Word Problem 20

Profit & Loss

Problem 20: By selling a watch for Rs 50 a man lost 10%. In order to gain 26% he must sell it for;

a. Rs 63.30 a. Rs 70 a. Rs 76 a. Rs 80

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Solution:

Here Selling Price(with loss)

Sp= Rs 50

Loss=10%

Profit = 26%

Selling Price (with profit)=?

We suppose the cost price ;

$CP of Watch = y$

As he gets 10% loss for his first selling;

$\Rightarrow Selling Price ( with 10% loss)=\frac{90y}{100}$

But selling price with loss is Rs 50

$\Rightarrow 50=\frac{90y}{100}$

$\Rightarrow y =\frac{100\times50}{90}$

$\Rightarrow y =\frac{500}{9}$

Now his selling price with profit of 26%

$=\frac{126y}{100}$

Put value of ‘y’ from above;

$\Rightarrow Selling Price (26% Profit)=\frac{126}{100}\times \frac{500}{9}$

$\Rightarrow Selling Price (26% Profit)=70$

So he must sale his watch for RS 70 to earn 26% profit

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