**1.A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C?**

**2.Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?**

**3.A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B’s contribution in the capital?**

**4.Dheeraj distributed his total assets to his wife,three sons,two daughters and five grandchildrens in such a way that each grand-child got one -eighth of each son or one -tenth of each daughter ,his wife got 40% of the total share of his sons and daughters together.if each daughter recieved asset of worth Rs.1.25 lakh.What was the total worth of assets recieved by his wife and the three grandchildren together?**

**5.Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?**

**6.Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?**

**7.In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2, If Rs 157300 was their profit, how much amount did B receive?**

**8.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 another 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?**

**9.A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit?**

**10.Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?**

**Next topic is Simple interest and Compound interest.**

**Answers:**

**1.(B)**

Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment

Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.

A:B:C =(3x*12):(5x*12):(5x*6)

= 36:60:30

= 6:10:5

**2.(B)**

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively

Then, 14x : 8y : 7z = 5 : 7 : 8

Now, 14x/8y = 5/7

y = (49/20)x

14x/7z = 5/8

z = (16/5)x

x:y:z = x:(49/20)x:(16/5)x

20:49:64

**3.(A)**

Let B contribution is x.

(3500∗12)/7x=2/3

14x=126000

x=Rs9000

**4.(B)**

Share of one grandchild=1/10*1.25=Rs.0.125 lakh

Each son gets=8*0.125=Rs.1 lakh

Share of 3 sonns=Rs.3 lakhs

Share of 2 daughters=2*1.25=Rs.2.5 lakhs

Total shares of sons and daughters=Rs.5.5 lakhs

Wife’s share=2/5*5.5=Rs.2.2 lakhs

Share of three grandchildren=3*0.125=Rs.0.375 lakhh

Required answer

=(2.2+0.375)lakh

Rs.2.575 lakhs

Rs.257500

**5.(B)**

Suppose Ramesh invested Rs. x. Then,

Manoj : Ramesh = 120000 * 6 : x *12.

720000/12x : 6000/3000

x = 30000

**6.(D)**

Just take care of the months of investment, rest all will be simple.

Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3

= 2:2:1

Atul’s share = Rs. 20000 * (1/5) = Rs. 4000

**7.(D)**

A:B = 3:2 = 6:4

A:C = 2:1 = 6:3

A:B:C = 6:4:3

B share = (4/13)*157300

= 48400

**8.(C)**

A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6

= 147:189:126 = 7:9:6

Difference of B and C’s shares =

Rs. [26400 * (9/22)-26400 * (6/22))

= Rs. 3600

**9.(B)**

For managing, A received = 5% of Rs. 7400 = Rs. 370.

Balance = Rs. (7400 – 370) = Rs. 7030.

Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)

= 39000 : 42000 : 30000

= 13 : 14 : 10

B’s share = Rs.(7030 x14/37)= Rs. 2660.

**10.(B)**

Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.