Question

The ratio of earnings to expenditure of A is 5:3 and
that of B is 7:6. If the savings of A is twice that of B,
then what could be the ratio of total earnings of
A and B together to the total expenditure of A and
B together?
(A) 4:3 (B) 3:5 (C) 5:3 (D) 2:1​

Answer 1

Given : The ratio of earnings to expenditure of A is 5:3 and  that of B is 7:6. the savings of A is twice that of B,

To find : what could be the ratio of total earnings of  A and B together to the total expenditure of A and  B together?

Solution:

Let say Earning of A is   5A

then expenditure is  3A

Saving is 5A - 3A = 2A

Let say Earning of B is   7B

then expenditure is  6B

Saving is 7B - 6B = B

savings of A is twice that of B,

=> 2A  =  2(B)

=> A = B

Total earning of A & B  together = 5A + 7B = 5A + 7A = 12A

Total expenditure of A and  B together = 3A + 6B = 3A + 6A = 9A

12A : 9A

= 4 : 3

optionA  )  4 : 3 is the correct answer

4 :3 can be could be the ratio of total earnings of  A and B together to the total expenditure of A and  B together

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