Question

If a person spends \(42{6\over7}\%\) of his salary on food, \(28{4\over7}\%\) on house rent, 10% on entertainment. If at the end of the month his savings is Rs. 1300, then his salary per month (in Rs.) is.
1. 6000
2. 7000
3. 5000
4. 8000

Answer 1

Correct Answer - Option 2 : 7000

Given:

Savings at the end of the month is Rs. 1300.

Formula used:

Percentage = (Part value/Original value) × 100

Calculation:

Person total percentage expenditure

\( \Rightarrow \;42_7^6\% \; + \;28_7^4\% \; + \;10\% \; = \;81_7^3\% \)

Percentage savings

\( \Rightarrow 100\; - \;81_7^3\% \; = \;18_7^4\% \)

Person total salary

\( \Rightarrow \;\frac{{1300 \times 7 \times 100}}{{130}}\)

⇒ 7000

∴ Person per month salary is Rs. 7000.