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 -

A. Nil

B. Rs. 5000

C. Rs. 10000

D. Rs. 15000

Answer: Option B

Solution(By Examveda Team)

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