This set of Aptitude Questions and Answers (MCQs) focuses on “Partnership – Set 5”.
1. A and B commenced business with 54600 rupees each. After 4 months C entered the business with an investment of 32760 rupees. Find the profit – sharing ratio after 6 months.
a) 2 : 2 : 1
b) 3 : 3 : 1
c) 4 : 4 : 1
d) 5 : 5 : 1
View Answer
Explanation: Investment of A = 54600 rupees for 6 months
Investment of B = 54600 for 6 months
Investment of C = 32760 for 2 months
Profit sharing ratio after 6 months = 54600 * 6 : 54600 * 6 : 32760 * 2 = 327600 : 327600 : 40000 = 32760 : 32760 : 6552 = 5 : 5 : 1
2. A and B started business with 1200 and 1800 rupees, respectively. C joined then after 20 days with 2400 rupees. Find their profit – sharing ratio after 50 days.
a) 12 : 15 : 10
b) 10 : 12 : 15
c) 12 : 15 : 11
d) 10 : 15 : 12
View Answer
Explanation: A’s investment = 1200 rupees for 50 days
B’s investment = 1800 rupees for 50 days
C’s investment = 2400 for 30 days
Profit sharing ratio after 50 days = 1200 * 50 : 1800 * 50 : 2400 * 30 = 60 : 90 : 72 = 10 : 15 : 12
3. A started the business with 1000 rupees. B joined him after 10 days with 2000 rupees and C joined them after 10 days further with 3000 rupees. Find their profit – sharing ratio after 30 days.
a) 2 : 3 : 2
b) 3 : 4 : 3
c) 4 : 5 : 4
d) 5 : 6 : 5
View Answer
Explanation: A’s investment = 1000 rupees for 30 days
B’s investment = 2000 for 20 days
C’s investment = 3000 for 10 days
Profit sharing ratio after 30 days = 1000 * 30 : 2000 * 20 : 3000 * 10 = 3 : 4 : 3
4. A invested 2500 in a business at the time of its commencement. B invested 4500 in the business after 5 months. C invested 18000 in the business after 3 months further. If the profit at the end of the first year was 12000 find the amount received by C.
a) 19 : 20 : 47
b) 20 : 21 : 48
c) 21 : 22 : 49
d) 22 : 23 : 50
View Answer
Explanation: The investment of A = 2500 for 12 months
The investment of B = 4500 for 7 months
The investment of C = 18000 for 4 months
The profit – sharing ratio of A to B to C = 2500 * 12 : 4500 * 7 : 18000 * 4 = 300 : 315 : 720 = 20 : 21 : 48
5. A, B and C invested in a company in the ratios 2 : 3 : 4 at a gap of 2 months, respectively. If A invested 3 months after the commencement of the business, find the profit – sharing ratio after 12 months of the commencement of the business.
a) 21 : 20 : 18
b) 12 : 21 : 20
c) 21 : 18 : 20
d) 18 : 21 : 20
View Answer
Explanation: The investments of A, B and C are in a ratio 2 : 3 : 4.
Let these ratios be in terms of x.
The investment of A = 2x for 9 months
The investment of B = 3x for 7 months
The investment of C = 4x for 5 months
The profit – sharing ratio of the partners after 12 months of the commencement of the business = 2x * 9 : 3x * 7 : 4x * 5 = 18x : 21x : 20x = 18 : 21 : 20
6. A and B started a business with 20000 and 40000, respectively. C was admitted to the business after 8 months of commencement with 120000 as investment. Find the share of profit of C in percentage.
a) 25%
b) 30%
c) 40%
d) 60%
View Answer
Explanation: Investment of A = 20000 for 12 months
Investment of B = 40000 for 12 months
Investment of C = 120000 for 4 months
Total share of C = 480000 / 1200000 * 100 = 40%
7. X and Y were partners in a firm with a capital of 2400 and 2500, respectively. C is admitted to the firm after 12 days of establishment with 4500 rupees. If the profit after a month is 1230 rupees, find the share of C.
a) 439.67 rupees
b) 436.97 rupees
c) 496.33 rupees
d) 469.33 rupees
View Answer
Explanation: The investment of X = 2400 rupees for 30 days
The investment of Y = 2500 rupees for 30 days
The investment of C = 4500 for 18 days
The profit – sharing ratio of X, Y and C = 2400 * 30 : 2500 * 30 : 4500 * 18 = 72000 : 75000 : 81000 = 24 : 25 : 27
The share of C = 1230 / 76 * 27 = 436.97 rupees
8. The profit – sharing ratio of two partners is 2 : 3 if another partner is added with 40% of the profit – sharing ratio and the profit – sharing ratio of the initial two partners remains the same. Find the new profit – sharing ratio.
a) 5 : 7 : 9
b) 6 : 7 : 9
c) 6 : 8 : 9
d) 6 : 9 : 10
View Answer
Explanation: The initial profit – sharing ratio of the two partners = 2 : 3
The new ratio:
The share of the third partner = 40%
The remaining = 60%
The ratio of the first two partners from the remaining = 2 : 3
2 : 3 from 60% = 24%, 36%
The ratio = 24 : 36 : 40 = 6 : 9 : 10
9. The profit – sharing ratio of A to B is 1 : 4. If C is admitted to the partnership with a profit – sharing percentage of 50%, find the new profit – sharing ratio.
a) 1 : 4 : 5
b) 1 : 4 : 3
c) 1 : 4 : 6
d) 1 : 4 : 4
View Answer
Explanation: The initial profit – sharing ratio = 1 : 4
The profit guaranteed to the third partner = 50% profit
The new profit – sharing ratio:
New ratio of A to B = 1 : 4 of the remaining 50%
A : B : C = 10 : 40 : 50 = 1 : 4 : 5
10. X and Y were partners with a profit – sharing ratio of 4 : 3. If Z is admitted to the firm with 30% profit sharing percentage, find the new profit – sharing ratio.
a) 2 : 4 : 4
b) 3 : 4 : 4
c) 4 : 3 : 3
d) 4 : 5 : 5
View Answer
Explanation: The initial ratio = 4 : 3
The percentage of Z = 30%
The remaining percentage = 70%
The ratio of division of remaining 70% = 4 : 3 = 40% and 30%
The new ratio = 40 : 30 : 30 = 4 : 3 : 3
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