Question

The marked price of a cycle is Rs.3600 and is sold for Rs.3312. find the discount percentage.

Answer 1

Hint:
We are given both marked price and selling price. And we know that when a discount is given, the selling price is definitely lesser than the marked price. And discount is calculated on marked price only. Thus we will calculate the discount using the formula.

Formula used:
$$\mathrm{\%}discount={\displaystyle \frac{markedprice-sellingprice}{markedprice}}\times 100$$

Complete step by step solution:
Here given that,
Marked price=Rs.3600
Selling price=Rs.3312
Thus using the formula above,
$$\mathrm{\%}discount={\displaystyle \frac{markedprice-sellingprice}{markedprice}}\times 100$$
$$\Rightarrow \mathrm{\%}d={\displaystyle \frac{3600-3312}{3600}}\times 100$$
Subtracting the terms in numerator and dividing 3600 by 100 we get,
$$\Rightarrow \mathrm{\%}d={\displaystyle \frac{288}{36}}$$
Dividing the N and D by 4 we get,
$$\Rightarrow \mathrm{\%}d={\displaystyle \frac{72}{9}}$$
Again dividing 72 by 9 we get,
$$\Rightarrow \mathrm{\%}d=8\mathrm{\%}$$

Thus the discount percentage is 8%.

Note:
Note that marked price is the price printed on the product. And selling price is the price at which the product is sold. If discount is not given then marked price is the selling price only, but when discount is given both prices change. And the selling price is lesser than the marked price.