A dishonest dealer claims that he is selling potatoes at Rs. 23 /kg, whereas his cost price is Rs. 25 /kg. On closer inspection, the officer of the concerned authority found that the dealer is actually using 800 g weight instead of 1 kg weight. Does the dealer make a profit or a loss? If so, how much?

Correct option is D

Given:

A dishonest dealer claims that he is selling potatoes at Rs. 23 /kg, whereas his cost price is Rs. 25 /kg.

On closer inspection, the officer of the concerned authority found that the dealer is actually using 800 g weight instead of 1 kg weight.

Concept Used:
Dealer gives only 800 g but charges for 1 kg.

Formula Used:

Profit = Selling price - Cost price

Solution:

The dealer's cost price is Rs. 25 per kg. Thus, for 800 g the cost is:

Cost Price for 800 g = $$25 \times \frac{800}{1000} = 25 \times 0.8$$​ = Rs 20.

The dealer sells 800 g of potatoes as if it were 1 kg for Rs. 23.

Profit = 23 - 20 = 3

​$$\text{Profit \%} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100$$​​

Profit % = $$\left(\frac{3}{20}\right) \times 100$$​

Profit % = 15%.

So, The dealer makes a Profit of 15%.

Thus, the correct answer is (d).