The ratio of incomes of A and B is 7:5 and the ratio of their expenditures is 3:2. If both save ₹4000 per month, what is A’s income?
Show answer & explanation
Correct answer: A
Explanation
Has been given :
Income of A : B = 7 : 5
Expenses of A : B = 3 : 2
Savings of both = ₹4000 per month
According to the formula:
Savings = Income – Expenses
assume
Income of A = 7x, Income of B = 5x
A's expense = 3y, B's expense = 2y
Savings of A:
7x − 3y = 4000
Savings of B :
5x − 2y = 4000
Now the difference between both the equations:
(7x − 3y) − (5x − 2y) = 0
2x − y = 0
y = 2x
Now,
5x − 2y = 4000
5x − 2(2x) = 4000
5x − 4x = 4000
x = 4000
A's income = 7x = 7 × 4000 = ₹28000