Question

The income of A is 70% of the income of B and the expenditure of B is 20% less than the expenditure of
A. If the expenditure of A is equal to 60% of B's income, what is the ratio of savings of A and B ?​

Answer 1

Answer:

A=70. B=100

Exp A=60 B=48

10:52

5:26

Answer 2

The ratio of savings of A & B is 1/4

Step-by-step explanation:

Given:

income of A is 70% of the income of B

expenditure of B is 20% less than the expenditure of A

expenditure of A= B's income

To find:

the ratio of savings of A & B

Solution:

Let's assume B's income is y and his expenditure as x

∴ A's income= 70% of y

∴ A's income= 70/100 X y

∴ A's income= 0.7y

Expenditure of B=20% of expenditure of A-expenditure of A

x=20/100-expenditure of A

x= 0.2-expenditure of A

Expenditure of A= 0.2-x

But, A's expenditure= 60% of B's income

A's expenditure= 60/100 X y

∴ A's expenditure= 0.6y

x= 0.2-expenditure of A

B's expenditure= 0.2-0.6y

Now, let's assume B's income as Rs.100

y=100

A's income= 0.7y

                 =0.7(100)

A's income= 70

Now, A's expenditure= 0.6y

A's expenditure= 0.6(100)

A's expenditure= 60

A's savings= A's Income- A's Expenditure

A's savings= 70-60

A's savings= 10

Next, if A's income is 70 then,

70% of B's income= A's income

70/100 X B's income= 70

B's income= 70 X 100

                        70

B's income= 100

expenditure of B= 20%- expenditure of A

But the expenditure of A is equal to 60% of B's income

expenditure of B= 60% of 100

expenditure of B= 60/100 X 100

expenditure of B= 60

B's savings= B's income- B's expenditure

B's savings= 100-60

B's savings= 40

The ratio of savings of A & B is 10/40= 1/4

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