Question

Mr. Khanna spent \[{83\% }\] of his salary and saved \[{\text{Rs 1870}}\] . Calculate his monthly salary.

Answer 1

Hint: In this question we can use the concept of percentages and translation of wordy information to math.
 $ {x\% = }\dfrac{{\text{x}}}{{{\text{100}}}} $
Salary is the sum of the expenditures and savings.

Complete step-by-step answer:
Given that percentage of salary spent in a month is .
Savings in a month is \[{\text{Rs 1870}}\] .
We need to find a monthly salary.
Let the total monthly salary is $x$.
According to question,
Percentage of salary spent in a month is \[{83\% }\] .
$ \Rightarrow {83\% } \times {\text{x = }}\dfrac{{{\text{83}}}}{{{\text{100}}}} \times {\text{x}}$
Total monthly salary is the sum of savings plus the amount spent.
 \[
   \Rightarrow {\text{x}} = \dfrac{{{\text{83}}}}{{{\text{100}}}} \times {\text{x}} + {\text{1870}} \\
   \Rightarrow {\text{x}} - \dfrac{{{\text{83}}}}{{{\text{100}}}} \times {\text{x}} = {\text{1870}} \\
   \Rightarrow \dfrac{{{\text{17}}}}{{{\text{100}}}} \times {\text{x}} = {\text{1870}} \\
   \Rightarrow {\text{x}} = \dfrac{{1870 \times 100}}{{\text{17}}} \\
   \Rightarrow {\text{x}} = {\text{11000}}
 \]
Therefore monthly salary is ${\text{Rs 11000}}$ .
So, the correct answer is “Rs.11000”.

Note: In the question that involves the concept of percentages we need to have knowledge about the definition of percentages. Assigning variables to the unknown quantity and solving them as per the given data in the question helps us to get the required answer.