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**1).**A, B and C started a business. Aโs investment is 2 times of Bโs investment and Bโs investment is 5 times of Cโs investment. Find the profit of B in the total profit of Rs. 25600.

a)ย ย Rs. 7000

b)ย ย Rs. 8500

c)ย ย Rs. 7200

d)ย ย Rs. 8000

e)ย ย None of these

**ย**

**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 Anilโs share in the profit?

a)ย ย Rs. 4.5 lakh

b)ย ย Rs. 2.25 lakh

c)ย ย Rs. 2.5 lakh

d)ย ย Rs. 3.75 lakh

e)ย ย None of these

**ย**

**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)ย ย Rs. 27000

b)ย ย Rs. 40000

c)ย ย Rs. 15000

d)ย ย Rs. 32000

e)ย ย None of these

**ย**

**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)ย ย 12 months

b)ย ย 8 months

c)ย ย 10 months

d)ย ย 14 months

e)ย ย None of these

**ย**

**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 Aโs share.

a)ย ย Rs. 3240

b)ย ย Rs. 2520

c)ย ย Rs. 2880

d)ย ย Rs. 3360

e)ย ย None of these

**ย**

**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)ย ย Rs.5600

b)ย ย Rs.2800

c)ย ย Rs.3200

d)ย ย Rs.6400

e)ย ย None of these

**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)ย ย Rs.3650

b)ย ย Rs.5250

c)ย ย Rs.6750

d)ย ย Rs.2250

e)ย ย None of these

**ย**

**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)ย ย Rs. 4800

b)ย ย Rs. 600

c)ย ย Rs. 2400

d)ย ย Rs. 1200

e)ย ย None of these

**ย**

**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)ย ย Rs.2250

b)ย ย Rs.3375

c)ย ย Rs.6750

d)ย ย Rs.5625

e)ย ย None of these

**ย**

**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)ย ย Rs. 700

b)ย ย Rs. 750

c)ย ย Rs. 710

d)ย ย Rs. 780

e)ย ย None of these

**Answers:**

**1).d)ย 2).b)ย 3).e)ย 4).a)ย 5).a)ย 6).c)ย 7).b)ย 8).a)ย 9).b)ย 10).a)**

__Solutions:__**ย**

**1).**A=2B and B=5C

รจ A : B = 2 and B : C = 5 : 1

รจ A : B : C = 10 : 5 : 1

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

Bโs share = (5/16) ร 25600 = Rs. 8000

**Answer: d)**

**ย**

**2).**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 Anilโs share in the profit = [(19.5 ร 3) / 13] ร (50/100) = 2.25lakh

**Answer: b)**

**ย**

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

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

**Answer: e)**

**ย**

**4).**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 ร 9) : (3x ร y) = 1 : 2

= 18x / (3x ร y) = ยฝร 6/y = 1/2 = y = 12

Hence, Bโs investment is for 12 months.

**Answer: a)**

**ย**

**5).**Let Cโs investment = Rs. X

Bโs investment = Rs. (x – 3000)

Aโs investment = (x โ 3000 + 6000) = Rs. (x + 3000)

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

= x + (x – 3000) + (x + 3000) = 72000ร 3x = 72000ร x = 24000

Hence, Aโs investment = Rs. 27000, Bโs investment = Rs. 21000, Cโs investment = Rs. 24000

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

Aโs share = (9/24) ร 8640 = Rs. 3240

**Answer: a)**

**ย**

**6).**Ratio of capitals of A and B = (42000 ร 12) : (63000 ร 4) = 2 : 1

Bโs share = (1/3) ร 9600 = Rs. 3200

**Answer: c)**

**ย**

**7).**Ajay : Abhay : Arun = 13000 ร 12 : 39000 ร 12 : 52000 ร 7

= 12 : 3 ร 12 : 4 ร 7 = 3 : 9 : 7

Arunโs share = (7/19) ร 14250 = Rs. 5250

**Answer: b)**

**ย**

**8).**Ratio of capitals of A, B and C

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

Bโs share = (8/13) ร 7800 = Rs. 4800

**Answer: a)**

**ย**

**9).**Let the investment of C be Rs. x

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

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

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

Cโs share = (3/11) ร 12375 = Rs. 3375

**Answer: b)**

**ย**

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

Aโs share = (9/32) ร 11200 = Rs. 3150

Bโs share = (11/32) ร 11200 = Rs. 3850

Bโs share is more than A by (3850 – 3150) = Rs. 700

**Answer: a)**

ย

**ย**

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