Question 69

When an article is sold for ₹291, there is a loss of 3%. What will be the selling price of the article, if it is sold at a gain of 8%?

Solution

let us call full price is x

The profit or loss is always to be calculated on cost price

Since he sells for a 3% loss he sells for 97% of his full price at ₹291

$$\frac{97}{100}×x$$=291

x=$$\frac{291×100}{97}$$

Since he wants to sell for a profit of 8% he wants to sell at 108% of full price is=$$\frac{108}{100}×x$$

Substitute x value in the above equation 

=$$\frac{108×291×100}{100×97}$$

By solving the above equation we get

x=₹324


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