Three successive discounts of 10% is equivalent to a single discount of:

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 1)
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  1. 27.1%
  2. 19.0%
  3. 25.1%
  4. 26.2%

Answer (Detailed Solution Below)

Option 1 : 27.1%
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Detailed Solution

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Given:

Three successive discounts of 10% = single discount of ?

Formula used:

Successive discount = X + Y - \(XY \over 100\)

where X = first discount

Y = second discount

Calculation:

First discount of 10% and 10% = 10 + 10 - \(100 \over 100\) = 20 -1 = 19%

Second final discount of 19% and 10% = 19 + 10 - \(190 \over 100\) = 29 - 1.9 = 27.1%

∴ Three successive discounts of 10% is equivalent to a single discount of 27.1%.

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