Question : The ratio of Ram's salary to Shyam's salary is 3 : 4. The ratio of Shyam's salary to Ghanshyam's salary is 5 : 6. What will be the ratio of Ram's salary to Ghanshyam's salary?
Option 1: 3 : 5
Option 2: 5 : 8
Option 3: 4 : 5
Option 4: 3 : 8
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Correct Answer: 5 : 8
Solution :
Let us denote the salary of Ram by $R$, Shyam by $S$ and Ghanshyam by $G$.
According to the question,
$R:S = 3:4$
⇒ $\frac{R}{S} = \frac{3}{4}$ ....(1)
Also, $S:G = 5:6$
⇒ $\frac{S}{G} = \frac{5}{6}$ ......(2)
Multiplying (1) and (2),
$\frac{R}{S}\times \frac{S}{G} = \frac{3}{4}\times \frac{5}{6}$
⇒ $\frac{R}{G} = \frac{5}{8}$
Hence, the correct answer is 5 : 8.
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