X, Y and Z enter into a partnership. X invests some money at the beginning. Y Invests thrice the amount of X after 4 months and Z invest double the amount of Y after 9 months from the beginning. If the annual gain be Rs. 450000, then what is the share of Y?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 200000.
Let the amount invested by X be x.
Y's investment = 3x
Z's investment = 2 × 3x = 6x
the effective investments = terms of money × the number of months
X's effective investment = x × 12 = 12x
Y's effective investment = 3x × 8 = 24x
Z's effective investment = 6x × 3 = 18x
The ratio of their investments is = X : Y : Z = 12x : 24x : 18x
⇒ X : Y : Z = 2 : 4 : 3
The total profit = Rs. 4,50,000.
The ratio of Y's share = 4/(2 + 4 + 3) = 4/9
Y's share in the profit = 4/9 × 4,50,000 = 4 × 50,000 = 2,00,000 Rs.