SSC GD 2025 PYQ — Question 49

SSC GD Const 2025 (English) - 07 Feb 2025 - Shift 2 • Quantitative Aptitude • Q49

A salesman offers a discount scheme of 'Buy 25 and get 5 free' on the purchase of notebooks in his shop. He professes that a notebook costs him ₹10, but in reality, it costs him ₹5. Find the difference between his profit percentage and scheme discount.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 50%.

Cost price per notebook = ₹5

Claims cost price = ₹10

Buys 30 notebooks, pays for 25 × ₹10 = ₹250

Actual cost = 30 × ₹5 = ₹150

Profit = 250 − 150 = ₹100

Profit % = (100 / 150) × 100 = 66.67%

Discount % = [(30 × 10) − 250] / (30 × 10) × 100 = (300 − 250) / 300 × 100 = 16.67%

Difference = 66.67% − 16.67% = 50%