A dishonest dealer sells a product at 11% loss on cost price, but uses 22% less weight. What is his percentage profit or loss?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)

Answer 1

Given:

A dishonest dealer sells a product at an 11% loss on cost price but uses 22% less weight.

Concept used:

1. Selling Price = Cost Price × (1 - Loss%)

2. Profit% = \({(Selling\ Price\ -\ Cost\ Price) \over Cost\ Price} \times 100\%\)

Calculation:

Let the cost price of the product be Rs. 1/gm.

Cost price of 1000gm = Rs. 1000

Selling price of 1000gm = 1000 × (1 - 11%) = Rs. 890

Since he's using 22% less weight, the selling price of the net quantity sold

⇒ 1000 × (1 - 22%) × 1 = Rs. 780

Now, profit% = \(\frac {890 - 780}{780} \times 100\%\) ≈ 14.10%

∴ His percentage gain is 14.10%.

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