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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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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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