SSC MTS 2024 PYQ — Question 7

SSC MTS - 21/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q7

The ratio of cost price to marked price of a shirt is 3 : 5. If a shopkeeper earned 331333\frac{1}{3}% profit on the sale of this shirt, then the discount given on the marked price was:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 20%.

Let CP = 3x

Then MP = 5x

Profit = 1/3 of CP → SP = CP + (1/3 of CP)

SP = 3x + (1/3 × 3x) = 3x + x = 4x

Discount = MP - SP = 5x - 4x = x

Discount % = (Discount / MP) × 100

⇒ (x / 5x) × 100 = (1/5) × 100 = 20%