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
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:
Adesh and Bhadresh are partners sharing profits and losses in the ratio of 3 ∶ 2. Chandresh is admitted for 20% of share in profits out of which half of the share was gifted by Adesh and remaining was acquired by Chandresh from Adesh and Bhadresh in equal proportion. What would be new profit-sharing ratio?
Mathur started a business by investing R6,76,000 as capital. After 4 months, Goyal joined the business by investing a capital of Rs. 5,07,000. A total of Rs. 2,60,000 including 25% of the total profit was given to Goyal for conducting business at the end of the year. How much profit Mathur will get?
Mannu and Bhanu are partners. Bhanu wants to admit his son Channu into business. Can Channu become the partner of the firm?
L, S and D are partners sharing profits in the ratio of \(\frac{2}{5},\frac{3}{7}\) and \(\frac{3}{10}\). If S retires from the firm, what will be the gain ratio of L
