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On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ______.

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Question

On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ______.

Options

  • ₹ 310.37

  • ₹ 348.74

  • ₹ 335

  • ₹ 350

MCQ
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Solution

On selling an article for ₹ 329, a dealer lost 6%. The cost price of the article is ₹ 350.

Explanation:

Given, SP = ₹ 329 and Loss% = 6%

We know that,

Loss% = `"Loss"/(CP) xx 100`

⇒ `6 = (CP - SP)/(CP) xx 100` ...[∵ Loss = CP – SP]

⇒ 6CP = 100(CP – SP)

⇒ `6/100 CP = CP - SP`

⇒ `CP - 6/100 CP = 329`  ...[∵ SP = ₹ 329, given]

⇒ `94/100 CP = 329`

⇒ `CP = (329 xx 100)/94`

∴ CP = ₹ 350

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Chapter 7: Comparing Quantities - Exercise [Page 198]

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NCERT Exemplar Mathematics Exemplar Class 7
Chapter 7 Comparing Quantities
Exercise | Q 19. | Page 198

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