Question

By selling a mobile for rs. 15000, a shopkeeper loses 25%. for what amount should he sell it so as to gain 25%

Answer 1

hope it helps .......

Answer 2

The selling price of the phone should be Rs. 25000 so as to gain 25%.

Given:

By selling a mobile for Rs. 15000, a shopkeeper loses 25%.

To Find:

The amount at which the shopkeeper should sell it to gain 25%.

Solution:

Let us assume that the original cost at which the shopkeeper bought the phone CP = Rs. x.

The loss incurred is 25% of Rs. x, i.e.

Loss = 25x/100

We are given that the shopkeeper sells a mobile for Rs. 15000, i.e.

SP = Rs. 15000.

Now,

Loss = CP - SP.

⇒ SP = CP - Loss.

⇒ 15000 = x - 25x/100

⇒ 15000 = 3x/4

⇒ x = 20000.

Hence, the cost price (CP) = Rs. 20000.

To gain 25%, the selling price should be;

The required SP = CP + 25% of CP.

⇒ The required SP = 20000 + (25/100 x 20000)

⇒ The required SP = 20000 + 5000 = 25000.

∴ The selling price of the phone should be Rs. 25000 so as to gain 25%.

#SPJ2