Question

a shokeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is​

Answer 1

The discount allowed is 20%.

Step-by-step explanation:

Let the cost price of the article be, Rs. x.

The marked price of the article is, $Rs.\ (x+\frac{35x}{100})=Rs.\ 1.35x$.

A profit of 8% was earned.

Then the selling price is:$Rs.\ (x+\frac{8x}{100})=Rs.\ 1.08x$

Compute the discount percentage as follows:

$SP=MP[1-\frac{d}{100}]\\1.08x=1.35x[1-\frac{d}{100}]\\1-\frac{d}{100}=\frac{1.08}{1.35}\\1-\frac{d}{100}=0.80\\\frac{d}{100}=0.20\\d=20\%$

Thus, the discount allowed is 20%.

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