Question

25% of selling price is given as discount. What percent of discount is given on marked price

Answer 1

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Answer 2

Answer:-

The rate of discount on marked price is 33.33% .

Given:

• 25% of selling price is given as discount.

To find:

• What percent of discount is given on marked price.

Solution:-

Let the selling price be x rupees.

Discount=25% of selling price.

Discount=$\sf{\frac{25}{100}\times \ x}$

$\sf{\therefore}$ Discount= $\sf{\frac{x}{4}}$

$\boxed{\sf{Marked \ price=Selling \ price - Discount}}$

$\sf{\therefore{Marked \ price=x-\frac{x}{4}}}$

$\sf{\therefore{Marked \ price=\frac{3x}{4}}}$

Rate of Discount on marked price=

$\sf{\frac{Discount}{Marked \ price}\times100}$

$\sf{\therefore{Rate \ of \ discount=\frac{\frac{x}{4}}{\frac{3x}{4}}\times100}}$

$\sf{\therefore{Rate \ of \ discount=\frac{x}{4}\times\frac{4}{3x}\times100}}$

$\sf{\therefore{Rate \ of \ discount=\frac{100}{3}}}$

$\sf{\therefore}$ Rate of discount=33.33%

The rate of discount on marked price is 33.33% .