Question

Which of the following is the most beneficial customer?

• A. A discount of 40%
• B. Two successive discounts of 20% each
• C. A discount followed by a 30% discount.
• D. A discount followed by a 10% discount.

Answer 1

Answer: (A)

A discount of 40%

More the discount more it is beneficial Let $x$ be the cost price of article.

a) $2$ successive discount $\to \frac{20}{100}\times \left[\frac{20}{100}x\right]\to \left[\frac{x}{25}\right]$

b) $40\%$ at a time discount $\to \frac{40}{100}x\to \left[\frac{2x}{5}\right]\to \left[\frac{10x}{25}\right]$

$\therefore bdiscount>adiscount$