The ratio of the incomes of A and B is 7 : 5. A and B save Rs. 4,000 and Rs.3,500, respectively. If the expenditure of B is half the expenditure of A, then the total income of A and B (in Rs.) will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Rs.12,000.
Concept USed:
Income = Expenditure + savings
Explanation:
Let the incomes of A and B be 7x and 5x respectively.
Now Expenditure of A = 7x - 4000
And expenditure of B = 5x - 3500
Now according to the given question,
Expenditure of B = ½ × Expenditure of A
⇒ 5x - 3500 = ½ × (7x - 4000)
⇒ 10x - 7000 = 7x - 4000
⇒ 3x = 3000
⇒ x = 1000
So, the total income of A and B = 7x + 5x = 12x = 12000
Hence the required answer is Rs. 12000.