Question

A sum of rs 9000 divided among A, B and C such that ratio of A's shares and B's shares is 5:2 and that of B's shares to C's share is 7:13. What is the share of B?

Answer 1

share of A.B.C =35.14.26
SO DIVIDEND WILL BE 4200,1680,1456
FIRST OF ALL FOR CALCULATING RATIO DERIVE IT BY THIS METHOD,
A's ratio/B's ratio=B's ratio/C's ratio,
that will be 5/2=7/13
then multiply them by forming "Z" like structure by this 5×7:7×2:2×13
so this will help to derive ur ratio.....Good Luck

Answer 2

Given: 

Ratio of A &  B's share= 5:2

A:B=5:2

Ratio of B  &  C's share=7:13

B:C=7:13

A:B:C= 5: 2 :: 7×2/7 : 13×2/7      
 (we have to make B same by multipying B:C by 2/7 ) 

A:B:C= 5: 2 :: 26/7 

l.c.m =7

A:B:C= 35: 14:26

sum of ratio = 35+14+26= 75

B' share = (14/ 75) × 9000

B' share = 14×120= 1680
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B' share = Rs. 1680

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Hope this will help you.....