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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-4 section-1

Each section contains 100 MCQs on Partnership .
31
Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
Discuss
Answer & Solution
Answer: Option D
Solution:
Just take care of the months of investment, rest all will be simple.
Yogesh : Pranab : Atul
= 45000 × 12 : 60000 × 9 : 90000 × 3
= 2 : 2 : 1
Atul's share
$$\eqalign{ & = {\text{Rs}}{\text{. }}20000 \times \frac{1}{5} \cr & = {\text{Rs}}{\text{. }}4000 \cr} $$
32
Rahul and Bharti are partners in a business. Rahul contributes $$\frac{1}{4}$$th capital for 15 months and Bharti received $$\frac{2}{3}$$ of profit. For how long Bharti money was used.
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{total}}\,{\text{profit}}\,{\text{be}}\,Rs.\,Z \cr & {\text{Bharti's}}\,{\text{share}} = {\frac{2}{3}} Z \cr & {\text{Rahul's}}\,{\text{share}} = Z - {\frac{2}{3}} Z \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{Z}{3} \cr & {\text{Rahul:Bharti}} \cr & = \frac{Z}{3}: {\frac{2}{3}} Z = 1:2 \cr & {\text{Now}}\,{\text{let}}\,{\text{the}}\,{\text{total}}\,{\text{capital}}\,{\text{be}}\,Rs\,X, \cr & {\text{and}}\,{\text{Bharti}}\,{\text{capital}}\,{\text{was}}\,{\text{used}}\,{\text{for}}\,Y\,{\text{months}}. \cr & {\text{then,}}\,{\text{Rahul}}\,{\text{capital}}\,{\text{will}}\,{\text{be}}\, {\frac{1}{4}} X \cr & {\text{and}}\,{\text{Bharti}}\,{\text{capital}}\,{\text{will}}\,{\text{be}}\,X - {\frac{1}{4}} X \cr & = \frac{{3X}}{4} \cr & \frac{{\frac{1}{4}X*15}}{{\frac{3}{4}X*Y}} = \frac{1}{2} \cr & Y = \frac{{15*2}}{3} = 10 \cr & {\text{So,}}\,{\text{Bharti's}}\,{\text{money}}\,{\text{was}}\,{\text{used}}\,{\text{for}}\,{\text{10}}\,{\text{months}} \cr} $$
33
P and Q started a business investing Rs. 85000 and Rs. 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
Discuss
Answer & Solution
Answer: Option B
Solution:
In this type of question as time frame for both investors is equal then just get the ratio of their investments.
P : Q = 85000 : 15000
= 85 : 15
= 17 : 3
34
A, B and C enter into a partnership investing Rs 35000, Rs 45000 and Rs 55000 resp. The respective share of A,B and C in an annual profit of Rs 40500 are.
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & A:B:C \cr & = 35000:45000:55000 \cr & = 7:9:11 \cr & {\text{Now}}\,{\text{we}}\,{\text{are}}\,{\text{having}}\,{\text{the}}\,{\text{ratio}}{\text{.}} \cr & {\text{to}}\,{\text{get}}\,{\text{the}}\,{\text{share,}}\,{\text{first}}\,{\text{make}}\,{\text{total}}\,{\text{of}}\,{\text{above}}\,{\text{ratio}}{\text{.}} \cr & {\text{then}}\,{\text{get}}\,{\text{each}}\,{\text{share}}{\text{.}} \cr & {\text{A's}}\,{\text{Share}} = 40500*\frac{7}{{27}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,10500 \cr & {\text{B's}}\,{\text{Share}} = 40500*\frac{9}{{27}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,13500 \cr & {\text{C's}}\,{\text{Share}} = 40500*\frac{{11}}{{27}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,16500\, \cr} $$
35
Rahul, Arun and Sumit started a business. Rahul invested $$\frac{1}{2}$$ part, Arun $$\frac{1}{3}$$ part and rest of the capital was invested by Sumit. The ratio of their profits will be = ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let total capital be Rs. x
$$\eqalign{ & {\text{Then,}} \cr & {\text{Rahul's share}} \cr & = {\text{Rs}}{\text{.}}\frac{x}{2} \cr & {\text{Arun's share}} = {\text{Rs}}{\text{.}}\frac{x}{3} \cr & {\text{Sumit's share}} \cr & = {\text{Rs}}{\text{.}}\left[ {x - \left( {\frac{x}{2} + \frac{x}{3}} \right)} \right] \cr & = {\text{Rs}}{\text{. }}\frac{x}{6} \cr & \therefore {\text{Required ratio}} \cr & = \frac{x}{2}:\frac{x}{3}:\frac{x}{6} \cr & = \frac{1}{2}:\frac{1}{3}:\frac{1}{6} \cr & = 3:2:1 \cr} $$
36
Samaira, Mahira and Kiara rented a set of DVDs at a rent of Rs. 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara's share of rent to be paid ?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Ratio of shares}} \cr & = 8:12:14 \cr & = 4:6:7 \cr & \therefore {\text{Kiara's share}} \cr & = {\text{Rs}}{\text{.}}\left( {578 \times \frac{7}{{17}}} \right) \cr & = {\text{Rs. }}{\text{238}} \cr} $$
37
P, Q and R invested Rs. 45000, Rs. 70000 and Rs. 90000 respectively to start a business. At the end of 2 years, they earned a profit of Rs.164000. What will be Q's share in the profit ?
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & \because {\text{P}}:{\text{Q}}:{\text{R}} \cr & = 45000:70000:90000 \cr & = 9:14:18 \cr & \therefore \,{\text{Q's share}} \cr & = {\text{Rs}}{\text{.}}\left( {164000 \times \frac{{14}}{{41}}} \right) \cr & = {\text{Rs. }}{\text{56000}} \cr} $$
38
A working partner gets 20% as his commission of the profit after his commission is paid. If the working partner's commission is Rs. 8000, then what is the total profit in the business ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the total profit = Rs. k
According to the question,
Remaining profit after paying 20% working
Partner's commission = (k - 8000)
$$\eqalign{ & \therefore \,\left( {k - 8000} \right) \times \frac{{20}}{{100}} = 8000 \cr & \Leftrightarrow k = 48000 \cr & \therefore {\text{ Total profit}} = {\text{Rs}}{\text{. 48000}} \cr} $$
39
We have to divided a sum of Rs. 13950 among three persons A, B and C. B must get the double of A's share and C must get Rs. 50 less than the double of B's share. The share of A will be ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Lert the share of A = Rs. x
According to the question,
$$\eqalign{ & {\text{A}}:{\text{B}}:{\text{C}} \cr & {\text{Capital}} \to x:2x:\left( {4x - 50} \right) \cr & \Rightarrow \left( {x + 2x + 4x - 50} \right) = 13950 \cr & \Rightarrow 7x - 50 = 13950 \cr & \Rightarrow 7x = 14000 \cr & \Rightarrow x = 2000 \cr & {\text{Share of A}} = {\text{Rs}}{\text{. 2000}} \cr} $$
40
Prakash, Sachin and Anil started a business jointly investing Rs. 11 lakh, Rs. 16.5 lakh and Rs.8.25 lakh respectively. The profit earned by them in the business at the end of 3 years was Rs. 19.5 lakh. What will be 50% of Anil's share in the profit ?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & \because {\text{Ratio of shares}} \cr & = 11:16.5:8.25 \cr & = 4:6:3 \cr & {\text{Anil's share}} \cr & = {\text{Rs}}{\text{.}}\left( {19.5 \times \frac{3}{{13}}} \right) \cr & = {\text{Rs. }}{\text{4}}{\text{.5 lakh}} \cr & \therefore {\text{Required amount}} \cr & = 50\% {\text{ of 4}}{\text{.5 lakh}} \cr & = {\text{Rs. }}{\text{2}}{\text{.25 lakh}} \cr} $$