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Avnish spends 70% of his income. From the balance amount, he donates ₹ 1000 to an orphanage. He is then left with ₹ 8,000. Find his income. - Algebra

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Question

Avnish spends 70% of his income. From the balance amount, he donates ₹ 1000 to an orphanage. He is then left with ₹ 8,000. Find his income.

Options

  • ₹ 60,000

  • ₹ 50,000

  • ₹ 40,000

  • ₹ 30,000

MCQ

Solution

₹ 30,000

Explanation:

Let Avnish's income be ₹ A.

Then, Amount spent= 70% × A

= `70/100 xx A`

Remanung balance = `A - 70/100 xx A`

= `(30  A)/100`

Amount donated to orphanage = ₹ 1000

And Remaining balance = ₹ 8000

So, `(30  A)/100 - 1000` = 8000

⇒ `(30  A)/100` = 9000

⇒ A = `(9000 xx 100)/30` = 30000

Thus, his income is ₹ 30,000.

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2024-2025 (March) Model set 1 by shaalaa.com
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