__Practice Problems on Partnership – Set 2__**1. A, B and C started a business. A’s investment is 2 times of B’s investment and B’s investment is 5 times of C’s investment. Find the profit of B in the total profit of Rs. 25600.**

a) Rs. 7000

b) Rs. 8500

c) Rs. 7200

d) Rs. 8000

**Answer:**

**D)**

**Explanation:**

A=2B and B=5C

=> A : B = 2 and B : C = 5 : 1

=> A : B : C = 10 : 5 : 1

Ratio of capitals of A, B and C = 10 : 5 : 1

B’s share = (5/16) × 25600 = Rs. 8000

**2. Prakash, Sunil and Anil started a business jointly investing, Rs. 11 lakh, Rs. 16.5 lakh and Rs. 8.25 lakh, respectively. The profit earned by them in the business at the end of 3 yrs was Rs. 19.5 lakhs. What will be the 50% of Anil’s share in the profit?**

a) Rs. 4.5 lakh

b) Rs. 2.25 lakh

c) Rs. 2.5 lakh

d) Rs. 3.75 lakh

e) None of these

**Answer:**

**B)**

**Explanation:**

Ratio of capitals of Prakash, Sunil and Anil = 11 :
16.5 : 8.25 = 4 : 6 : 3 (take common 2.75)

Sum of ratio of capital = 4 + 6 + 3 = 13

50% of Anil’s share in the profit = [(19.5 × 3) /
13] × (50/100) = 2.25lakh

**3. Three partners started a business with Rs. 80000. At the end of the year, they receive Rs. 1800, Rs.3000 and Rs.4800 as profit. Find the investment of the second person.**

a) Rs. 27000

b) Rs. 40000

c) Rs. 15000

d) Rs. 32000

e) None of these

**Answer:**

**E)**

**Explanation:**

The ratio of profit of the three persons = 1800 :
3000 : 4800 = 3 : 5 : 8

Investment of the second person = (5/16) × 80000 =
Rs. 25000

**4. A and B enter into a partnership with capitals in the ratio 2 : 3. At the end of 9 months, A withdraws from the business. If their profits are in the ratio 1 : 2. How long did B invest his capital?**

a) 12 months

b) 8 months

c) 10 months

d) 14 months

e) None of these

**Answer:**

**A)**

**Explanation:**

Let the initial investment of A and B be Rs. 2x and
Rs. 3x respectively

Let B invested for a period of y months. Then, ratio
of capitals of A and B

(2x × 9) : (3x × y) = 1 : 2

=> 18x / (3x × y) = 1/2

=> 6/y = 1/2 => y = 12

Hence, B’s investment is for 12 months.

**5. A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, find A’s share.**

a) Rs. 3240

b) Rs. 2520

c) Rs. 2880

d) Rs. 3360

e) None of these

**Answer:**

**A)**

**Explanation:**

Let C’s investment = Rs. X

B’s investment = Rs. (x – 3000)

A’s investment = (x – 3000 + 6000) = Rs. (x + 3000)

Now, (A + B + C)’s investment = Rs. 72000

= x + (x – 3000) + (x + 3000) = 72000à3x = 72000àx =
24000

Hence, A’s investment = Rs. 27000, B’s investment =
Rs. 21000, C’s investment = Rs. 24000

Ratio of the capitals of A, B, and C = 27000 : 21000
: 24000 = 9 : 7 : 8

A’s share = (9/24) × 8640 = Rs. 3240

**6. A and B started a business with investment of Rs. 42000 and Rs. 63000, respectively. After 4 months, B withdraws from the business. At the end of a year, they got Rs.9600 as total profit. Find the share of B.**

a) Rs.5600

b) Rs.2800

c) Rs.3200

d) Rs.6400

e) None of these

**Answer:**

**C)**

**Explanation:**

Ratio of capitals of A and B = (42000 × 12) : (63000
× 4) = 2 : 1

B’s share = (1/3) × 9600 = Rs. 3200

**7. Ajay and Abhay started a business with investments of Rs.13000 and Rs.39000, respectively. After 5 months, Arun joins with a capital of Rs.52000. At the end of a year, they got a profit of Rs.14250. Find the share of Arun.**

a) Rs.3650

b) Rs.5250

c) Rs.6750

d) Rs.2250

e) None of these

**Answer:**

**B)**

**Explanation:**

Ajay : Abhay : Arun = 13000 × 12 : 39000 × 12 :
52000 × 7

= 12 : 3 × 12 : 4 × 7 = 3 : 9 : 7

Arun’s share = (7/19) × 14250 = Rs. 5250

**8. A and B entered into a partnership with investments of Rs.15000 and Rs.40000, respectively. After 3 months, A left from the business, at the same time, C joins with Rs.30000. At the end of 9 months, they got Rs.7800 as profit. Find the share of B.**

a) Rs. 4800

b) Rs. 600

c) Rs. 2400

d) Rs. 1200

e) None of these

**Answer:**

**A)**

**Explanation:**

Ratio of capitals of A, B and C

= (15000 × 3) : (40000 × 9) : (30000 × 6) = 1 : 8 :
4

B’s share = (8/13) × 7800 = Rs. 4800

**9. A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs.12375. what is the share of C?**

a) Rs.2250

b) Rs.3375

c) Rs.6750

d) Rs.5625

e) None of these

**Answer:**

**B)**

**Explanation:**

Let the investment of C be Rs. x

The investment of B = Rs. (2x/3)

The investment of A = 3 × (2x/3) = Rs. 2x

Ratio of capitals of A, B and C = 2x : (2x/3) : x =
6 : 2 : 3

C’s share = (3/11) × 12375 = Rs. 3375

**10. A, B and C started a business by investing Rs.45000, Rs.55000 and Rs.60000, respectively. At the end of a year, they got a total profit of Rs.11200. Find how much B gets more than A in the profit?**

a) Rs. 700

b) Rs. 750

c) Rs. 710

d) Rs. 780

e) None of these

**Answer:**

**A)**

**Explanation:**

Ratio of shares of A, B and C = 45000 : 55000 :
60000 = 9 : 11 : 12

A’s share = (9/32) × 11200 = Rs. 3150

B’s share = (11/32) × 11200 = Rs. 3850

B’s share is more than A by (3850 – 3150) = Rs. 700