Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years is -

Answer: Option B

Let income in the first year be Rs. x
And
expenses in the second year be Rs. y
Then,
$$\begin{array}{rl}& =\frac{x}{45000}=\frac{2}{3}\text{and }\frac{25000}{y}=\frac{5}{9}\\ & \Rightarrow x=\frac{2\times 45000}{3}=30000\text{and}\\ & y=\frac{25000\times 9}{5}=45000\end{array}$$
∴ Total savings for 2 years
= Rs. [(30000 - 25000) + (45000 - 45000)]
= Rs. 5000