at a profit of 52%, but also dishonestly uses a weight which is 8% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
  3. A trader claims to sell fruits at a profit of 22%, but also dishonestly uses a weight which is 4% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)

  4. A trader claims to sell pulses at a profit of 48%, but also dishonestly uses a weight which is 12% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
  5. A shopkeeper professes to sell his goods at a 20% loss but uses a false balance and gains 40%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:
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