A sells a radio to B at a loss of 20%. If B pays ₹ 2000, then the Cost Price for A is ₹______

₹2500

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2000

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3500

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4500

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Solution

The correct option is A ₹2500
Let the cost price for A be x
Now, loss suffered by A is 20% and the money paid by B will be the selling price for A
So, SP=₹2000
Now, loss% = $\frac{C P - S P}{C P} \times 100$
20= $\frac{x - 2000}{x} \times 100$
1 = $\frac{x - 2000}{x} \times 5$
x = 5x - 10000
4x = 10000
x = 2500
So, cost price of the radio for A is ₹2500

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