The Income of Arjun is 2/3 of Rajan's income and the expenditure of Arjun is 3/4 of Rajan's expendit

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08 Sep 2022 Ratio and Proportion

The Income of Arjun is 2/3 of Rajan's income and the expenditure of Arjun is 3/4 of Rajan's expenditure. If 1/3 of the income of Rajan is equal to the expenditure of Arjun, then the ratio of the savings of Arjun to that of Rajan is

OPtion

1) 5:3
2) 9:4
3) 2:3
4) 2:5
5) 3:5
6) 7:2
7) 4:5
8) 1:4
9) 2:7
10) None of these

Solution

Let Rajan's income=x, then Arjun's income=(2/3)*x
Let expenditure of Rajan=y, then Arjun's expenditure=(3/4)*y
Given, 1/3 of the income of Rajan is equal to the expenditure of Arjun ⇒ (1/3)*x = (3/4)*y
.'. x/y = 9/4 or y = (4/9)*x
Ratio of savings of Arjun & Rajan = [(2/3)*x - (3/4)*y] : [x - y]
= [(2/3)*x - (3/4)*(4/9)*x] : [x - (4/9)*x]
= 3 : 5
Correct Option 5)

Correct Option: 5 Best Solution (1)

G.S.Kantharao   2 years AGO

Let Arjun & Rajan's Incomes are =x,y
x=2y/3
Expenditure of Arjun=y/3
Expenditure of Rajan = (y/3)*(4/3)=4y/9
Savings of Arjun and Rajan are
=(2y/3)-y/3),(y-4y/9)=y/3:5y/9=3:5
My option is 5👈

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