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# Business Partnership Questions for SSC CHSL and MTS

Question 1: A and B enter into partnership with capitals in the ratio 5 : 6. At the end of 8 months A withdraws his capital. They received profits in the ratio 5 : 9. B invested the capital for

a) 6 months

b) 8 months

c) 10 months

d) 12 months

Solution:

$Profit ratio [P] = Investment ratio [I] \times Time period [T]$

A and B enter into partnership with capitals in the ratio 5 : 6

Investment ratio of A = 5

Investment ratio of B = 6

A withdraws his capital after 8 months

Therefore, time period of A = 8 months

Assume time period of B as ‘n’

Ratio of profit = $ratio of investment \times ratio of time period$

Profit recieved by A and B in the ratio 5:9

$\frac{Profit ratio of A }{Profit ratio of B} = \frac{ Ia \times Ta}{Ib \times Tb}$

Substituting,

$\frac{ 5 \times 8}{6 \times n} = \frac{5}{9}$

Solving, n= 12 months

Question 2: A, B, C are partners in a business. During a particular year,A received one third of the profit, B received one fourth of the profit and C received the remaining Rs. 5000. How much amount of money did A receive

a) RS. 1000

b) RS. 3000

c) RS. 4000

d) RS. 5000

Solution:

let the profit be P

A, B, C are partners in a business

A received one third of the profit = $\frac{1}{3} \times P$

B received one fourth of the profit = $\frac{1}{4} \times P$

C received the remaining = $1 – (\frac{1}{3} + \frac{1}{4}) = \frac{5}{12}$

given $\frac{5}{12} \times P =5000$

solving $P = \frac{5000 \times 12}{5} = 12000$

amount of money  A receive = $\frac{12000}{3} = 4000$

Question 3: A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be $\frac{3}{4^{th}}$ of what it would have been if he were a working partner. If they make Rs 50,000 profit, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?

a) 20000

b) 6000

c) 10000

d) 9000

Solution:

Original ratio of their profit is =(3:6×3/4:5)

=(12:18:20)=(6:9:10).

So, C will get =25000×10/25=1000.

C is correct choice.

Question 4: X, Y and Z are partners in a company. In one year X receives 1/4 part of profit, Y receives 1/5 part of profit and Z receives Rs 22000. How much amount (in Rs) will X get as profit?

a) 10000

b) 12000

c) 15000

d) 18000

Solution:

Let total profit earned = Rs. $20x$

Profit earned by X = $\frac{1}{4}\times20x=5x$

Profit earned by Y = $\frac{1}{5}\times20x=4x$

=> Profit earned by Z = $20x-(5x+4x)=11x$

According to ques,

=> $11x=22,000$

=> $x=\frac{22,000}{11}=Rs.$ $2,000$

$\therefore$ Amount earned by X as profit = $5\times2,000=Rs.$ $10,000$

=> Ans – (A)

Question 5: P, Q and R are partners in a company. In any year P receives 1/9 part of profit, Q receives 1/6 part of profit and R receives Rs 130000. How much amount (in Rs) will P get as profit?

a) 40000

b) 36000

c) 18000

d) 20000

Solution:

Let total profit earned = Rs. $18x$

Profit earned by P = $\frac{1}{9}\times18x=2x$

Profit earned by Q = $\frac{1}{6}\times18x=3x$

=> Profit earned by R = $18x-(2x+3x)=13x$

According to ques,

=> $13x=130,000$

=> $x=\frac{130,000}{13}=Rs.$ $10,000$

$\therefore$ Amount earned by P as profit = $2\times10,000=Rs.$ $20,000$

=> Ans – (D)

Question 6: Profit of Rs 12,400 has to be divided between three partners A, B and C in the ratio 5:7:8. How much does B get (in Rs)?

a) 4340

b) 3440

c) 3340

d) 4430

Solution:

B’s share = $\frac{7}{5+7+8} \times 12400 = \frac{7}{20} \times 12400 = 7 \times 620 = 4340$

So the answer is option A.

Question 7: Profit of Rs 42,500 has to be divided between three partners A, B and C in the ratio 3:5:9. How much (in Rs) does A get?

a) 12500

b) 9500

c) 22500

d) 7500

Solution:

A’s share = $\frac{3}{3+5+9} \times 42500 = \frac{3}{17} \times 42500 = 3 \times 2500 = 7500$

So the answer is option D.

Question 8: Profit of Rs 1,03,500 has to be divided between three partners A, B and C in the ratio 11:7:5. How much amount (in Rs) does B get?

a) 22,500

b) 49,500

c) 50,500

d) 31,500

Solution:

Ratio of profit between A, B and C = 11 : 7 : 5

Total profit = Rs. 1,03,500

=> Amount that B will get = $\frac{7}{(11+7+5)}\times 1,03,500$

= $7 \times 4500=Rs.$ $31,500$

=> Ans – (D)

Question 9: Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively

a) 3 : 2 : 12

b) 12 : 2 : 3

c) 4 : 6 : 1

d) 1 : 6 : 4

Solution:

Let shares of A,B and C be $a,b$ and $c$ respectively.

According to ques, => $3a=2b=12c=k$

=> $a=\frac{k}{3}$ , $b=\frac{k}{2}$ , $c=\frac{k}{12}$

=> $a:b:c=\frac{k}{3}:\frac{k}{2}:\frac{k}{12}$

= $\frac{1}{3}:\frac{1}{2}:\frac{1}{12}$

Multiplying by L.C.M.(2,3,12)=12

= $\frac{12}{3}:\frac{12}{2}:\frac{12}{12}$

= $4:6:1$

=> Ans – (C)

Question 10: Proﬁt of Rs 135200 has to be divided among three partners Aashay, Bhairav and Chetan in the ratio 4:3:6. How much Rs. does Chetan get?

a) 31200

b) 41600

c) 62400

d) 93600

Solution:

Total amount to be distributed = Rs. 1,35,200

Ratio in which amount is divided between Aashay, Bhairav and Chetan = 4:3:6

=> Amount that Chetan will get = $\frac{6}{(4+3+6)} \times 135200$

= $\frac{6}{13} \times 135200$

= $6\times10400 = Rs. 62,400$

=> Ans – (C)