Question

A shopkeeper offers 3 schemes of discounts to his customers. Which of the following schemes will fetch the minimum discount percentage? A. Two successive discounts of 25% and 32%. B. Buy 8 get two free. C. Buy 8 and get 10.

• A. B only
• B. A only
• C. Both B and C
• D. C only

Answer 1

Answer:

C. Both B and C

Two successive discounts of 25% and 32%

Use the formula for successive discounts:

$\text{Net Discount} = a + b - \frac{ab}{100}$

Substitute (a = 25), (b = 32):

$= 25 + 32 - \frac{25 \times 32}{100}$
$= 57 - 8 = 49\%$

Effective discount = 49%

Buy 8 get 2 free

You pay for 8 items and get 10.

$\text{Discount} = \frac{2}{10} \times 100 = 20$\%
Effective discount = 20%

C. Buy 8 and get 10

This means you get 10 items for the price of 8 (same as B).

$\text{Discount} = \frac{2}{10} \times 100 = 20\%$

Effective discount = 20%

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Final Answer:

• A = 49%

• B = 20%

• C = 20%

Minimum discount = 20% → Both B and C