Question : If $\frac{2}{3}$ of A = 75% of B = 0.6 of C, then $A:B:C$ is:
Option 1: $2:3:3$
Option 2: $3:4:5$
Option 3: $4:5:6$
Option 4: $9:8:10$
Correct Answer: $9:8:10$
Solution :
Given: $\frac{2}{3}$ of A = 75% of B = 0.6 of C
Here, $\frac{2}{3}$ of A = 75% of B
⇒ $\frac{2A}{3}=\frac{75B}{100}$
⇒ $\frac{A}{B}=\frac{9}{8}$
Let A and B be 9 and 8 respectively.
Now, 75% of B = 0.6 of C
⇒ $\frac{75B}{100}=\frac{6C}{10}$
⇒ $\frac{B}{C} =\frac{4}{5} =\frac{8}{10}$
So, $A:B: C = 9:8:10$
Hence, the correct answer is $9:8:10$.
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