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 a month from the beginning. If the annual gain be Rs. 450000, then what is the share of Y?
200000
Let X invest an amount X at the beginning for the full 12 months, giving a capital-time product of \(X \times 12 = 12X\).
Y invests \(3X\) starting 4 months after the beginning, so Y's money remains invested for \(12 - 4 = 8\) months, giving \(3X \times 8 = 24X\).
Z invests double Y's amount, that is \(6X\), starting 9 months after the beginning, so Z's money remains invested for \(12 - 9 = 3\) months, giving \(6X \times 3 = 18X\).
The profit-sharing ratio is \(12X : 24X : 18X = 2 : 4 : 3\), with total parts \(9\). Y's share is \(450000 \times \frac{4}{9} = 200000\).
Important Questions from Partnership
Kiran, Vimal and Naveen started a business by investing Rs. 1,35,000, Rs. 1,50,000 and Rs. 1,65,000 respectively. Find the share of each (respectively), out of an annual profit of Rs. 60,000.
When the incoming partner cannot bring premium for goodwill, then the necessary adjustment for goodwill is done through which one of the following?
Which one of the following rights is usually not available to a partner consequent to the dissolution of a firm?
A, B, C invest Rs. 20000, Rs. 30000, Rs. 40000 in a business. After one year, A withdrew his money but B and C continued for one more year. If the net profit after 2 years be Rs. 32000, then A’s share in the profit is:
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs. 20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
