Question : If P : Q : R = 4 : 7 : 9 and R : S = 2 : 5, then what is the value of P : S?
Option 1: 8 : 45
Option 2: 1 : 5
Option 3: 9 : 57
Option 4: 10 : 43
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Correct Answer: 8 : 45
Solution : Given, P : Q : R = 4 : 7 : 9 and R : S = 2 : 5 According to the question, (from the given ratios) ⇒ P : S = $\frac{P}{R}$ × $\frac{R}{S}$ = $\frac{4}{9}$ × $\frac{2}{5}$ = $\frac{8}{45}$ = 8 : 45 Hence, the correct answer is 8 : 45.
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