A man sells rice at 10% profit and uses a weight that is 20% less than the actual measure. His gain percentage is:

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 13 Feb 2023 Shift 2)

Answer 1

Given:

Profit on selling = 10%

Less weight used = 20%

Concept:

Overall profit percentage can be calculated by summing up the individual profit percentages and their product.

Solution:

Let the CP of 100 kg rice be Rs. 100

SP of 1 kg = 100 × 110/100 = Rs. 110

Use 20% less weight i.e sold (100 - 20) = 80 kg

Shopkeeper sold 80 kg instead of 100 kg.

CP of 80 kg = Rs. 80

SP of 80 kg = Rs. 110

Profit = 110 - 80 = 30

Profit % = 30/80 × 100 = \(37\frac{1}{2}\% \)

Therefore, the gain percentage is \(37\frac{1}{2}\% \).