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Question
Incomes or Mr. Shah, Mr. Patel and Mr. Mehta are ln the ratio 1 : 2 : 3, while their expenditures are in the ratio 2 : 3 : 4. if Mr. Shah saves 20% or his lncome, find the ratio of their savings.
Solution
Given ratio of incomes of Mr. shah. Mr patel. Mr mehta is 1 : 2 : 3
Their incomes are x, 2x, 3x respectively where x is constant. Also ratio of their expenditure is 2 : 3 : 4.
Their expenditure are 2y, 3y, 4y respectively where y is constant.
But Mr. Shah saves 20% of his income.
x - y = `20/100`x
`x - x/5` = 2y
`y = 2/5`x
Mr. Shah's savings = x - 2y
= x - 2 `(2/5 x)`
= `1/5x`
Mr. Patels savings = 2x - 3y
= `2x - 3 (2/5 x)`
= `4/5x`
Mr. Mehta's savings = 3x - 4y
= `3x - 4 `(2/5x)
= `7/5x`
Ratio of their savings is `1/5x : 4/5x : 7/5x`
i.e 1 : 4 : 7
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