Ratios & Proportion
Aptitude

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Q.

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

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Solution:
Option(B) is correct

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

 \(\begin{align*} A:B=2:3\text{ and }B:C=5:8=5\times \dfrac{3}{5}:8\times \dfrac{3}{5}&=3:\dfrac{24}{5}\\ \Rightarrow A:B:C=2:3:\dfrac{24}{5}=10:15:24\\ \Rightarrow B=98\times \dfrac{15}{49}=30 \end{align*}\)


(2) Comment(s)


Komuraiah
 ()

$A:B= 2:3$

$B:C= 5:8$

__________

$10:15:24$

$A:B:C=10:15:24$

$B=98\times \dfrac{15}{49}$

$B=2 \times 15=30$


Brenden
 ()

How is it different from the solution provided? Sure you have avoided the fractional values.