Question : If A's wealth is $\frac{4}{9}$ times of B's and C's is $\frac{7}{6}$ times of B's. What is the ratio of C's wealth to A's?
Option 1: 8:21
Option 2: 21:8
Option 3: 27:14
Option 4: 14:27
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Correct Answer: 21:8
Solution :
Given: A's wealth is $\frac{4}{9}$ times of B.
C's wealth is $\frac{7}{6}$ times of B.
⇒ A's wealth = B's wealth × $\frac{4}{9}$
⇒ C's wealth = B's wealth × $\frac{7}{6}$
Ratio of C's wealth to A's wealth = $\frac{\frac{7}{6}}{\frac{4}{9}}$
$⇒\frac{21}{8}$
⇒ 21:8
Therefore, option 2 is correct.
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