Ratio and Proportion - Arithmetic Aptitude Questions and Answers

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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:

Answer : Option B

Explanation :

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

A : B = 2 : 3 and B : C = 5 : 8 =[5 x \( \frac { 3 } { 5 } \)] : [ 8 x \( \frac { 3 } { 5 } \)] =3: \(\frac { 24 } {5 } \)

A : B : C = 2 : 3 :\(\frac { 24 } {5 } \)= 10:15:24

B =[98 x \(\frac { 15 } { 49 } \)] =30

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