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A shopkeeper offers 3 schemes of discounts to his customers. Which of the following schemes will fetch the minimum discount percentage? A. Two suc
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

Correct option is C

Given:
Scheme A: Two successive discounts of 25% and 32%
Scheme B: Buy 8 get 2 free
Scheme C: Buy 8 and get 10
Formula Used:
1. For successive discounts d₁ and d₂, total discount percentage is:
 D=d1+d2d1×d2100D = d_1 + d_2 - \frac{d_1 \times d_2}{100} ​​
2. For “Buy X get Y free” scheme, effective discount percentage is:
Discount %=YX+Y×100 \text{Discount \%} = \frac{Y}{X+Y} \times 100 ​​
Solution:
Scheme A:
D=25+3225×32100=578=49% D = 25 + 32 - \frac{25 \times 32}{100} = 57 - 8 = 49\% ​​
Scheme B: Buy 8 get 2 free means total items = 10, free items = 2,
Discount %=210×100=20% \text{Discount \%} = \frac{2}{10} \times 100 = 20\% ​​
Scheme C: Buy 8 and get 10 means pay for 8 items but get 10 items,
Discount %=10810×100=20% \text{Discount \%} = \frac{10 - 8}{10} \times 100 = 20\% ​​
Schemes B and C offer the minimum discount percentage, both 20%.

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