Incomes of x and y are in the ratio 4 : 3. Their expenditure are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is = ?

Solution(By Examveda Team)

Let their income be 4x and 3x
Their savings = Rs. 3200 each
According to the question,
$$\eqalign{ & \Rightarrow \frac{{4x - 3200}}{{3x - 3200}} = \frac{{12}}{7} \cr & \Rightarrow \frac{{x - 800}}{{3x - 3200}} = \frac{3}{7} \cr & \Rightarrow 7x - 5600 = 9x - 9600 \cr & \Rightarrow 2x = 4000 \cr & \Rightarrow x = 2000 \cr & \Rightarrow {\text{A}} = 2000 \cr & \Rightarrow {\text{Income of A}} = 4x \cr & \Rightarrow 4 \times 2000 = {\text{Rs}}{\text{. }}8000 \cr} $$