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 `25/100 xx x = 200`

or, `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 = `100/25 xx 200` = Rs. 800

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

Answer 2

Given: 

Discount = 25%

Amount saved = ₹ 200

If Rahul saved ₹ 200 due to a 25% discount, that means:

₹ 200 is 25% of the original price.

Let the original price be x

25% of x = 200

`25/100 xx x = 200`

`x/4 = 200`

x = 200 × 4

= 800