The successive discounts of 12%, 20% and 25% are equivalent to a single discount of:

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 52.2%
  2. 49.5%
  3. 47.2%
  4. 57.0%

Answer (Detailed Solution Below)

Option 3 : 47.2%
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Detailed Solution

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Given:

3 Successive Discounts = 12%, 20%, 25%

Formula Used:

Equivalent discount = a + b - (a × b)/100

Where a & b are the two successive discounts. 

Calculation:

Equivalent discount of 12% & 20% = 12 + 20 - (12 × 20)/100 = 32 - 2.4 = 29.6%

Now, the equivalent discount of 29.6% and 25%

⇒ 29.6 + 25 - (29.6 × 25)/100 = 54.6 - 7.4 = 47.2%

∴ The equivalent discount of 12%, 20% & 25% is 47.2%

Hence, the correct answer is 47.2%.

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