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# Partnership Business Questions for SSC MTS

Question 1: Profit of Rs 104000 has to be divided among three partners Ashok, Bimla and Chirag in the ratio 6:4:3. How much does Chirag get?

a) 24000

b) 32000

c) 48000

d) 12000

Solution:

Total profit to be distributed = Rs. 1,04,000

Ratio of profit divided among Ashok, Bimla and Chirag = 6:4:3

Thus, amount that Chirag will get = $\frac{3}{(6+4+3)} \times 104000$

= $\frac{3}{13} \times 104000$

= $3 \times 8000 = Rs$ $24,000$

=> Ans – (A)

Question 2: Profit of Rs 936000 has to be divided among three partners Anirudhha, Balwant and Charudatta in the ratio 2:3:5. How much does Charudatta get?

a) 280800

b) 187200

c) 468000

d) 234000

Solution:

Total profit to be distributed = Rs. 9,36,000

Ratio of profit divided among Anirudhha, Balwant and Charudatta = 2:3:5

Thus, amount that Charudatta will get = $\frac{5}{(2+3+5)} \times 936000$

= $\frac{5}{10} \times 936000$

= $5 \times 93600 = Rs$ $468,000$

=> Ans – (C)

Question 3: Profit of Rs 144000 has to be divided among three partners Akram, Bipin and Chintan in the ratio 3:2:7. How much Rs. Chintan get?

a) 84000

b) 24000

c) 36000

d) 42000

Solution:

Total profit to be distributed = Rs. 1,44,000

Ratio of profit divided among Akram, Bipin and Chintan = 3 : 2 : 7

Thus, amount that Chintan will get = $\frac{7}{(3+2+7)} \times 144,000$

= $\frac{7}{12} \times 144,000$

= $7 \times 12000 = Rs$ $84,000$

=> Ans – (A)

Question 4: Profit of Rs 187200 has to be divided among three partners Amit, Brijmohan and Chiranjeev in the ratio 1:2:5. How much does Chiranjeev get?

a) Rs. 46800

b) Rs. 23400

c) Rs. 117000

d) Rs. 58500

Solution:

Total profit = Rs. 1,87,200

Ratio of profit divided among Amit , Brihmohan and Chiranjeev = 1 : 2 : 5

=> Amount with Chiranjeev = $\frac{5}{(1 + 2 + 5)} \times 187200$

= $5 \times 23400 = Rs. 1,17,000$

=> Ans – (C)

Question 5: In a business partnership among A, B, C and D, the profit is shared as follows:
$\frac{\text{A’s share}}{\text{B’s share}}$ = $\frac{\text{B’s share}}{\text{C’s share}}$ = $\frac{\text{C’s share}}{\text{D’s share}}$ = $\frac{1}{3}$
If the total profit is 4,00,000, the share of C is

a) 1,12,500

b) 1,37,500

c) 90,000

d) 2,70,000

Solution:

$\frac{\text{A’s share}}{\text{B’s share}}$ = $\frac{\text{B’s share}}{\text{C’s share}}$ = $\frac{\text{C’s share}}{\text{D’s share}}$ = $\frac{1}{3}$

$\frac{\text{A’s share}}{\text{B’s share}}$ = $\frac{1}{3}$ i.e. A = $\frac{1}{3}$B

$\frac{\text{B’s share}}{\text{C’s share}}$ = $\frac{1}{3}$ i.e. B = $\frac{1}{3}$C

$\frac{\text{C’s share}}{\text{D’s share}}$ = $\frac{1}{3}$ i.e. D = $\frac{3}{1}$C

If the total profit is 4,00,000 , then A+B+C+D = 400000
$\frac{1}{3}\times\frac{1}{3}$C + $\frac{1}{3}$C + $\frac{3}{1}$C = 400000

C = 90000

Question 6: A starts business with Rs. 7000 and after 5 months. B joined as a partner. After a year the profit is divided in the ratio 2 : 3. The capital of B is :

a) Rs. 9,000

b) Rs. 10.000

c) Rs. 6,500

d) Rs. 18,000

Solution:

B’s capital be x.
$\frac{7000\times12}{(12-5)x}=\frac{2}{3}$
x=18000

Question 7: A and B entered into a partnership investing Rs 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

a) Rs. 2400

b) Rs. 1200

c) Rs. 3600

d) Rs. 4800

Solution:

Total amount invested by A over the year(in ‘000s) = (16*3) + (11*9) = 147

Total amount invested by B = (12*3) + (17*9) = 189

Total amount invested by C = 21*6 = 126

Ratio of the amounts invested by A : B : C = 147 : 189 : 126

=> A : B : C = 7 : 9 : 6

Total profit = 26400

=> Share of B exceeds that of C by = $\frac{9-6}{22}$ * 26400

= 3*1200 = 3600

Question 8: 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 9: 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 10: 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