A dishonest fruit-seller sells fruits at a 20% profit but uses a 950 gm weight instead of 1 kg. What is his actual profit percentage?

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Accepted Answer

Let the cost price (CP) of 1 kg fruit be Rs. 100 (for easy calculation).

He sells at 20% profit, so his selling price (SP) for 1 kg (as per his claim) = 100 + 20% of 100 = Rs. 120.

But he uses only 950 gm instead of 1 kg. So, for every 950 gm, he charges Rs. 120.

Actual cost of 950 gm = (950/1000) × 100 = Rs. 95.

Profit = SP - Actual CP = 120 - 95 = Rs. 25.

Profit % = (Profit / Actual CP) × 100 = (25 / 95) × 100 = 2500 / 95 = 500 / 19 % ≈ 26.32%.

But this is not matching the options. Let's check the calculation step-by-step:

Let CP of 1 kg = Rs. x.
SP of 1 kg (as per claim) = x + 20% of x = 1.2x.
But for every 950 gm, he charges 1.2x.

Actual CP of 950 gm = (950/1000) × x = 0.95x.
Profit = SP - Actual CP = 1.2x - 0.95x = 0.25x.
Profit % = (0.25x / 0.95x) × 100 = (0.25 / 0.95) × 100 = (25 / 95) × 100 = 500 / 19 %.

So, the correct answer is 500/19 %.

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