Question

A man spends $92\% $ of his monthly income. If he saves $Rs\,2,200$ monthly, find his total monthly income.

Answer 1

Hint: Now, we are given the amount the person saves every month. So, we have to find the total monthly income of the person using the given information. We first find the percentage of income that the man saves. Then, we assume the total income of the man to be a variable, x. Then, we calculate the savings in the terms of the variable x using the percentage and equate it with the amount of savings known to us.

Complete step-by-step solution:
So, we are given that a man spends $92\% $ of his monthly income.
We are also given that he saves $Rs\,2,200$ monthly.
Now, we can calculate the percentage of the man’s savings by subtracting the percentage of his spendings from $100\% $ of his income.
So, we get the percentage of savings of the man as $100\% - 92\% = 8\% $.
Now, let us assume the total income of the man to be $Rs\,x$.
Then, we get the savings of the man as $8\% $ of $Rs\,x$.
Calculating $8\% $ of $Rs\,x$, we get,
$ \Rightarrow \dfrac{8}{{100}} \times Rs\,x$
Now, we can equate this expression with the amount of the savings given to us in the question.
So, we get,
$ \Rightarrow \dfrac{8}{{100}} \times Rs\,x = Rs\,2,200$
Now, shifting all the constants in the equation to the right side of the equation, we get,
$ \Rightarrow x = \,2,200 \times \dfrac{{100}}{8}$
Carrying out the multiplication in the numerator, we get,
$ \Rightarrow x = \,\dfrac{{2,20,000}}{8}$
Cancelling the common factors in numerator and denominator, we get,
$ \Rightarrow x = \,27,500$
So, the total monthly income of the man is $Rs\,27,500$

Note: In the question it is given that the man spends 92% of his salary. So the amount which he saves will be 100-92=8%.