Which scheme provides the highest discount among the options given?

Correct option is B

Concept Used:

The effective discount for two successive discounts of a% and b% is given by the formula:

Effective Discount = a + b - $$\frac{a \times b}{100}$$​​

Solution:

A. Two successive discounts of 8% and 8%

Effective Discount = 8 + 8 - $$\frac{8 \times 8}{100}$$​ = 16 - 0.64 = 15.36%

B. Two successive discounts of 10% and 10%

Effective Discount = 10 + 10 - $$\frac{10 \times 10}{100}$$​ = 20 - 1 = 19%

C. Two successive discounts of 5% and 5%

Effective Discount = 5 + 5 - $$\frac{5 \times 5}{100}$$​ = 10 - 0.25 = 9.75%

D. Two successive discounts of 8% and 11%

Effective Discount = 8 + 11 - $$\frac{8 \times 11}{100}$$​ = 19 - 0.88 = 18.12%

The highest effective discount is 19%, which corresponds to Option B