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 and C invest in a business in the ratio 4 ∶ 5 ∶ 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?
Sumit, Ravi and Puneet invest Rs. 45000, Rs. 81000 and Rs. 90000 respectively to start a business. At the end of the year the total profit is Rs. 4800. 30% of the total profit gives in charity and rest is divided among them. What will be the share of Sumit?
A sum of ₹ 159250 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. The share (in ₹) of A is:
A and B start a business by investing Rs. 1,00,000 and Rs. 1,50,000 respectively. Find the respective share of each out of a total profit of Rs. 24, 000.
Two partners A and B have started business with the capitals of Rs. 6,000 and Rs. 8,000 respectively. If they made profit of Rs. 5,600 then the share (in Rs.) of A is:
