Question

Rahul bought a sweater and saved Rs. 200 when a discount of 25% was given. What was the price of the sweater before the discount?

Answer 1

Rahul has saved Rs. 200 when price of sweater is reduced by 25%. This means that 25% reduction in price is the amount saved by Rahul.

(i) 25% of the original price = Rs. 200

Let the price (in Rs.) be x.

So, 25% of x = 200 or ${\displaystyle \frac{25}{100}\times x=200}$

or, ${\displaystyle \frac{x}{4}}$ = 200 or x = 200 × 4

Therefore, x = 800.

(ii) Rs. 25 is saved for every Rs. 100

Amount for which Rs. 200 is saved = ${\displaystyle \frac{100}{25}\times 200}$ = Rs. 800

Thus both obtained the original price of sweater as Rs. 800.