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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-3 section-1

Each section contains 100 MCQs on Partnership .
21
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Suppose}}\,{\text{B}}\,{\text{joined}}\,{\text{for}}\,x\,{\text{months}}. \cr & {\text{Then}}, \cr & {\frac{{85000 \times 12}}{{42500 \times x}} = \frac{3}{1}} \cr & \Rightarrow x = {\frac{{85000 \times 12}}{{42500 \times 3}}} = 8 \cr & {\text{So,}}\,{\text{B}}\,{\text{joined}}\,{\text{for}}\,{\text{8}}\,{\text{months}} \cr} $$
22
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Discuss
Answer & Solution
Answer: Option B
Solution:
Aman : Rakhi : Sagar
= (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)
= 12 : 15 : 16
23
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & {\text{Arun}}\,{\text{:}}\,{\text{Kamal}}\,{\text{:}}\,{\text{Vinay}} \cr & = \left( {8000 \times 6} \right):\left( {4000 \times 8} \right):\left( {8000 \times 8} \right) \cr & = 48:32:64 \cr & = 3:2:4 \cr & \therefore {\text{Kamal's}}\,{\text{share}} \cr & = Rs.\,\left( {4005 \times \frac{2}{9}} \right) \cr & = Rs.\,890 \cr} $$
24
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Simran}}\,{\text{:}}\,{\text{Nanda}} \cr & = \left( {50000 \times 36} \right):\left( {80000 \times 30} \right) \cr & = 3:4 \cr & \therefore {\text{Simran's}}\,{\text{share}} \cr & = Rs.\,\left( {24500 \times \frac{3}{7}} \right) \cr & = Rs.\,10,500 \cr} $$
25
Sumit and Ravi started a business by investing Rs. 85000 and Rs. 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
Discuss
Answer & Solution
Answer: Option C
Solution:
Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.
P : Q = 85000 : 15000 = 17 : 3
Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
26
Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Discuss
Answer & Solution
Answer: Option C
Solution:
Let C = x
Then B = $$\frac{{\text{x}}}{2}$$
and A = $$\frac{{\text{x}}}{4}$$

A : B : C = 1 : 2 : 4
C's share = $${\text{Rs}}{\text{.}}\left( {\frac{4}{7} \times 700} \right) = 400$$
27
Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is
Discuss
Answer & Solution
Answer: Option D
Solution:
Ratio of their shares
= 22500 : 35000
= 9 : 14
Deepak's share
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {13800 \times \frac{{14}}{{23}}} \right) \cr & = {\text{Rs}}{\text{. 8}}400 \cr} $$
28
A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
Discuss
Answer & Solution
Answer: Option B
Solution:
Suppose B joined after x months
then,
21000 × 12 = 36000 × (12 - x)
⇒ 36x = 180
⇒ x = 5
29
Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil’s share initially ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Nirmal : Kapil
= 9000 × 12 : (12000 × 6 + 6000 × 6)
= 1 : 1
Kapils share
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {4600 \times \frac{1}{2}} \right) \cr & = {\text{Rs}}{\text{. 2300}} \cr} $$
30
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
Discuss
Answer & Solution
Answer: Option B
Solution:
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 120000 × 6 : x × 12.
$$\eqalign{ & \frac{{720000}}{{12{\text{x}}}}:\frac{{6000}}{{3000}} \cr & \Rightarrow {\text{x}} = \frac{{720000}}{{24}} \cr & \Rightarrow {\text{x}} = 30000 \cr} $$