Question 116

A tradesman sold an article at a loss of 20%. If the selling price had been increased by 100, there would have been a gain of 5%. The cost price of the article (in Z.) was

Solution

Let the cost price = $$100x$$

Loss amount = $$\frac{20}{100} * 100x = 20x$$

=> S.P. = $$100x-20x = 80x

Gain amount = $$\frac{5}{100} * 100x = 5x$$

=> $$100x+5x = 105x$$

Now, according to question

=> $$80x + 100 = 105x$$

=> $$x$$ = 4

=> Cost price = 4*100 = 400

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