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
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)