Solved Questions and Answers for Partnership

1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
A. Rs.14400
B. Rs.26400
C. Rs.12000
D. Rs.12500
Explanation :
Ratio of the investment = 21000 : 17500
                                   = 210 : 175
                                   = 42 : 35
                                   = 6 : 5
Share of X in the profit = 26400 * (6/11)
                                    = 2400 * 6
                                    = 14400

2. A,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500
A. 10500, 13500, 19500
B. 10500, 13500, 18500
C. 10500, 13500, 17500
D. 10500, 13500, 16500
Explanation:
A:B:C = 35000:45000:55000 = 7:9:11

A's share = (7/27) *40500 = Rs 10500
B's share = (9/27) *40500 = Rs 13500
C's share = (11/27)*40500 = Rs 16500

3. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C
A. 3:7:5
B. 6:10:5
C. 6:10:7
D. 6:7:5
Explanation:
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A:B:C = (3x*12):(5x*12):(5x*6)
          = 36:60:30
          = 6:10:5

4. A, B and C start a business each investing Rs. 20,000. After 5 months A withdrew Rs. 5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.Explanation:
Ratio of the capitals of A, B and C
= 20000 * 5 + 15000 * 7 : 20000 * 5 + 16000 * 7 : 20000 * 5 + 26000 * 7
205000 : 212000 : 282000 = 205 : 212 : 282.
A’s share = Rs. [69900 * 205/699] = Rs. 20500;
B’s share = Rs. [69900 * 212/699] = Rs. 21200;
C’s share = Rs. [69900 * 282/699] = Rs. 28200.

5. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
A.    3 : 5 : 2   
B.    3 : 5 : 5
C.    6 : 10 : 5   
D.    Data inadequate
Explanation:

Let the initial investments of A and B be 3x and 5x.
A : B : C = (3x x 12) : (5x x 12) : (5x x 6)
               = 36 : 60 : 30
               = 6 : 10 : 5.