Question

Sanjay sold an article at a loss of 25%. If the selling price had been increased by Rs. 175, there would have been a gain of 10%. What was the cost price of the article?

Answer 1

The cost price of the article is Rs. 500

Solution:

Let the C.P. of the article be x

The article was sold at 25% loss

Selling price is given as:

SP = CP - 25 % on CP

$SP = x - \frac{25}{100} \times x\\\\SP = x - 0.25x\\\\SP = 0.75x$

If the selling price had been increased by Rs. 175, there would have been a gain of 10%

Therefore,

SP = cost price + gain percent on cost price

0.75x + 175 = x + 10 % on x

$0.75x + 175 = x + \frac{10}{100} \times x\\\\0.75x + 175 = x + 0.1x\\\\x + 0.1x - 0.75x = 175\\\\0.35x = 175\\\\Divide\ both\ sides\ by\ 0.35\\\\x = 500$

Thus, the cost price of the article is Rs. 500

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