What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17%?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. 27.53%
  2. 26.47%
  3. 26.00%
  4. 24.47%

Answer (Detailed Solution Below)

Option 4 : 24.47%
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Detailed Solution

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Given:

The equivalent discount percentage corresponding to two successive discounts of 9% and 17%

Formula Used:

Single discount equivalent to two successive discounts of a % and b %

= (a + b - \(\frac{a \space × \space b}{100}\) ) %

Calculation:

Here, a = 17 % , and b =  9 %

So, the single discount = (17 + 9 - \(\frac{17 \space × \space 9}{100}\)) %

⇒ (26 - 1.53) %

⇒ 24.47%

∴ The correct option is 4

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