Partnership Questions and Answers

Answer: D

B's share is ₹ 42,000.

Profit is shared in proportion to capital multiplied by time. Let A invest x for 12 months. B invests 3x from the 5th month, for 8 months, and C invests 2x from the 7th month, for 6 months:

\[ \begin{aligned} A : B : C &= 12x : 24x : 12x \\ &= 1 : 2 : 1 \\ B &= \tfrac{2}{4} \times 84000 = 42000 \end{aligned} \]

₹ 21,000 is A's share, and C's. Ignoring the time each partner's money was invested gives 1 : 3 : 2, which happens to leave B's share unchanged here but would wrongly give A ₹ 14,000 and C ₹ 28,000.

Answer: C

B's contribution was ₹ 3,60,000.

Profit is shared in the ratio of capital multiplied by time. A's money was in for 12 months, and B's for 7 months (joining after 5):

\[ \begin{aligned} \frac{140000 \times 12}{B \times 7} &= \frac{2}{3} \\ 14B &= 3 \times 1680000 \\ B &= 360000 \end{aligned} \]

Check: 1,40,000 × 12 = 16,80,000 and 3,60,000 × 7 = 25,20,000, which are in the ratio 2 : 3. Ignoring the time would give ₹ 2,10,000, which is not an option.

Answer: A

Take the capitals as 4, 5 and 6, and the year as 12 months. A's capital changes after 8 months to half of C's initial 6, that is 3.

\[ A: 4 \times 8 + 3 \times 4 = 32 + 12 = 44 \]

\[ B: 5 \times 12 = 60 \]

\[ C: 6 \times 12 = 72 \]

\[ \text{total} = 176 \]

B's Rs. 7500 corresponds to 60 of those 176 parts:

\[ \text{total profit} = 7500 \times \frac{176}{60} = \text{Rs. } 22{,}000 \]

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.

Answer: D

Profit received by N as working partner = 14.5% of Rs. 24000 = Rs. 3480

Balance in profit = 24000 - 3480 = Rs. 20520 

Ratio of M and N =1,80,000 : 90,000 ==>2:1

Then M’s share 3 20520 2 ? Rs 13680

Answer: B

Let the total profit be \(Rs. 100.\)

After paying to charity, Rupams's share \(= rs. (95 \times \frac{3}{5}) = Rs. 57.\)

If Rupam's share is \(Rs. 57,\) total profit \(= Rs. 100.\)

If Rupam's share \(Rs. 855,\) total profit \(= (\frac{100}{57} \times 855) = 1500.\)

Answer: C

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

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

Answer: D

Profit shares are proportional to capital multiplied by time.

Take A's investment as 6 units, so B has 3 and C has 2. Let A's time be \( t \); then B's is \( 2t \) and C's is \( \tfrac{2t}{3} \).

\[ A: 6 \times t = 6t \]

\[ B: 3 \times 2t = 6t \]

\[ C: 2 \times \frac{2t}{3} = \frac{4t}{3} \]

A and B tie for the largest share, so both A and B earn the highest profit.

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.

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.