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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. - Mathematics and Statistics

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Question

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.

Sum

Solution

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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Chapter 9: Commercial Mathematics - Miscellaneous Exercise 9 [Page 143]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 9 Commercial Mathematics
Miscellaneous Exercise 9 | Q 1 | Page 143

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