Question

27. A person spends 20% of his income on food, 10% on
house rent, 20% on education, 25% other necessities. If
he his savings is Rs 5000. Find his income.?
a) 15000
b) 20000
c) 25000
d) 40000​

Answer 1

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REQUIRED ANSWER:

Income of the person is Rs. 20000

$\rule{300}{4}$ ‎ ‎

EXPLAINATION:

Here in this question we have given how a person spent his total income and we have to find its total income. To find total income we have to find how much money did he spent.

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So let's start!

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GIVEN:

• Money spent by person on food=20%
• Money spent by person on house rent=10%
• Money spent by person on education=20%
• Money spent by person on other necessities=25%
• Savings of the person=Rs.5000

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TO FIND:

• Total income of the person.

‎$\rule{300}{4}$ ‎ ‎ ‎

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SOLUTION:

Let the total income of the person be x.

=> His total expenditure=Money spent on (food+house rent+education+other necessities)

=> Total expenditure=20%+10%+20%+25%

=> Total expenditure=75%.

=> Total expenditure=75% of x.

From here we can conclude that the person spent 75% of his total income on his necessities.

$\rule{300}{4}$ ‎ ‎

The remaining money out of the money spent is the person's savings.

$\sf{ : \implies \: \: x-75 \% \: of \: x=Rs.5000}$

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$\sf{: \implies \: \: x- \dfrac{75}{100 } \times x=5000}$

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$\sf{ : \implies \: \: x- \dfrac{75x}{100}=5000}$

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$\sf{: \implies \: \: \dfrac{100x - 75x}{100} = 5000}$

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$\sf{: \implies \: \: \dfrac{25x}{100} = 5000}$

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$\sf{ : \implies\: \: \dfrac{x}{4} = 5000}$

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$\sf{ : \implies \: \: x = 5000 \times 4}$

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$\sf{ : \implies \: \: x = 20000 }$

Hence the total income is Rs.20000.

$\rule{300}{4}$ ‎ ‎