SSC MTS 2024 PYQ — Question 3

SSC MTS - 29/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q3

An item was sold for ₹40 with a profit of 15%. If it were sold for ₹36, then what would have been the percentage of profit or loss? (rounded off to 1 decimal places).

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e Profit 3.5%.

Let cost price be x

Selling price = ₹40 and Profit = 15%

So,

⇒ 40 = x + 15% of x ⇒ 40 = x + 0.15x = 1.15x ⇒ x = 40 ÷ 1.15 = ₹34.78 (approx)

If sold for ₹36

Profit/Loss = 36 - 34.78 = ₹1.22 profit
Profit percentage = (1.22 ÷ 34.78) × 100 = 3.5% profit