Question

The ratio of the monthly income to the expenditure of a family is
7 : 6. Find the savings if the monthly income is Rs 4,200

Answer 1

☯ Income is Rs. 4,200.

☯ Expenditure is in ratio is 7 : 6.

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$\underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}$

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• Let the income and the expenditure be Rs 7x and Rs 6x, respectively.

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Therefore,

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{7x\:=\:4200}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{x\:=\:\cancel{\dfrac{4200}{7}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{x\:=\:600}$

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• Expenditure : Rs 6x

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{Rs.\:6\:\times\:600}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{Rs.\:3600}$

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We know that,

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• ${\blue{\mathfrak{Saving\:\leadsto\:Income\:-\:Expenditure}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{4200\:-\:3600}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\underline{\boxed{\frak{\pink{Rs.\:600}}}}}\:\bigstar$

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$\:\:\:\:\:\therefore\:{\underline{\sf{Hence,\:the\:savings\:is\:{\textsf{\textbf{Rs.\:600 }}}}}}.$

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Answer 2

Answer:

Let, income be 7x

and expenditure be 6x

So savings =7x−6x=x

7x=14000

x=2000

So savings =2000