What is ‘A’ income?

The incomes of A and B are in the ratio 3:2 and their expenditure are in the ratio 5:3. If each saves Rs. 1000, A’s income is:

  1. Rs. 4000
  2. Rs. 5500
  3. Rs. 6000
  4. Rs. 3500
Monis Rasool Professor Asked on 25th October 2015 in Maths.
Add Comment
1 Answer(s)

Answer: (3) Rs. 6000

Explanation:-
The ratio of the incomes of A and B = 3: 2
Let the income of A = 3X and the income of B = 2X

The ratio of their expenditure = 5: 3
Then, let the expenditure of A = 5 Y and the expenditure of B = 3Y

If each saves Rs. 1000,
Then, 3 X – 5 Y = 1000 ……………… (1)
2 X – 3 Y = 1000      ……………. (2)
In equation (1) multiply by 2 & in equation  (2) multiply by 3,
Then, 6 X – 10 Y = 2000       ………………… (3)
6 X – 9 Y      = 3000       ……………………… (4)

Subtract equation (4) from equation (3),
Then, 6 X – 10 Y – 6 X + 9 Y = 2000 – 3000
– Y = -1000
Y = 1000

Put the value of Y in equation (1),
Then, 3 X – 5 x 1000 = 1000
3 X – 5000 = 1000
3 X = 1000 + 5000
3 X = 6000
X = 6000/3
X = 2000

Then, the income of A = 3 X = 3 x 2000
= Rs. 6000

Hence, the answer is (3) Rs. 6000.

Anurag Mishra Professor Answered on 26th October 2015.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.