Question

In a school function Rs360 remained after spending 82% of the money. How much money was there in the beginning? Verify your answer.

Answer 1

Hint: In this particular type of question we haveIn this particular type of question we have to proceed by finding the percentage of the total money that was left after spending. Then we have to apply the percentage formula to get the desired answer for our question. To check we can subtract 360 from the total money and check if it’s 82% of the total.

Complete step-by-step answer:
Let the total money at beginning = x
Remaining money = 360
Therefore (100 - 82) % of x is Rs360
=18% of x is Rs360
Therefore,
Money at the beginning = x= Rs2000
And to verify we need to find 18% of Rs2000
 to proceed by finding the percentage of the total money that was left after spending. Then we have to apply the percentage formula to get the desired answer for our question. To check we can subtract 360 from the total money and check if it’s 82% of the total.
Let the total money at beginning = x
Remaining money = 360
Therefore (100 - 82) % of x is Rs360
=18% of x is Rs360
$\begin{gathered}
   \Rightarrow \dfrac{{18}}{{100}} \times x = 360 \\
   \Rightarrow x = \dfrac{{360 \times 100}}{{18}} = Rs2000 \\
\end{gathered} $
Therefore,
Money at the beginning = x= Rs2000
And to verify we need to find 18% of Rs2000
$ = \dfrac{{18}}{{100}} \times 2000 = Rs360$
which was the remaining money, thus it proves that the solution is correct.

Note: Remember to recall the percentage formula for solving these types of questions. Keep in mind that we need to find the total money that was present in the beginning including the remaining 360 rupees. We should solve the question step by step to make our answer accurate.