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प्रश्न
A man buys a house for Rs 10 lakh and rents it. He puts 10% of the annual rent aside for repairs, Pays Rs. 1000 as annual taxes and realizes 8% on his investment thereafter. Find the annual rent of the house.
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उत्तर
Let ₹ ‘x’ be the annual rent of the house.
The man keeps 10% of the annual rent aside for repairs.
i.e., `10/100 xx "x"` or ₹ `"x"/10` aside for repairs.
In addition, he pays ₹ 1000 as annual taxes.
After incurring these expenses he is left with an amount which is 8% of his investment for the house.
i.e., `8/100 xx 10,00,000`
i.e., ₹ 80,000
∴ `"x" - ("x"/10 + 1000) = 80,000`
∴ `"x" - "x"/10 = 81,000`
∴ `(10"x" - "x")/10 = 81,000`
∴ 9x = 8,10,000
∴ x = 90,000
∴ The annual rent of the house is ₹ 90,000.
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