SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 24 Jan 2023 - Shift 2 • Quantitative Aptitude • Q48

A lady professes to sell sugar at 20% profit on the cost price and using a weight which is 30% less than the actual measure. What is her gain percentage?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 7137percent71 \frac{3}{7} percent.

Let CP of 1 kg sugar = Rs. 1

CP of 100 kg sugar = Rs. 100

During selling, profit = 20%

and he uses 30% less weight than the marked weight.

So, SP of 70 kg sugar = Rs 120

SP of 1 kg sugar = Rs. (120/70) = Rs. (12/7)

Profit = (SP - CP)

Profit = Rs. (12/7 - 1)

Profit = Rs. 5/7

Profit% = (Profit/CP) x 100

Profit% = 5/7 × 100 = 500/7 = 7137percent71 \frac{3}{7} percent

The grocer has a profit of 713771 \frac{3}{7}%.