A manufacturer offers a 12% rebate on the marked price of a product. The retailer offers 15% rebate on the reduced price. The two reductions are equivalent to a single reduction of: 

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  1. 25.2%
  2. 27.4%
  3. 26.8%
  4. 27.8%

Answer (Detailed Solution Below)

Option 1 : 25.2%
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Detailed Solution

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Given:

1st rebate = 12%

2nd rebate = 15%

Formula:

In case of successive discounts,

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

Where, 1st discount = a%, and 2nd discount = b%

Calculation:

According to the question,

Equivalent rebate = 12 + 15 - (12 × 15)/100

⇒ 27 - 1.8 = 25.2

∴ The equivalent single reduction is 25.2%

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