Question : The salaries of A, B, and C are in the ratio of $\frac{3}{2}: \frac{6}{5}: \frac{4}{3}$. The salary of A and B together is Rs. 40,500. By what percentage is the salary of A more than that of C?
Option 1: 12%
Option 2: 13%
Option 3: 11.5%
Option 4: 12.5%
Correct Answer: 12.5%
Solution :
The ratio of the salaries of A, B, and C is given as $\frac{3}{2}: \frac{6}{5}: \frac{4}{3}$.
We can simplify this ratio by multiplying all terms by 30 to get the ratio as 45 : 36 : 40.
Let the salary of A and C are 45$x$ and 40$x$ respectively.
The percentage by which the salary of A is more than that of C = $\frac{45x - 40x}{40x}$ × 100 = 12.5%
Hence, the correct answer is 12.5%.
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