The incomes of A and B are in the ratio 3:5 and their savings are ₹14,000 and ₹20,000, respectively. If the ratio of their expenditures is 4:7, then the income (in ₹) of A is:

Let the incomes of A and B be 3x and 5x, respectively.
We know that:

Expenditure=Income−Savings
Expenditure of A = 3x−14000

Expenditure of B = 5x−20000

The ratio of their expenditures is given as 4:7:

5x−20000
3x−14000
​
=
7
4
​

Cross-multiply to solve for x:
$$7(3x-14000)=4(5x-20000)$$
21x - 98000 = 20x - 80000
$$
$$21x-20x=98000-80000$$
$$x=18000$$

Now, find the income of A:
$$\text{Income of A}=3x=3\times 18000=\text{₹}42,000$$