SSC MTS 2024 PYQ — Question 18

SSC MTS - 22/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q18

In a scheme, a shopkeeper offers 4% discount if you buy three or more products. Ritu buys three bottles of guava juice for ₹330. If the shopkeeper still makes a profit of 10%, find the profit he would make if had sold it without discount (rounded off to 2 decimal places).

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 14.58%.

Ritu buys 3 bottles for ₹330 after a 4% discount.

So, ₹330 is 96% of the original price (since 100% - 4% = 96%).

Let the original price (before discount) = x

Then,

96% of x = 330 ⇒ 0.96 × x = 330 ⇒ x = 330 / 0.96 = ₹343.75

So, the original price (without discount) is ₹343.75.

Selling Price (SP) = CP + 10% of CP = 1.10 × CP

So,

1.10 ×  CP = 330 ⇒ CP = 330 / 1.10 = ₹300

So, the cost price of 3 bottles is ₹300.

If no discount was given, the selling price would be ₹343.75

So, profit = 343.75 - 300 = ₹43.75

Profit % = (Profit / Cost Price) × 100 = (43.75 / 300) × 100 = 14.58%