Question

If the ratio of the salaries of A and B at the end of the year 2002 was 3:4, then what was the ratio of their salaries at the end of the year 2008?

• A. 2:33
• B. 3:42
• C. 5:66
• D. 4:51
• E. 75:104

Answer 1

The correct option is E 75:104

Let the salaries of A and B at the end of the year 2002 be Rs 3x and Rs 4x, respectively. Then, salary of A at the end of 2008 = 120% of 125 of 130% of 120% of 110% of 110% of 3x and salary of B at the end of 2008 = 110% of 110% of 120% of 120% of 130% of 130% of 4x. Thus, required ratio $=\frac{120\times 125\times 130\times 120\times 110\times 110\times 3x}{110\times 110\times 120\times 120\times 130\times 130\times 4x}$
$=\frac{125\times 3}{130\times 4}=\frac{25\times 3}{26\times 4}=75:104$