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On a shelf, books with green cover and that with brown cover are in the ratio 2 : 3. If there are 18 books with green cover, then the number of books with brown cover is ______. - Mathematics

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Question

On a shelf, books with green cover and that with brown cover are in the ratio 2 : 3. If there are 18 books with green cover, then the number of books with brown cover is ______.

Options

  • 12

  • 24

  • 27

  • 36

MCQ
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Solution

On a shelf, books with green cover and that with brown cover are in the ratio 2 : 3. If there are 18 books with green cover, then the number of books with brown cover is 27.

Explanation:

Given, Ratio of books with green cover to books with brown cover = 2 : 3

Books with green cover = 18

Let the books with green cover and brown cover are 2x and 3x respectively.

Given, 2x = 18

⇒ x = `18/2`

⇒ x = 9

Thus, the books with brown cover = 3x

= 3 × 9

= 27

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Chapter 8: Ratio and Proportion - Exercise [Page 121]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 8 Ratio and Proportion
Exercise | Q 7. | Page 121
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