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By selling 144 chairs a shopkeeper suffered a loss equal to the S.P. of 6 chairs. His loss percent is:
Question

By selling 144 chairs a shopkeeper suffered a loss equal to the S.P. of 6 chairs. His loss percent is:

A.

2%

B.

4%

C.

5%

D.

8%

Correct option is B

Given:

Let CP of 1 chair=x, SP of 1 chair=y\text{Let CP of 1 chair} = x,\ \text{SP of 1 chair} = y​​

Loss on 144 chairs=SP of 6 chairs=>144x144y=6y\text{Loss on 144 chairs} = \text{SP of 6 chairs} \Rightarrow 144x - 144y = 6y​​

144x=150y=>CPSP=xy=150144=2524144x = 150y \Rightarrow \frac{CP}{SP} = \frac{x}{y} = \frac{150}{144} = \frac{25}{24}​​

Formula used:

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

Loss per chair=xy=2524yy=124y\text{Loss per chair} = x - y = \frac{25}{24}y - y = \frac{1}{24}y​​

Loss %=124y2524y×100=125×100=4%\text{Loss \%} = \frac{\frac{1}{24}y}{\frac{25}{24}y} \times 100 = \frac{1}{25} \times 100 = 4\%​​


Final Answer:

4%\boxed{4\%}​​

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