Question 186

20% profit is made when a discount of 20% is given on the marked price. When the discount is 30% profit will be

Solution

Let C.P. = $$100x$$

Profit = $$\frac{20}{100} * 100x = 20x$$

=> S.P. = $$100x+20x = 120x$$

Discount % = 20%

Let M.P. = $$y$$

=> $$\frac{y-120x}{y}$$ * 100 = 20

=> $$4y = 600x$$

=> M.P. = $$150x$$

When 30% discount is given => $$\frac{30}{100} * 150x = 45x$$

=> S.P. = $$150x-45x = 105x$$

=> Profit % = $$\frac{105x-100x}{100x}$$ * 100 = 5%

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