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:
7000
Given:
The amount of ₹159250 is divided among A, B, C, and D in such a way that the ratio of A's and B's shares is 1 : 3, the ratio of B's and C's shares is 2 : 5, and the ratio of C's and D's shares is 2 : 3.
Calculation:
A : B = 1 : 3 = 2 : 6
B : C = 2 : 5 = 6 : 15
C : D = 2 : 3 = 15 : 22.5
Therefore,
A : B : C : D
⇒ 2 : 6 : 15 : 22.5
⇒ 20 : 60 : 150 : 225
⇒ 4 : 12 : 30 : 45
Now, A's share = 159250 × 4/(4 + 12 + 30 + 45)
⇒ 159250 × 4/91 = ₹7000
∴ A's share is ₹7000.
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 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:
A, B and C are partners in a business with a total capital of Rs. 33,000. The profit at the end of the year is Rs. 1 5,000 that is to be divided in proportion to their capitals. A receives Rs. 4,500 and B receives Rs. 5,500 as their shares in profit. Find C's capital (in Rs.).
