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Ratio and Proportion

Q1: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

A 20

B 30

C 48

D 58

ANS:B - 30

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = 5 x 3 : 8 x 3 = 3 : 24
5 5 5
A : B : C = 2 : 3 : 24 = 10 : 15 : 24
5
B = 98 x 15 = 30.
49



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