Find the single discount to a series 25%,15% and 10% (Correct to two decimals)

Correct option is B

Given:

Series of discounts: 25%, 15%, and 10%

Concept:

To find the single equivalent discount when multiple discounts are applied successively.

Formula used:

Total discount = 1 - (1-d₁/100) × (1-d₂​/100)........

Solution:

Total discount = 1 - (1-d₁/100) × (1-d₂​/100) × (1-d₃/100)

=> 1 - (1 - 25/100) × (1 - 15​/100) × (1 - 10/100)

=> 1 - 3/4 × 17/20 × 9/10

=> 1 - 0.57375 = 0.42625

∴  the single equivalent discount is 42.63%