A shopkeeper offers the following two discount schemes.

A) Two successive discounts of 10% and 15%

B) Buy 5 get 2 free.

Which scheme has the maximum discount percentage? 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. B does not give any discount 
  2. B
  3. A and B both have the same discount percentage  
  4. A

Answer (Detailed Solution Below)

Option 2 : B
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Detailed Solution

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Formula used:

Effective discount = D1% + D2% - (D1 × D2)/100

Discount = (free product × 100)/Total product

Calculation:

For case A :

Effective discount = D1% + D2% - (D1 × D2)/100

⇒ 10 + 15 - (10 × 15)/100 = 25 - 1.5

⇒ 23.5%

For case B:

Total discount = (free product × 100)/Total product

⇒ (2 × 100)/7 = 28.56%

∴ The correct option is 2.

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