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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-2

Each section contains 100 MCQs on Partnership .
31
A, B and C invested their capitals in the ratio of 2 : 3 : 5. The ratio of months for which A, B and C invested is 4 : 2 : 3. If C gets a share of profit which is Rs. 1,47,000 more than that of A, then B's share of profit is:
Discuss
Answer & Solution
Answer: Option A
Solution:
Partnership mcq question image
B = 6 × 21000 = 126000
32
A, B and C are Partners in a firm Sharing Profit in the ratio of 3 : 4 : 5. If they set aside 4% of the Profits as emergency fund and shared the rest of the profit and 8 gets his share of Profit as Rs. 1,81,400, the amount of Profit set aside for emergency fund is:
Discuss
Answer & Solution
Answer: Option C
Solution:
If total profit = 100 (Let)
4% is emergency fund = $$ = \frac{{4 \times 100}}{{100}} = 4{\text{ unit}}$$
Ratio of profit =
Partnership mcq question image
32 unit = 181400
1 unit = 5668.75
4 unit = 22675
33
A, B and C started a business with the investment of Rs. 100000, Rs. 140000 and Rs. 200000 respectively. After 3 months, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of profit as Rs. 1155. What is the total share of profits of A and B?
Discuss
Answer & Solution
Answer: Option D
Solution:
\[\begin{array}{*{20}{c}} {\text{A}}&{}&{\text{B}}&{}&{\text{C}} \\ {1,00,000 \times 12}&:&{1,40,000 \times 10}&:&{2,00,000 \times 3} \\ 6&:&7&:&3 \\ {}&{}&{}&{}&\begin{gathered} \,\,\,\,\,\,\,\,\,\,{|^{ \times 385}} \hfill \\ \,\,\,\,\,\,{\text{Rs}}{\text{. 1155}} \hfill \\ \end{gathered} \end{array}\]
∴ A + B = (6 + 7) = 13
= 13 × 385
= Rs. 5005
34
A and B entered into a partnership with certain investments. At the end of 8 months A withdrew and collected back his money. A and B received profit in the ratio 5 : 9 at the end of the year. If B had invested Rs. 36,000, then how much (in Rs.) had A invested?
Discuss
Answer & Solution
Answer: Option B
Solution:
\[\begin{array}{*{20}{c}} {}&{\text{A}}&:&{\text{B}} \\ {{\text{Profit}}}&5&:&9 \\ {{\text{Time}}}&8&:&{12} \\ {}&{\text{A}}&:&{\text{B}} \\ {}&5&:&9 \\ {}&2&:&3 \\ {{\text{Capital}}}&{\frac{5}{2}}&{}&{\frac{9}{3}} \\ {\frac{{{\text{Profit}}}}{{{\text{Time}}}}}&5&:&6 \end{array}\]
$$\eqalign{ & 6 \to 36,000 \cr & 5 \to \boxed{30,000} \cr} $$
35
The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a years is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?
Discuss
Answer & Solution
Answer: Option A
Solution:
$$\eqalign{ & \frac{{14 \times 3}}{{15 \times x}} = \frac{2}{5} \cr & x = 7{\text{ months}} \cr} $$
36
A and B invest in a business in the ratio 4 : 5. After 10 months 8 leaves the business after withdrawing his investment. In the first year the business made a profit of Rs. 49,000. What is B's share (in Rs.) of this profit?
Discuss
Answer & Solution
Answer: Option A
Solution:
\[\begin{array}{*{20}{c}} {{\text{Partners}}}&{\text{A}}&:&{\text{B}} \\ {{\text{Capital}}}&4&:&5 \\ {{\text{Time}}}&{12}&:&{10} \\ {{\text{Profit ratio}}}&{24}&:&{25} \end{array}\]
Total profit = 49 units   (25 + 24)
Total profit = Rs. 49,000   (Given)
49 units = Rs. 49,000
1 unit = Rs. $$\frac{{49,000}}{{49}}$$  = Rs. 1,000
∴ 25 units = 25 × 1,000
B's share = Rs. 25,000
37
A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 : 4 : 5. What is the sum (in Rs.) of the capitals invested by B and C?
Discuss
Answer & Solution
Answer: Option C
Solution:
\[\begin{array}{*{20}{c}} {}&{\text{A}}&:&{\text{B}}&:&{\text{C}} \\ {{\text{Profit}} \to }&1&:&4&:&5 \\ {{\text{Duration}} \to }&{12}&:&8&:&6 \\ {{\text{Investment}} \to }&{\frac{1}{{12}}}&:&{\frac{4}{8}}&:&{\frac{5}{6}} \\ {}&2&:&{12}&:&{20} \end{array}\]
$${\text{Investment}} \to \frac{{{\text{Profit}}}}{{{\text{Duration}}}}$$
Investment by B and C = 12 + 20 = 32 units
2 units → 54,000
1 unit → 27,000
32 units → 32 × 27,000 = 8,64,000
Sum of investment by B and C = Rs. 8,64,000
38
A sum of Rs. 8,200 was divided among A, B and C in such a way that a had Rs. 500 more than B and C had Rs. 300 more than A. How much how C's share (in Rs.)?
Discuss
Answer & Solution
Answer: Option D
Solution:
\[\begin{array}{*{20}{c}} {\text{A}}&{\text{B}}&{\text{C}} \\ {x + 500}&x&{x + 800} \end{array}\]
3x + 1,300 = 8,200
3x = 6,900
x = 2,300
C's share = x + 800
= 2,300 + 800
= Rs. 3,100
39
A, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C's share out of the total profit is Rs. 4,863, then the share of A in the profit is:
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & 3A = 2B \cr & \frac{A}{B} = \frac{{{2_{ \times 2}}}}{{{3_{ \times 2}}}} \cr & 3A = 4B \cr & A:B = 4:3 \cr} $$
Partnership mcq question image
40
A and B had a joint business in which A invested Rs. 60,000 in the business for one year. After 3 months B invested Rs. 80,000. At the beginning of the second year, A invested Rs. 30,000 more and B withdrew Rs. 5,000. At the end of two years, profit earned by A Rs. 35,880. What is the profit (in Rs.) earned by B, if they distributed half of the total profit equally and rest in the capital ratio?
Discuss
Answer & Solution
Answer: Option C
Solution:
\[\begin{array}{*{20}{c}} {}&{\text{A}}&{\text{B}} \\ {{\text{CI}} \to }&{60000}&{80000} \\ {}& \times & \times \\ {{\text{Time}} \to }&{12}&9 \\ {}& + & + \\ {}&{90000}&{75000} \\ {}& \times & \times \\ {}&{12}&{12} \\ {}&{\text{A}}&{\text{B}} \\ {}&{\left( {60 \times 12} \right) + \left( {90 \times 12} \right)}&{\left( {80 \times 9} \right) + \left( {75 \times 12} \right)} \\ {}&{720 + 1080}&{720 + 900} \\ {}&{1800}&{1620} \end{array}\]
∴ A : B = 100 : 90
Total profit = 190
Partnership mcq question image
\[\begin{array}{*{20}{c}} {{\text{A}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{B}}} \\ {47.5\,\,\,\,\,\,\,\,\,\,\,\,\,\,47.5} \\ { + \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + } \\ {50\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,45} \\ {\overline {\,\,97.5\,\,\,\,\,\,\,\,\,\,\,\,\,92.5\,\,} } \end{array}\]
\[\frac{{\text{A}}}{{\text{B}}} = \frac{{975}}{{925}} = \frac{{39}}{{37}}\begin{array}{*{20}{c}} {\xrightarrow{{\,\,\,\,\, \times 920\,\,\,\,\,}}35880} \\ {\xrightarrow{{\,\,\,\,\, \times 920\,\,\,\,\,}}34040} \end{array}\]