## The ratio of income of A and B is 5:4 and ratio of expenditure is 3:2. If B saves one third of his income. Find the ratio of their savings.​

Question

The ratio of income of A and B is 5:4 and ratio of expenditure is 3:2. If B saves one third of his income. Find the ratio of their savings.​

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1 month 2021-08-19T06:06:43+00:00 1 Answer 0 views 0

Given – A : b

Inc – 5 : 4

Exp – 3 : 2

also its given that B saves 1/3 of his income, hence spend the 2/3 of his income.

we know that if we multiply of divide ration by common factor than ration remains same, so we can multiply income ratio by 3 as B save 1/3 of his income

multiply by 3 – A : B = 15 : 12 ( A- 5*3= 15, B – 4*3 =12)

out od income 12 B spent 8 (2/3) and saving is 4 . now we need to balance the ratio of expenditure as we know B spent 8 so we can multiply expenditure by 4 (B expe- 2*4=8, A expe- 3*4=12)

now new ration will be

———— A : B

Income 15 : 12

Expen – 12 : 8

saving – 3 : 4 ( Saving = Income- Expen)