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If a chair is bought for ₹ 2000 and is sold at a gain of 10%, then selling price of the chair is ₹ 2010. - Mathematics

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Question

If a chair is bought for ₹ 2000 and is sold at a gain of 10%, then selling price of the chair is ₹ 2010.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Given, C.P. = ₹ 2000 and profit % = 10%

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

⇒ Profit % = `(S.P. -  C.P.)/"C.P." xx 100%`  ......[∵ Profit = S.P. – C.P.]

⇒ 10 = `(S.P. - 2000)/2000 xx 100%`

⇒ `(10 xx 2000)/100` = S.P. – 2000

⇒ 200 = S.P. – 2000

∴ S.P. = ₹ 22000

Hence, the S.P. of chair is ₹ 2200.

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Chapter 7: Comparing Quantities - Exercise [Page 204]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 73. | Page 204

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