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By selling a chair for ₹ 1440, a shopkeeper loses 10%. At what price, did he buy it? - Mathematics

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Question

By selling a chair for ₹ 1440, a shopkeeper loses 10%. At what price, did he buy it?

Sum
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Solution

Given, S.P. = ₹ 1440 and loss = 10%

We know that,

Loss% = `"Loss"/"C.P." xx 100%`

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

⇒ `10 = ("C.P." - 1440)/"C.P." xx 100`

⇒ `10/100 "C.P." = "C.P." - 1440`

⇒ `"C.P." - 10/100 "C.P." = 1440`

⇒ `9/10 "C.P." = 1440`

⇒ `"C.P." = (1440 xx 10)/9`

∴ C.P. = ₹ 1600

Hence, the cost price of chair is ₹ 1600.

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Chapter 7: Comparing Quantities - Exercise [Page 208]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 109. | Page 208

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