## Partnership Solved Questions For IBPS, SBI and Other Bank Exams - Page 4

Partnership Problems Solved Questions (Page 4 of 4)

**Question 1**

Sheela started a business in 2009 by investing Rs.50,000. She invested Rs. 20,000 as additional amount in 2010 and her friend Devi joined her with an amount of Rs.70,000. Sheela invested another Rs. 20,000 in 2011 and Anu joined them with Rs. 70,000. At the end of these 3 years, they earned a profit of Rs. 3,00,000. Find Devi's share?

a) Rs.1,00,000 b) Rs.1,25,000 c) Rs.75,000 d) Rs.1,50,000

**Answer : **a) Rs.1,00,000

Solution :

Sheela invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.

i.e., she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.

Devi invested Rs. 70000 for 2 years; i.e., Rs.70000 for 24 months

And, Anu invested Rs.70000 for 1 year; i.e., Rs. 70000 for 12 months.

Their investing ratio:

Sheela : Devi : Anu = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)

= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1

Total profit for 3 years = Rs.3,00,000

Therefore, Devi's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000

**Question 2**

Rahul and Rafick start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Rahul takes out Rs.1250 from his capital. After 1 more month, Rafick takes out Rs.750 of his capital while Ramesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit?

a) Rahul - Rs. 700, Rafick - Rs. 950, Ramesh - Rs. 890

b) Rahul - Rs. 900, Rafick - Rs. 750, Ramesh - Rs. 890

c) Rahul - Rs. 800, Rafick - Rs. 900, Ramesh - Rs. 840

d) Rahul - Rs. 840, Rafick - Rs. 800, Ramesh - Rs. 900

**Answer :** c) Rahul - Rs. 800, Rafick - Rs. 900, Ramesh - Rs. 840

Solution :

Initial investment of Rahul = Rs.2500.

After 2 months he withdraw Rs.1250 from his capital.

Therefore, we have, Rahul invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.

Rafick invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.

And, Ramesh invested Rs.3500 for 3 months;

Their investing ratio:

Rahul:Rafick:Ramesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)

= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42

Total profit for 6 months = Rs.2540

Therefore, Rahul's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800

Rafick's share = Rs.(2540 x 45/127) = Rs.900

Ramesh's share = Rs.(2540 x 42/127) = Rs.840

Hence, the answer is option c.

**Question 3**

Akash and Bharati started a business by investing some amount in the ratio of 4 : 7. Karthick joined them after six months with an amount equal to that of Bharati. What will be their profit ratio for a period of 1 year?

a) 8 : 14 : 7 b) 4 : 7 : 5 c) 4 : 7 : 7 d) 8 : 7 : 5

**Answer : **a) 8:14:7

Solution :

Given that their ratio of investment is 4:7

Let the initial investment of Akash and Bharati be 4X and 7X.

Therefore, Akash : Bharati : Karthick = (4X × 12):(7X × 12):(7X × 6)

= 48 : 84 : 42

= 16:28:14 = 8:14:7.

**Question 4**

Mr.X starts a business with Rs.7000 and after 10 months, Mr.Y joins with Mr.X by investing certain amount. At the end of 2 years, if 2:3 is the proportion of the profit then Mr.Y's contribution in the capital is:

a) Rs.15000 b) Rs.16000 c) Rs.17000 d) Rs.18000

**Answer : **d) Rs.18000

Solution :

Let Mr.Y's capital be Rs.P

Mr.X's investment = Rs.7000 for 24 months

Mr.Y's investment = Rs.P for 14 months

we know that, Profit ratio = investing ratio

i.e., (7000 x 24):(P x 14) = 2:3

168000 : 14P = 2:3

12000 : P = 2:3

12000/P = 2/3

P = 3 x 12000 / 2 = 18000

Required answer is Rs.18,000

Partnership Problems Solved Questions (Page 4 of 4)