SSC MTS 2024 PYQ — Question 11

SSC MTS - 16/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q11

The difference between discounts on a bill for ₹22,500 under two schemes, a discount of 40% and two successive discounts of 36% and 4%, is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e ₹324. 

Bill amount = ₹22,500

Scheme 1: Single discount of 40%

→ Discount = 40% of 22,500 = ₹9,000

→ Final price = 22,500 - 9,000 = ₹13,500

Scheme 2: Successive discounts of 36% and 4%

→ After 36% discount: 22,500 × (100 - 36)% = 22,500 × 64% = ₹14,400

→ After 4% discount: 14,400 × (100 - 4)% = 14,400 × 96% = ₹13,824

→ Total discount = 22,500 - 13,824 = ₹8,676

Difference in discounts = 9,000 - 8,676 = ₹324