**Problem 1:** A started a business with Rs.50,000 and after 4 months B joined with Rs.120,000. A received Rs.58000 as a share of profit including 10% commission for managing the business. What amount did B receive?

Solution:

A B

50,000 120,000

5 : 8

———->58000

1————>?13000

————>?72000

**Problem 2:** A and B start a partnership by investing in the ratio 7:5. After 3 months C also joined with 20% less investment as B. After few months A left and D joined with 200/7% less investment as A. If after one and half years B claimed of the total profit. Find the investment time of D?

Solution:

C = = 5-1 =4

D = = 7-2 =5

A : B : C : D

7 : 5 : 4 : 5

(18-X) : 18 : 15 : X

126-7X : 90 : 60 : 5X

,A+B+C+D=14 , B—>5

,A+B+C=9 , B=5