What is the single discount equivalent to the successive discounts of 20%, 35%, and 10%?
This questions was previously asked in
SSC CGL Tier II Paper 1 (26.10.2023)
Explanation:
To find the single discount equivalent to successive discounts, multiply the complements of the discounts and subtract from 1:
- Start with 100%:
- First, apply the 20% discount:
- 100% - 20% = 80% (or 0.8 in decimal form)
- Second, apply the 35% discount:
- 80% of 100% becomes 65%: \(0.8 \times (1 - 0.35) = 0.8 \times 0.65 = 0.52\)
- Finally, apply the 10% discount:
- 52% becomes 90% of it: \(0.52 \times (1 - 0.1) = 0.52 \times 0.9 = 0.468\)
- The combined effect is a single discount equivalent to 1 - 0.468 = 0.532, or 53.2%
- Therefore, Option 1: 53.2% is the correct answer.
By: Parvesh Mehta ProfileResourcesReport error