Question

A dealer purchased a fan for rs 1080. After allowing a discount of 25% on its marked price ,he gains 25% .find the marked price

Answer 1

The amount of the fan purchased by the dealer = Rs. 1080
Marked price be x
Selling price = x - x * 25/100 = x - x/4 = 3x/4 ---(i)

Selling price of fan = 1080 + 1080 *25/100 = 1080 + 270 = Rs. 1350 ---(ii)
From (i) and (ii)
3x/4 = 1350
x = 1350 * 4/3 = 450 * 4 = 1800
Marked price is Rs. 1800

Hope it helped you!!

Answer 2

CP = 1080
gain = 25%
SP = 1080*(100+25 / 100) = 1350

1350 is the value after 25% discount on Marked price
marked price = 1350 * (100 / 100-25) = 1800