Partnership - Aptitude MCQ Questions and Solutions with Explanations

21

A, B and C invested their capitals in the ratio 2 : 3 : 5. The ratio of months for which they invested is 4 : 2 : 3, respectively. If the difference between the profit shares of A and B is Rs. 1,86,000, then C's share of profit (in Rs.) is:

A) 10,29,500 B) 13,95,000 C) 15,39,000 D) 19,35,000

Discuss

Answer & Solution

Answer: Option B

Solution:

\[\begin{array}{*{20}{c}} {}&{\text{A}}&:&{\text{B}}&:&{\text{C}} \\ {{\text{Invested}} \to }&2&:&3&:&5 \\ {{\text{Duration}} \to }&4&:&2&:&3 \\ {{\text{Profit}} \to }&8&:&6&:&{15} \end{array}\]
Difference of A and B profit = 8 - 6 = 2 units → 1,86,000
1 unit → 93,000
15 unit → 15 × 93,000
C's profit = Rs. 13,95,000

22

A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z = ?

A) 9 : 6 : 7 B) 7 : 9 : 4 C) 9 : 4 : 7 D) 6 : 7 : 9

Discuss

Answer & Solution

Answer: Option C

Solution:

23

A, B and C started a business with their capitals in the ratio 2 : 3 : 5. A increased his capital by 50% after 4 month's, B increased his capital by $$33\frac{1}{3}\% $$ after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was Rs. 86,800, then the difference between the shares A and C in the profit was:

A) Rs. 7,000 B) Rs. 9,800 C) Rs. 8,400 D) Rs. 12,600

Discuss

Answer & Solution

Answer: Option D

Solution:

24

A, B and C started a business. Twice the investment of A is equal to thrice the investment of B and also five times the investment of C. If the total after a year is Rs. 15.5 lakhs, then the share of B in the profit is (in Rs. lakhs)

A) 7.5 B) 3 C) 4.5 D) 5

Discuss

Answer & Solution

Answer: Option D

Solution:

2A = 3B = 5C
A : B : C = 15 : 10 : 6
31 unit → 15.5 lakhs
1 unit → 0.5 lakhs
10 unit → 0.5 × 10
B = 5 lakhs

25

P and Q start a shop with a capital of Rs. 1,50,000 and Rs. 4,50,000 respectively. After a year, out of the profit of Rs. 1,60,000, P gets his share of profit plus some money that is not a part of the profit, as his salary. If P gets a total of Rs. 70,000, what is the salary (in Rs.) he received?

A) 40,000 B) 30,000 C) 25,000 D) 50,000

Discuss

Answer & Solution

Answer: Option B

Solution:

\[\begin{array}{*{20}{c}} {\text{P}}&{}&{\text{Q}} \\ {1,50,000}&:&{4,50,000} \\ 1&:&3 \end{array}\]
4 → 1,60,000
1 → 40,000
∴ Salary of P = 70,000 - 40,000 = Rs. 30,000

26

A, B and C started a business with initial investments of Rs. 20000, Rs. 25000 and Rs. 10000, respectively. After 5 months from start, A invested Rs. 4000 more. After 6 months from start, C invested Rs. 8000 more. After 4 months from start, B withdrew Rs. 8000. At the end of the year, they will receive a profit of Rs. 'x'. In what ratio they will share the profits?

A) 67 : 59 : 42 B) 71 : 57 : 42 C) 71 : 59 : 42 D) 59 : 68 : 42

Discuss

Answer & Solution

Answer: Option A

Solution:

\[\begin{array}{*{20}{c}} {\text{A}}&:&{\text{B}}&:&{\text{C}} \\ {20,000 \times 5 + 24,000 \times 7}&:&{25,000 \times 4 + 17,000 \times 8}&:&{10,000 \times 6 + 18,000 \times 6} \\ {268}&:&{236}&:&{168} \\ {67}&:&{59}&:&{42} \end{array}\]

27

Person A started a business by investing Rs. 65,000. After a few months, B joined him by investing Rs. 50,000. Three months after the joining of B, C joined the two with an investment of Rs. 55,000. At the end of the year, A got 50% of profit as his share. For how many months did A alone finance the business?

A) 2 B) 3 C) 5 D) 4

Discuss

Answer & Solution

Answer: Option B

Solution:

A got 50% of share and remaining 50% divided in B and C
∴ 10x + 30 + 11x = 156
⇒ 21x = 126
⇒ x = 6
B did for = 9 months
C did for = 6 months
∴ A alone did business for = 3 months

28

A, B and C started a business in partnership. Initially, A invested Rs. 29,000, while B and C invested Rs. 25,000 each. After 4 months, A withdrew Rs. 3,000. After 2 more months, C invested Rs. 12,000 more. Find the share of C (in Rs.) in the profit of Rs. 33,200 at end of the year.

A) 10,800 B) 10,000 C) 11,067 D) 12,400

Discuss

Answer & Solution

Answer: Option D

Solution:

\[\begin{array}{*{20}{c}} {\text{A}}&{}&{\text{B}}&{}&{\text{C}} \\ {29,000}&{}&{25,000}&{}&{25,000} \\ {29}&{}&{25}&{}&{25} \\ {\left( {29 \times 4 + 26 \times 8} \right)}&{}&{\left( {25 \times 12} \right)}&{}&{\left( {25 \times 6 + 37 \times 6} \right)} \\ {81}&:&{75}&:&{93} \\ {27}&:&{25}&:&{31} \end{array}\]
$$\eqalign{ & 83\,{\text{unit}} \to 33,200 \cr & 1{\text{ unit}} \to \frac{{33,200}}{{83}} \cr & 31\,{\text{unit}} \to \frac{{33,200}}{{83}} \times 31 \cr & = {\text{Rs}}{\text{. }}12,400{\text{ Answer}} \cr} $$

29

The ratio of the investments of A and B in a business is 7 : 5, and the ratio of their profits at the end of a year is 2 : 5. If A invested the money for 6 months, then for how much time (in months) has B invested his money?

A) 12 B) 18 C) 21 D) 24

Discuss

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & {\text{Time}} = \frac{{{\text{Profit}}}}{{{\text{Capital}}}} \cr & {\text{A's time}} = \frac{2}{7}{\text{ units}} \cr & {\text{B's time}} = \frac{5}{5} = 1{\text{ unit}} \cr & \frac{2}{7}{\text{ units}} = 6{\text{ months}} \cr & 1{\text{ unit}} = 6 \times \frac{7}{2} = 21\,{\text{months}} \cr} $$

30

Ramesh started a business investing a sum of Rs. 40,000. Six months later, Kevin joined by investing Rs. 20,000. If they make a profit of Rs. 10,000 at the end of the year, how much is the share of Kevin?

A) Rs. 2,000 B) Rs. 4,000 C) Rs. 3,000 D) Rs. 2,500

Discuss

Answer & Solution

Answer: Option A

Solution:

\[\begin{array}{*{20}{c}} {{\text{Ramesh}}}&{}&{{\text{Kevin}}} \\ {40,000 \times 12}&:&{20,000 \times 6} \end{array}\]
Profit → 4 : 1
5 unit → 10,000
1 unit → 2,000
Kevin share will be Rs. 2,000