Business Partnership Questions for SSC CHSL and MTS
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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
1) Answer (D)
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
2) Answer (C)
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
3) Answer (C)
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
4) Answer (A)
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
5) Answer (D)
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)
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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
6) Answer (A)
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
7) Answer (D)
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
8) Answer (D)
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
9) Answer (C)
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
10) Answer (C)
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)
