Partnership Questions and Answers

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11.

P start a business with Rs. 10000, Q joins him after 2 month with 20% more investment than P, after 2 month R joins him with 40% less than Q. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of P and ten times the investment of R. Find the profit of Q ?

A.Rs 35500
B.Rs 42000
C.Rs 38000
D.Rs 41100
E.None

Answer: C

P : Q : R = (10000 × 12) : (12000 × 10) : (7200 × 8) = 25 : 25 : 12

Now the Profit = 2 × (72000-10000) = 124000

Q’s share 25/62*12400=Rs 50000

Then profit of Q = 50000 - 12000 = Rs 38000.

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12.

A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 600 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of B in the total profits?

A.Rs 8500
B.Rs 9720
C.Rs 9650
D.Rs 10100
E.None

Answer: B

C’s monthly salary Rs 600.

Then annual salary =600*6=3600 (Because he work for 6 month only)

Rs 3600 is 10% of total profit.

Then total profit is Rs 36000.

Ratio of their shares 4*12 : 3*12 : 6*6 = 4:3:3

Profit left after reducing salary of C = 36,000 - 3,600 = 32,400

B’s share 3/10*32400 = Rs 9720.

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13.

Naveen and Kannan jointly started a business. Naveen invested four times as Kannan did and invested his money for double time as compared to Kannan. Kannan earned Rs. 5400. Then the total gain was ?

A.Rs 45000
B.Rs 48600
C.Rs 52000
D.Rs 55500
E.None

Answer: B

Naveen's capital-months are \( 4 \times 2 = 8 \) times Kannan's, so the profit splits \( 8 : 1 \).

\[ \text{Kannan's 1 part} = 5400 \]

\[ \text{total} = 9 \times 5400 = \text{Rs. } 48{,}600 \]

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14.

If 8 (P’s Capital ) = 10 ( Q’s Capital ) = 12 ( R’s Capital ) , then out of the total profit of Rs 2590 , R will receive ?

A.Rs. 740
B.Rs. 630
C.Rs. 700
D.Rs. 730
E.None

Answer: C

\[ 8P = 10Q = 12R \quad\Longrightarrow\quad P : Q : R = \frac{1}{8} : \frac{1}{10} : \frac{1}{12} \]

Multiplying through by 120:

\[ 15 : 12 : 10 \]

\[ \text{total parts} = 37, \qquad \frac{2590}{37} = 70 \]

\[ R = 10 \times 70 = \text{Rs. } 700 \]

The largest capital belongs to P, since the smallest multiplier corresponds to the biggest share.

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15.

A & B partner in a business , A contribute 1/4 of the capital for 15 months & B received 2/3 of the profit . For how long B’s money was used

A.8
B.6
C.10
D.7
E.None

Answer: C

B received 2/3 of the profit

A : B = 1 : 2

Let the total capital = x

Then A’s capital = x/4 B’s capital = x - x/4 = 3x/4

If B’s money was used for a months Then A : B = (x/4)*15 : (3x/4)*a = 1 : 2

15/4 : 3b/4 = 1 : 2

15 : 3b = 1 : 2

5 : b = 1 : 2

a = 5*2 = 10

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