A shopkeeper offers three types of discount schemes for buyers. Which of them has the maximum discount percentage?

I. Two successive discounts of 10% each.

II. Successive discounts of 15% and 5%.

III. 20% discount.

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. Only discount scheme I 
  2. Only discount scheme II 
  3. Only discount scheme III 
  4. All provide equal discount 

Answer (Detailed Solution Below)

Option 3 : Only discount scheme III 
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Detailed Solution

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Concept used:

Effective discount = D1 + D2 - (D1.D2)/100

Here,

D1 = Discount 1

D= Discount 2

Calculation:

Statement I:

Effective discount = 10 + 10 - (10 × 10)/100

⇒ 20 - 1

⇒ 19%

Statement II:

Effective discount = 15 + 5 - (15 × 5)/100

⇒ 20 - 0.75

⇒ 19.25%

Statement III:

20% discount

So, from these three third discount scheme is the best

∴ The required answer is Option 3.

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