Partnership - Aptitude MCQ Questions and Solutions with Explanations

41

Three partners x, y and z started their business by investing Rs. 40,000, Rs. 38,000 and Rs. 30,000, respectively. After 6 months, x and z made additional investments of Rs. 20,000 and Rs. 15,000 respectively, whereas y withdrew Rs. 8,000. Find the share of y (in Rs.) in the total profit of Rs. 38,880 made at the end of the year.

A) 10,880 B) 10,950 C) 9,800 D) 10,200

Discuss

Answer & Solution

Answer: Option A

Solution:

\[\begin{array}{*{20}{c}} {\text{x}}&{}&{\text{y}}&{}&{\text{z}} \\ {40,000 \times 6 + 60,000 \times 6}&:&{38,000 \times 6 + 30,000 \times 6}&:&{30,000 \times 6 + 45,000 \times 6} \\ {40 + 60}&:&{38 + 30}&:&{30 + 45} \\ {100}&:&{68}&:&{75} \\ {100}& + &{68}& + &{75} \end{array}\]
243 units → 38,880
1 unit → 160
Share of y, 68 units → 160 × 68 = Rs. 10,880

42

Three partners shared the profit in a business in the ratio 8 : 7 : 5, They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?

A) 49 : 64 : 20 B) 20 : 49 : 64 C) 20 : 64 : 49 D) 64 : 49 : 20

Discuss

Answer & Solution

Answer: Option D

Solution:

\[\begin{array}{*{20}{c}} {\text{A}}&:&{\text{B}}&:&{\text{C}}&{} \\ 8&:&7&:&5&{ \leftarrow {\text{Profit}}} \\ 7&:&8&:&{14}&{ \leftarrow {\text{Time}}} \end{array}\]
$$\eqalign{ & {\text{Capital}} = \frac{{{\text{Profit}}}}{{{\text{Time}}}} \cr & {\text{Capital}} = \frac{8}{7}:\frac{7}{8}:\frac{5}{{14}} = 64:49:20 \cr} $$

43

A, B and C start a business. A invests $$33\frac{1}{3}\% $$ of the total capital, B invests 25% of the remaining and C invests the rest. If the total profit at the end of a year is Rs. 1,62,000 then A's share in profit is:

A) Rs. 81,000 B) Rs. 60,000 C) Rs. 54,000 D) Rs. 90,000

Discuss

Answer & Solution

Answer: Option C

Solution:

$$33\frac{1}{3}\% \to \frac{1}{3}$$
Partnership mcq question image

A : B : C = 100 : 50 : 150 = 2 : 1 : 3
6 units → 162000
1 unit → 27000
2 units → 54000

44

A, B and C together invest Rs. 53,000 in a business. A invests Rs. 5,000 more than B and B invests Rs. 6,000 more than C. Out of a total profit of Rs. 31,800, find the share of A.

A) Rs. 12,800 B) Rs. 12,500 C) Rs. 13,500 D) Rs. 13,800

Discuss

Answer & Solution

Answer: Option D

Solution:

\[\begin{array}{*{20}{c}} {\text{A}}&{\text{B}}&{\text{C}} \\ {x + 11,000}&{x + 6,000}&x \end{array}\]
3x + 17,000 = 53,000
3x = 36,000
x = 12,000
A : B : C = 23,000 : 18,000 : 12,000 = 23 : 18 : 12
53 unit → 31,800
1 unit → 600
23 unit → 23 × 600 = Rs. 13,800

45

X and Y enter into a partnership with capital in the ratio 3 : 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in Rs. lakhs) of X in the annual profit of Rs. 6.84 lakhs?

A) 3.72 B) 3.6 C) 4.2 D) 3.12

Discuss

Answer & Solution

Answer: Option A

Solution:

\[\begin{array}{*{20}{c}} x&:&y \\ {\left( {3 \times 5 + 4.5 \times 7} \right)}&:&{\left( {5 \times 5 + 2 \times 7} \right)} \\ {15 + 31.5}&:&{39} \\ {46.5}&:&{39} \\ {93}&:&{79} \end{array}\]
171 units → 6.84
1 unit → 0.04
93 units → 93 × 0.04 = 3.72

46

A, B and C start a business. A invests $$33\frac{1}{3}\% $$ of the total capital. B invests 25% of the remaining and C, the rest. If the total profit at the end of the year is Rs. 2,19,000, then A's share (in Rs.) is:

A) 65,000 B) 71,000 C) 73,000 D) 79,000

Discuss

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & 33\frac{1}{3}\% = \frac{1}{3} \cr & 25\% = \frac{1}{4} \cr & {\text{LCM of 3, 4}} = 12\,\left( {{\text{total}}} \right) \cr & {\text{Share of A}} = 12 \times \frac{1}{3} = 4 \cr & {\text{Share of B}} = 12 \times \frac{1}{4} = 3 \cr & {\text{Share of C}} = 12 - \left( {4 + 3} \right) = 5 \cr & {\text{A}}\,:\,{\text{B}}\,:\,{\text{C}} \cr & 4\,\,:\,\,3\,\,:\,\,5 \cr & 4 + 3 + 5 \to 2,19,000 \cr & 12 \to 2,19,000 \cr & 1 \to \frac{{2,19,000}}{{12}} \cr & 4 \to 18,250 \times 4 = {\text{Rs}}{\text{. }}73,000 \cr} $$

47

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. 2,00,000, P gets his share of profit plus some money as his salary that is not a part of the profit. It P gets a total of Rs. 90,000, what is the amount of salary (in Rs.) that he received?

A) 40,000 B) 20,000 C) 50,000 D) 25,000

Discuss

Answer & Solution

Answer: Option A

Solution:

P : Q = 1,50,000 : 4,50,000 = 1 : 3
Total profit = 2,00,000
\[\begin{array}{*{20}{c}} {}&{\text{P}}&{\text{Q}}&{{\text{Total}}} \\ {{\text{Required}} = }&{50,000}&{1,50,000}&{2,00,000} \\ {{\text{Obtained}} = }&{90,000}&{1,10,000}&{2,00,000} \end{array}\]
P's salary = 90,000 - 50,000 = 40,000

48

A, B and C started a business investing amounts of Rs. 13,750, Rs. 16,250 and Rs. 18,750 respectively. If B's share in the profit earned by then is Rs. 5,200, what is the difference in the profit (in Rs.) earned by A and C?

A) 1,800 B) 1,500 C) 1,600 D) 1,200

Discuss

Answer & Solution

Answer: Option C

Solution:

13 unit → 5200
1 unit → 400
Difference between A and C
= (15 - 11) unit
= 4 unit
= 4 × 400
= 1600