SSC CGL 2023 PYQ — Question 55

SSC CGL - 21 July 2023 - Shift 4 • Quantitative Aptitude • Q55

A shop provides flat 50% discount on one shirt, while another shop provides two successive discounts of 30% and 30%. If the difference in the bill is ₹43, then find the cost of the shirt.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. ₹4,300.

Let the cost price be x 

When a discount of 50% is given, S.P = 50100x\frac{50}{100}x

When 2 successive discounts of 30% are given, net discount = - 30 - 30 + 900100\frac{900}{100} = - 51%

Hence, S.P when 2 successive discounts are given = 49100x\frac{49}{100}x

According to the question

The difference in the bill = Rs. 43

⇒ 50100x\frac{50}{100}x - 49100x\frac{49}{100}x = 43

⇒ x = Rs. 4,300