Partnership Questions and Answers

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21.

X, Y and Z enter into a partnership and theirs shares are in the ratio 1/2 : 1/3 : 1/4. After two months, X withdraws half of his capital and after 10 months, a profit of Rs.420 is divided among them. What is Y’s share?

A.Rs 180
B.Rs 165
C.Rs 160
D.Rs 195
E.None

Answer: C

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

Ratio (6x * 2) + (3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 ==>7 : 8 : 6.

B’s share = 420 * 8/21 = Rs. 160.

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22.

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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23.

P and Q invested in a business. They earned some profit which they divided in the ratio of 2:3. If P invested Rs.30000, the amount invested by Q is

A.Rs 40000
B.Rs 35000
C.Rs 45000
D.Rs 50000
E.None

Answer: C

With equal periods, profits divide in the ratio of the investments.

\[ \frac{30000}{Q} = \frac{2}{3} \quad\Longrightarrow\quad Q = \text{Rs. } 45{,}000 \]

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