Successive discounts of 50% and 40% equal a single discount of:

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 25 Aug, 2024 Shift 2)

Answer 1

Given:

First discount = 50%

Second discount = 40%

Formula used:

Single equivalent discount = 1 - (1 - First discount) × (1 - Second discount)

Calculation:

Single equivalent discount = 1 - (1 - 0.50) × (1 - 0.40)

⇒ Single equivalent discount = 1 - 0.50 × 0.60

⇒ Single equivalent discount = 1 - 0.30

⇒ Single equivalent discount = 0.70

⇒ Single equivalent discount = 70%

∴ The single equivalent discount is 70%.

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