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Partnership - Aptitude MCQ Questions and Solutions with Explanations

Partnership MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Partnership with easy and logical explanations. Partnership MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-7 section-1

Each section contains 100 MCQs on Partnership .
61
A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
Discuss
Answer & Solution
Answer: Option D
Solution:
A : B : C
= (25 lakhs × 1 + 35 lakhs × 2) : (35 lakhs × 2 + 25 lakhs × 1) : (30 lakhs × 3)
= 95 lakhs : 95 lakhs : 90 lakhs
= 19 : 19 : 18
62
Subhash starts a business by investing Rs. 25000. 6 months later Aditya joins him by investing Rs. 15000. After another 6 months Aditya invests an additional amount of Rs. 15000. At the end of 3 years they earn a profit of Rs. 247000. What is Aditya's share in the profit ?
Discuss
Answer & Solution
Answer: Option E
Solution:
$$\eqalign{ & {\text{Subhas}}:{\text{Aditya}} \cr & = \left( {25000 \times 36} \right):\left( {15000 \times 6 + 30000 \times 24} \right) \cr & = 900000:810000 \cr & = 10:9 \cr & \therefore {\text{Aditya's share}} \cr & \Rightarrow {\text{Rs}}{\text{.}}\left( {247000 \times \frac{9}{{19}}} \right) \cr & \Rightarrow {\text{Rs}}{\text{.117000}} \cr} $$
63
A, B and C enter into a partnership with capitals in the ratio 5 : 6 : 8. At the end of the business term, they received the profit in the ratio 5 : 3 : 12. Find the ratio of time for which they contributed their capitals ?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & {\text{Here}}\,{{\text{p}}_1}:{{\text{p}}_2}:{{\text{p}}_3} = 5:3:12 \cr & {\text{and}}\,{{\text{x}}_1}:{{\text{x}}_2}:{{\text{x}}_3} = 5:6:8 \cr & {\text{According}}\,{\text{to}}\,{\text{the}}\,{\text{formula}} \cr & {\text{Required}}\,{\text{ratio}} \cr & = \frac{{{{\text{p}}_1}}}{{{{\text{x}}_1}}}:\frac{{{{\text{p}}_2}}}{{{{\text{x}}_2}}}:\frac{{{{\text{p}}_3}}}{{{{\text{x}}_3}}} \cr & = \frac{5}{5}:\frac{3}{6}:\frac{{12}}{8} \cr & = 1:\frac{1}{2}:\frac{3}{2} \cr & = 2:1:3 \cr & \cr & {\bf{Alternate:}} \cr & {\text{Profit}} = {\text{Time}} \times {\text{Capital invested}} \cr & {\text{Time}} = \frac{{{\text{Profit}}}}{{{\text{Capital invested}}}} \cr & {\text{Required ratio of time}} \cr & = \frac{5}{6}:\frac{3}{6}:\frac{{12}}{8} \cr & = 1:\frac{1}{2}:\frac{3}{2} \cr & = 2:1:3 \cr} $$
64
X and Z invest capital in the ratio of 2 : 1 while X and Y invest capital in the ratio of 3 : 2. If their annual profit is Rs. 157300 then what is Y share ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Given
X : Z = 2 : 1
X : Y = 3 : 2

X : Z = 2 : 1 (multiply with 3)
X : Y = 3 : 2 (multiply with 2)

i.e X : Z = 6 : 3
X : Y = 6 : 4

 ∴ X : Y : Z = 6 : 4 : 3
According to the question
(6 + 4 + 3) units = Rs.157300
13 units = Rs.157300
1 unit = Rs.12100
4 units = Rs.12100 × 4 = Rs. 48400
∴ Share of Y = Rs. 48400
65
A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?
Discuss
Answer & Solution
Answer: Option B
Solution:
A : B : C
(5000 × 4 + 2500 × 8) : (4500 × 6 + 3000 × 6) : (7000 × 6)
= 40000 : 45000 : 42000
= 40 : 45 : 42
$$\eqalign{ & \therefore {\text{A's share}} \cr & = {\text{Rs}}{\text{.}}\left( {5080 \times \frac{{40}}{{127}}} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{1600}} \cr & \therefore {\text{B's share}} \cr & = {\text{Rs}}{\text{.}}\left( {5080 \times \frac{{45}}{{127}}} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{1800}} \cr & \therefore {\text{C's share}} \cr & = {\text{Rs}}{\text{.}}\left( {5080 \times \frac{{42}}{{127}}} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{1680}} \cr} $$
66
A, B and C subscribe Rs. 50000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35000, A receives ?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Let C}} = x \cr & {\text{Then, B}} = x + 5000{\text{ and}} \cr & {\text{A}} = x + 5000 + 4000 = x + 9000 \cr & {\text{So, }} \cr & \Rightarrow x + x + 5000 + x + 9000 = 50000 \cr & \Rightarrow 3x = 36000 \cr & \Rightarrow x = 12000 \cr & \therefore {\text{A}}:{\text{B}}:{\text{C}} \cr & = 21000:17000:12000 \cr & = 21:17:12 \cr & \therefore {\text{A's share}} \cr & = {\text{Rs}}{\text{.}}\left( {35000 \times \frac{{21}}{{50}}} \right) \cr & = {\text{Rs.}}{\text{14700}} \cr} $$
67
A, B and C are three partners. They altogether invested Rs. 14000 in business. At the end of the year, A got Rs. 337.50, B Rs. 1125 and C Rs. 637.50 as profit. The difference between the investments of B and A was ?
Discuss
Answer & Solution
Answer: Option D
Solution:
Ratio of investments of A, B and C = Ratio of their profits
$$\eqalign{ & = 337.50:1125:637.50 \cr & = 9:30:17 \cr & \therefore {\text{A's investment}} \cr & = {\text{Rs}}{\text{.}}\left( {14000 \times \frac{9}{{56}}} \right) \cr & = {\text{Rs. }}{\text{2250}} \cr & {\text{B's investment}} \cr & = {\text{Rs}}{\text{.}}\left( {14000 \times \frac{{30}}{{56}}} \right) \cr & = {\text{Rs. }}{\text{7500}} \cr & {\text{Hence, required difference}} \cr & = {\text{Rs}}{\text{.}}\left( {7500 - 2250} \right) \cr & = {\text{Rs. }}{\text{5250}} \cr} $$
68
A and B are two partners in a firm sharing the profit in the ratio 4 : 5. If the firm earns a profit of Rs. 14130, then profit to be received by B ?
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{A}}:{\text{B}} \cr & 4:{\text{ }}5 \cr & {\text{According to the question,}} \cr & \left( {4 + 5} \right){\text{units}} = {\text{Rs}}{\text{. 14130}} \cr & {\text{1 unit}} = \frac{{14130}}{9} = {\text{Rs}}{\text{. }}1570 \cr & 5{\text{ units}} = 5 \times 1570 = {\text{Rs}}{\text{. 7850}} \cr & \therefore {\text{Hence share of B}} = {\text{Rs}}{\text{. 7850}} \cr} $$
69
A and B started a business investing amounts in the ratio of 2 : 3. If A has invested an additional amount of Rs. 10000, their ratio of investment would have been 3 : 2. The amount invested by A was ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Initial ratio of investments by A and B = 2 : 3
Let their respective investments are 2x and 3x
According to the question,
If A added Rs. 10000 to his investment
Then the new ratio = 3 : 2
$$\eqalign{ & \Rightarrow \frac{{2x + 10000}}{{3x}} = \frac{3}{2} \cr & \Rightarrow 4x + 20000 = 9x \cr & \Rightarrow 5x = 20000 \cr & \Rightarrow x = 4000 \cr} $$
Original investment by A = 2 × 4000 = Rs. 8000
70
A, B and C started a business investing amounts in the ratio of 5 : 6 : 8 respectively. After one year, C withdrew 50% of the amount and A invested an additional amount of 60% of the original amount invested by him. In what ratio, the profit earned at the end of 2 years should be distributed among A, B and C respectively ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the initial investments of A, B and C be Rs. 5x, Rs. 6x and Rs. 8x respectively
Then, A : B : C
[5x × 12 + (160% of 5x) × 12] : (6x × 24) : (8x × 12 + 4x × 12)
= 156x : 144x : 144x
= 13 : 12 : 12