Partnership Aptitude Questions and Answers
Best Practice Questions on Partnership Aptitude Questions and Answers
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Partnership - Aptitude problems on Partnership questions
1. Partnership:
When two or more than two persons run a business jointly, they are called partners and the deal is known as partnership.
2. Ratio of Divisions of Gains:
A) When investments of all the partners are for the same time, the gain or loss is distributed among the partners in the ratio of their investments.
Suppose A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:
(A's share of profit) : (B's share of profit) = x : y.
B) When investments are for different time periods, then equivalent capitals are calculated for a unit of time by taking (capital x number of units of time). Now gain or loss is divided in the ratio of these capitals.
Suppose A invests Rs. x for p months and B invests Rs. y for q months then,
(A's share of profit) : (B's share of profit)= xp : yq.
3. Working and Sleeping Partners:
A partner who manages the the business is known as a working partner and the one who simply invests the money is a sleeping partner.
Aptitude - Partnership - solved questions and answers
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.
Aptitude - Partnership - solved questions and answers
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.