Ratio of earnings of A and B is 8 : 9 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 16 : 9 respectively. What are A's earnings?

A. Rs. 22000

B. Rs. 28500

C. Rs. 37000

D. Cannot be determine

E. None of these

Answer: Option D

Solution(By Examveda Team)

Let the earnings of A and B Rs. 8x and Rs. 9x respectively.
Then,
$$\eqalign{ & = \frac{{150\% {\text{ of }}8x}}{{75\% {\text{ of }}9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{\frac{3}{2} \times 8x}}{{\frac{3}{4} \times 9x}} = \frac{{16}}{9} \cr & \Rightarrow \frac{{16}}{9} = \frac{{16}}{9} \cr} $$
Hence, A's earnings cannot be determined