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Aahuti purchased a house for ₹ 50,59,700 and spent ₹ 40300 on its repairs. To make a profit of 5%, she should sell the house for ₹ ______.

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Question

Aahuti purchased a house for ₹ 50,59,700 and spent ₹ 40300 on its repairs. To make a profit of 5%, she should sell the house for ₹ ______.

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Solution

Aahuti purchased a house for ₹ 50,59,700 and spent ₹ 40300 on its repairs. To make a profit of 5%, she should sell the house for ₹ 5355000.

Explanation:

Given, C.P. of house = ₹ 5059700

And amount spent on repairing = ₹ 40300

So, total C.P. of house = 5059700 + 40300 = ₹ 5100000

We  know that, profit % = `"Profit"/"C.P." xx 100%`

⇒ `5 = (S.P. -  C.P.)/(C.P.) xx 100`  ...[∵ Profit = S.P. – C.P. and profit% = 5, given]

⇒ `5 = (S.P. -  5100000)/5100000 xx 100`

⇒ `(5 xx 5100000)/100 = S.P. -  5100000`

⇒ 255000 = S.P. – 5100000

⇒ S.P. = 5100000 + 255000

∴ S.P. = ₹ 5355000

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Chapter 7: Comparing Quantities - Exercise [Page 201]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 7 Comparing Quantities
Exercise | Q 43. | Page 201

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