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A man buys a cycle for ₹1600 and sells it at a loss of 20%. What is the selling price of the cycle?
Question

A man buys a cycle for ₹1600 and sells it at a loss of 20%. What is the selling price of the cycle?

A.

₹1330

B.

₹1280

C.

₹1120

D.

₹1060

Correct option is B

Given:
Cost Price of the cycle = ₹1600
Loss Percentage = 20%

Formula Used:

Selling Price = Cost Price ×(1Loss %100)\times \left(1 - \frac{\text{Loss \%}}{100} \right)

Solution:

Selling Price = 1600×(120100)1600 \times \left(1 - \frac{20}{100} \right)

1600×(10020100)1600 \times \left(\frac{100-20}{100} \right)

1600×(80100)1600 \times \left(\frac{80}{100} \right)

= 16 ×\times 80

 = 1280

So, the selling price of the cycle is ₹1280.

Thus, the correct answer is (b).

Alternative Method;

CP : SP

5x : 4x

5x = 1600

x = 16005\frac{1600}{5}

x = 320

SP = 4x = 40 ×\times​ 320 = 1280

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