Math, asked by llAestheticKing379ll, 19 days ago

Out of her total income, Poonam spends 25% on house rent and 60% of the rest on household expenses. If she saves Rs 2100, what is her total income?​​
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Answers

Answered by kamleshkushwaha9857
2

Step-by-step explanation:

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Answered by XxitzZBrainlyStarxX
9

Question:-

Out of her total income, Poonam spends 25% on house rent and 60% of the rest on household expenses. If she saves ₹2,100, what is her total income?

Given:-

  • House rent = 25%.
  • Household expenses = 60%.
  • She saves = ₹2,100.

To Find:-

  • Poonam's total income.

Solution:-

Let, Poonam total income be x.

Money spend on house rent = 25% of  \sf \large x =  \frac{25}{100}  \times x =  \frac{x}{4} .

Money spend on household = 60% of Rent amount after house rent  \sf \large = 60  \% \: of \: (x -  \frac{x}{4 })

 \sf \large =  \frac{60}{100}  \times  \frac{3x}{4}  \\  \\  \\   \sf \large =  \frac{9x}{20}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Money she saves

 \sf \large = x -  \bigg( \frac{x + 5}{4 \times 5}  +  \frac{9x}{20}  \bigg)  \:  \: \:   \\  \\  \\  \sf \large = x -  \bigg( \frac{5x}{20}  +  \frac{9x}{20} \bigg) \:  \:  \:  \:  \:  \:  \:   \:  \:  \\  \\  \\  \sf \large = x -  \frac{5x + 9x}{20}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\  \sf \large = x -  \frac{14x}{20}  =  \frac{6x}{20}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

It is given that the money she saves is = ₹2,100.

 \sf \large \therefore \frac{6x}{20} = 2 ,100  \:  \:  \:  \: \\  \\  \\  \sf \large x =  \frac{2,100 \times 20}{6}  \\  \\  \\   \sf \large x= ₹7,000. \:  \:  \:  \:  \:  \:  \:  \:

Answer:-

Hence, Poornam total income is ₹7,000.

Hope you have satisfied.

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