SSC CGL 2024 PYQ — Question 54

SSC CGL - 25 Sep 2024 - Shift 2 • Quantitative Aptitude • Q54

During a new-year sale, a shopkeeper offers a discount scheme to his customers, ‘Buy 5 Sweaters, Get 2 Sweaters Free’. Find the effective percentage discount given by the shopkeeper.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 284728\frac{4}{7}%.

For every 5 sweaters bought, the customer gets 2 additional sweaters free

Thus, the customer is receiving 7 sweaters for the price of 5 sweaters

Let the cost price of 1 sweater be Rs.x

So,

Discount = Total cost − Discounted cost

Discount = 7x - 5x = 2x

Discount% = Discount/Original cost × 100

⇒ 2P/7P × 100

⇒ 200/7 = 284728\frac{4}{7}%