Question

If Chameli had Rs 600 left after spending \[75\% \]of her money, how much did she have in the beginning?

Answer 1

Hint: We will find the percentage of money left and let the total money be x then we will find the value of x to get the total amount of money.
\[{\text{Percentage of money left = }}\dfrac{{{\text{money left}}}}{{{\text{total money}}}} \times 100\]

Complete step by step solution:
We are given,
The percentage of money spent \[ = 75\% \]
Therefore,
The percentage of money spent \[ = 100\% - 75\% \]
                                                          \[ = 25\% \]
Now let the total money be x then,
\[{\text{Percentage of money left = }}\dfrac{{{\text{money left}}}}{{{\text{total money}}}} \times 100\]
Putting in the respective values we get:-
\[25 = \dfrac{{600}}{{\text{x}}} \times 100\]
Now further solving this equation for x we get:
\[\begin{gathered}
  {\text{x = }}\dfrac{{600}}{{25}} \times 100 \\
  {\text{x = }}600 \times 4 \\
  {\text{x = }}2400 \\
\end{gathered} \]
Hence the total amount of money she had is Rs 2400.

Note:
Alternative method to solve this question is:
We are given ,
The percentage of money spent \[ = 75\% \]
Therefore,
The percentage of money spent \[ = 100\% - 75\% \]
                                                          \[ = 25\% \]
Now let the total money be x then,
\[{\text{Money Left = Total money }} \times {\text{ percentage of money left}}\]
Therefore putting in the respective values we get:-
\[\begin{gathered}
  {\text{600 = x}} \times 25\% \\
  {\text{600 = x}} \times \dfrac{{25}}{{100}} \\
\end{gathered} \]
Solving it further we get:-
\[\begin{gathered}
  x = \dfrac{{600 \times 100}}{{25}} \\
  x = 600 \times 4 \\
  x = 2400 \\
\end{gathered} \]
Hence the total money is Rs 2400.