Question : 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 is INR 4,50,000, then what is the share of Y?
Option 1: INR 2,00,000
Option 2: INR 1,50,000
Option 3: INR 1,00,000
Option 4: INR 3,00,000
Correct Answer: INR 2,00,000
Solution :
Let $x$ be the amount invested by X.
Investment ratio
= $x ×12 : 3x×8 : 6x×3$
= 12 : 24 : 18
= 2 : 4 : 3
Their investment ratio = Ratio of their profit share.= 2 : 4 : 3
Total gain = INR 450000
Share of Y = $\frac{4}{2+4+3}$ × 4,50,000
= 4 × 50,000
= INR 2,00,000
Hence, the correct answer is INR 2,00,000.
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