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 24% and 27%.

B) Buy 5 get three free.

C) Buy 6 and get 10.

The correct option is B.

To determine which scheme offers the minimum discount percentage, let us calculate the effective discount percentage for each scheme individually.

1. Scheme A: Two successive discounts of 24% and 27%

The formula for equivalent discount percentage for two successive discounts

$d_1$

and

$d_2$

is given by:

$\text{Equivalent Discount}=d_1+d_2-\frac{d_1\times d_2}{100}$

Substituting

$d_1=24$

and

$d_2=27$

:

$\text{Discount}=24+27-\frac{24\times 27}{100}$

$\text{Discount}=51-\frac{648}{100}$

$\text{Discount}=51-6.48=44.52\%$

2. Scheme B: Buy 5 get 3 free

Under this scheme, the customer pays for 5 items and receives 3 additional items for free. Thus, the total number of items obtained is

$5+3=8$

.

The discount percentage is calculated as:

$\text{Discount \%}=\frac{\text{Number of Free Items}}{\text{Total Number of Items}}\times 100$

$\text{Discount \%}=\frac{3}{8}\times 100=37.5\%$

3. Scheme C: Buy 6 and get 10

Under this scheme, the customer pays for 6 items and gets a total of 10 items. Therefore, the number of free items is

$10-6=4$

.

The discount percentage is calculated as:

$\text{Discount \%}=\frac{4}{10}\times 100=40\%$

Conclusion:

Comparing the discount percentages from all three schemes:

- Scheme A: 44.52%
- Scheme B: 37.5%
- Scheme C: 40%

Scheme B provides the minimum discount percentage of 37.5%.