The successive discounts of 10%, 20% and 30% on an article is equivalent to the discount of

Question

Question

This question was previously asked in

West Bengal Group C 2016 Official Paper (Held On: 05 Mar, 2017) PYP

Answer 1

Given:

Successive discounts: 10%, 20%, and 30%

Formula used:

Equivalent discount = 1 - (1 - d₁) × (1 - d₂) × (1 - d₃)

Where d₁, d₂, and d₃ are successive discounts expressed as decimals.

Calculations:

Equivalent discount = 1 - (1 - 0.10) × (1 - 0.20) × (1 - 0.30)

⇒ Equivalent discount = 1 - (0.90 × 0.80 × 0.70)

⇒ Equivalent discount = 1 - 0.504

⇒ Equivalent discount = 0.496

∴ The correct answer is option (2).

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