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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