A shopkeeper offers the following three schemes. Which scheme has the maximum discount percentage?
I. Consecutive discounts of 15% and 30%
II. Buy 3, get 2 free
III. Buy 5, get 3 free

Correct option is C

Formula Used:

Successive Discount:

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

Buy X, Get Y Free:

$$\text{Discount \%} = \left( \frac{Y}{X + Y} \right) \times 100$$

​​Solution:

I. 15% and 30% successive discount:

​$$15 + 30 - \frac{15 \times 30}{100} = 45 - 4.5 = 40.5\%$$

II. Buy 3, Get 2 Free => Get 5 items, pay for 3
​$$\text{Discount \%} = \left( \frac{2}{5} \right) \times 100 = 40\%$$

III. Buy 5, Get 3 Free => Get 8 items, pay for 5
​$$\text{Discount \%} = \left( \frac{3}{8} \right) \times 100 = 37.5\%$$

Scheme I > Scheme II > Scheme III

So, Scheme I has the maximum discount percentage.

Thus, the correct answer is (c).