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Three successive discounts 22%, 17% and 11% are equivalent to a single discount of:1. approximately 50%2. approximately 42%3. approximately 45%4. approximately 25% |
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Answer» Correct Answer - Option 2 : approximately 42% Given: Discount 1 percent = 22% Discount 2 percent = 17% Discount 3 percent = 11% Calculation: Let the initial price be 100 Discount 1 = 22% of 100 Discount 1 = 22 Price after discount 1 = 100 – 22 = 78 Discount 2 = 17% of 78 Discount 2 = 13.26 Price after discount 2 = 78 – 13.26 = 64.74 Discount 3 = 11% of 64.74 Discount 3 = 7.1214 Price after discount 3 = 64.74 – 7.1214 Final price after third discount = 57.6186 Total discount = Initial price – Final price = 100 – 57.6186 = 42.3814 Total discount ≈ 42 Discount% ≈ (Total discount/Initial price) × 100 ⇒ Discount% ≈ (42/100) × 100 ⇒ 42% ∴ Discount percentage is approximately 42% |
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