Partnership Practice Questions

1) Question: A and B started the business with the investment of Rs.6000 and Rs.8000 respectively. After x months, A added Rs.2000, and B added Rs.1000 with their initial investment. At the end of one year, the total profit is Rs.4800 and A’s profit share is Rs.2200. Find the value of x.
A.6
B.3
C.4
D.8 

Answer: C

Solution:
Profit ratio=((6000 * x) + (8000 * (12 – x))) : (8000 * x + (9000 * (12 – x)) =(96000 – 2000x):(108000 – 1000x)

(96000 – 2000x)/(204000 – 3000x)=2200/4800
11 *(204000 – 3000x) = 24* (96000 – 2000x)
2244000 – 33000x=2304000 – 48000x
60000=15000x
x=4 

2) Question: P and Q entered into a business with an investment of Rs.2000 and Rs.3000. After certain months, R joined the business with an investment of Rs.4000 and at the end of one year, the total profit earned is Rs.4400 and the profit earned by P and Q together is Rs.3000. Find after how many months R entered into the business.
A.5 months
B.3 months
C.7 months
D.4 months

Answer: A

Solution:
Investment period of R = x
Profit ratio of P, Q and R = (2000 * 12) : (3000 * 12) : (4000 * x) = 6:9:x
(6 + 9)/x = 3000/(4400 - 3000)
15/x = 3000/1400
x = 7 months
R joined after 5 months

3) Question: A, B, and C started the business with the investment in the ratio of 4:7:9 and the investment period of A, B, and C is 8 months, 9 months, and 6 months respectively. If the total profit is Rs.7450, what is the profit share of C?
A.Rs.2300
B.Rs.2100
C.Rs.2400
D.Rs.2700 

Answer: D

Solution:
Profit ratio=4 * 8:7 * 9:9 * 6
=32:63:54
C’s profit share=54/149 * 7450 = 2700 

4) Question: Rocky, Molly, and Monty invest Rs. 20,000, 20,000, and 30,000 respectively for a business at the start of a year. They continued with the same investment for 6 months. In the remaining months, Rocky keeps on removing Rs. 2000, Molly keeps on adding Rs.1000 while Monty keeps on removing Rs. 3000 every month. If the total profit is Rs.336000, then what is the share of Molly?

A. Rs. 160000

B. Rs. 116000

C. Rs. 126000

D. Rs. 166000 

Answer: B

Solution:

Rocky’s investment = 20000 x 6 + 1000 {18 + 16 + 14 + 12 + 10 + 8}
→ 120000 + 1000{78} = Rs. 198000
Molly’s investment = 20000 x 6 + 1000 {21 + 22 + 23 + 24 + 25 + 26}
→ 120000 + 1000{141} = Rs. 261000
Monty’s investment = 30000 × 6 + 1000 {27 + 24 + 21 + 18 + 15 + 12}
→180000 + 1000{117} = Rs. 297000
The ratio of their investments = 198000: 261000 : 297000
→ 22: 29: 33
Given that the total investment is Rs. 336000
Molly’s share = 29 × 336000
84
Molly’s share = Rs. 116000
Hence, option B is correct.

5) Question: R, Q, and P start a business together with an initial investment of Rs. 20000, Rs. 30000, and Rs. 25000 respectively. After 8 months, R and Q take out Rs. 10000 each from the investment. The total profit earned at the end of the year is Rs. 16400. Find out P’s share of profit.

A. Rs. 5500

B. Rs. 6500

C. Rs. 4000

D. Rs. 6000 

Answer: D

Solution:

Ratio of profit earned = Ratio of investment made.
Investment made by R = (20000 × 8) + (10000 × 4) = 200000
Investment made by Q = (30000 × 8) + (20000 × 4) = 320000
Investment made by P = 25000 × 12 = Rs. 300000
Ratio of investment = 200000 : 320000 : 300000 ⇒ 10 : 16 : 15
∴ P’s share of profit = 15/41 × 16400 = Rs. 6000
Hence, option D is correct.

6) Question: A and B start a business. A invests Rs ‘X’ and B invests Rs 45000. 9 months later A withdraws half the amount. The profit received by A at the end of 1 year is 22.22% less than that of B. What is the value of ‘X’?

A. 40000

B. 45000

C. 42000

D. 48000 

Answer: A

Solution: 

A invests Rs ‘X’ and B invests Rs 45000. 9 months later A withdraws half the amount.
Ratio of investment of A: B = X × 9 + X/2 × 3 : 45000 × 12 = 7X : 360000 
The profit received by A at the end of 1 year is 22.22% less than that of B
7X : 360000 = 7 : 9
X = 40000
Hence, option A is correct.

7) Question: Mohan, Sohan, and Sunil enter into a partnership with a capital in which Mohan's contribution is Rs. 17400. If out of a total profit of Rs. 1500, Mohan gets Rs. 750 and Sohan gets Rs. 500, then Sohan's capital is?

A. Rs. 11600

B. Rs. 5800

C. Rs. 12600

D. Rs. 6300 

Answer: A

Solution:

Ratio of profit of Mohan, Sohan and Sunil = 750 : 500 : 250 = 3 : 2 : 1
Let their capitals be Rs. 3x, Rs. 2x, and Rs. x respectively.
Then, 3x = 17400
x = 17400/3 = Rs. 5800 
Hence, Sohan capital = 2x = 2 × 5800 = Rs. 11600
Therefore, option A is correct.

8) Question: A, B, and C start a business. A invests four times as much as B invests and the investment of C was x% less than that of B. At the end of one – year, out of a total profit of Rs. 5700, A’s share was Rs. 4000. What was the difference between B’s share and C’s share?

A. Rs. 1200

B. Rs. 1500

C. Rs. 200

D. Rs. 300 

Answer: D

Solution:

Let the investments of B = Rs. 100a then the investments of A = 4 × 100a = Rs. 400a
The investments of C = (100 – x) % of 100a = Rs. (100a – ax)
The ratio of their investments = 400a : 100a : 100a – ax = 400 : 100 : 100 – x
Let us assume that total profit = 400b + 100b + 100b – bx = 5700
A’s share = 4000/5700 = 400/600-x

600 – x = 570
600 – 570 = x
x = 30
The ratio of profit = 400 : 100 : 100 – 30 = 400 : 100 : 70 = 40 : 10 : 7
The difference between B’s share and C’s share = 3/57 × 5700 = 300
Hence, option D is correct.

9) Question: Vijay and Mamta entered into a partnership with Rs 30000 and Rs 36000

respectively. Shubhash joined them after ‘m’ months and contributes Rs 48000 and Mamta left ‘m’ months before the end of the year. If end of the year Vijay, Mamta and Shubhash share profit in the ratio 10: 9: 12, then find the value of ‘m’.
A. 3

B. 4

C. 1

D. 2

Answer: A

Solution:

Share of Vijay and Mamta :
Vijay = 30,000
Mamta = 36,000
Subhash = 48,000
Ratio of their Capital = 5: 6 : 8
Ratio of time = 12 : 12-m : 12-m
Total = 60: 72 – 6m: 96 – 8m
Ratio of profit of Vijay and Mamta :
60 / 72-6m= 10 / 9
⇒ 54 = 72 – 6m
6m = 18
m = 3
Hence, option A is correct.

10) Question: Sheela, Naira, and Raina entered into a partnership with investment in the ratio 11 : 12: 9. After one year Raina doubled her investment. After one more year Naira made her investment 1.5 times the initial investment. At the end of three years, they earned a profit of Rs.200000, find the share of Sheela in the profit.

A. Rs. 42000

B. Rs. 45000

C. Rs. 55000

D. Rs. 58000

Answer: C

Solution:

Let the investments of Sheela, Naira, and Raina are Rs.11x, Rs.12x, and Rs.9x respectively.
Ratio of shares in the profit:
Sheela : Naira : Raina = (11x + 11x + 11x) : (12x + 12x + 18x) : (9x + 18x + 18x) = 33x : 42x : 45x
= 11: 14: 15
Share of Sheela in the profit = 11/40 × 200000 = Rs. 55000
Hence, option C is correct.

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