Question

Ana sold her scooty for Rs. 18000 making a profit of 20%. For how much did the scooty cost her?

Answer 1

Hint: To solve this problem we need to have basic knowledge of what is percentage and how to calculate percentage. So the percentage of anything is the number of parts out of 100 such things. For example X% of the Y will be given by$=\dfrac{X}{100}\times Y$. So in this question we will assume the cost price of the scooty will be any random variable say C and then we will equate the 20% of C with the profit i.e. 18000 – C. From that we will find the value of C which will be our required answer.

Complete step-by-step answer:
We are given the selling price of the scooty as Rs.18000 and also that Ana sold it for 20% profit and we have to find the cost price of the scooty.
So first of all we should know about the percentage to solve this problem i.e. percentage is the number of parts per 100 parts of a given substance. Like X% of the amount Y will be given by,
$=\dfrac{X}{100}\times Y$
So in the given question profit is the 20% of the cost price so,
We will suppose the cost price of the scooty be Rs.C
Hence 20% of C is given by,
$=\dfrac{20}{100}\times C$
Now this 20% is equal to the profit i.e. selling price – cost price,
=$18000-C$
Now equating the 20% of the amount with the profit we get,
$\begin{align}
  & \dfrac{20}{100}\times C=18000-C \\
 & C=90000-5C \\
 & 6C=90000 \\
 & C=15000 \\
\end{align}$
Hence we get the cost price of the scooty at which Ana bought it as Rs.15000.

Note: To solve problems involving the percentage you should know about the percentage first otherwise you would not be able to solve them and also some students may calculate the 20% amount of the selling price but that will give us wrong answer so you have to read the question carefully before trying to solve it.