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A man incurs a loss of 15% by selling a radio for Rs.510. At what price should he sell it in order to make a profit of 15%?
Question

A man incurs a loss of 15% by selling a radio for Rs.510. At what price should he sell it in order to make a profit of 15%?

A.

Rs.670

B.

Rs.660

C.

Rs.680

D.

Rs.690

Correct option is D

Given:

Selling Price of radio = ₹510

Loss = 15%

Formula Used:

Loss = CP - SP

Loss percent = LossCP×100\frac{Loss}{CP} \times 100​​

Profit Percent = ProfitCP×100\frac{Profit}{CP} \times 100​​

Solution:

Let the CP be x

Then loss = 15% of x = 0.15x

Selling Price = x -0.15x = 0.85x

0.85x = 510

x=5100.85=600 \frac{510}{0.85} =₹600​​

Now profit of 15 % is needed

15% of 600 = ₹90

Selling Price for a profit of 15% = 600+90 = ₹690

Alternative Method:

Let CP be 100

Then loss = 15

SP = 85

New SP = 100+15 = 115

New SP =510×185×115=690 510 \times \frac{1}{85} \times 115=₹690​​

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