In shelf, the book with green cover and that with brown cover are in the ratio $2 : 3$ there are $18$ books with green cover, then the number of books with brown cover is ?

12

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24

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27

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36

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Solution

The correct option is D $27$
$L e t t h e c o m m o n m u l t i p l e o f 2 a n d 3 b e x . t h e n :$

$r a t i o = 2 x : 3 x$

$i t i s g i v e n t h a t b o o k s w i t h g r e e n c o l o r a r e 18 i n n u m b e r .$

$T h e r a t i o i s 2 x .$

$S o w e c o m e t o k n o w t h a t : 2 x = 18$

$x = \frac{18}{2} = 9$

$I f x = 9, t h e b o o k s w i t h g r e e n c o v e r = 3 x = 3 \times 9 = 27$

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In shelf, the book with green cover and that with brown cover are in the ratio 2:3 there are 18 books with green cover, then the number of books with brown cover is ?

The correct option is D 27Letthecommonmultipleof2and3bex.then:ratio=2x:3xitisgiventhatbookswithgreencolorare18innumber.Theratiois2x.Sowecometoknowthat:2x=18x=182=9Ifx=9,thebookswithgreencover=3x=3×9=27

In shelf, the book with green cover and that with brown cover are in the ratio $2 : 3$ there are $18$ books with green cover, then the number of books with brown cover is ?