1.Srikant and Vividh started a business investing amounts of 185000 and 225000, respectively. If Vividh's share in the profit earned by them is 9000, what is the total profit earned by them together? [Bank Clerks 2009]
Solution
Ratio of profit = Ratio of investment
Therefore Srikant's share : Vividh's share
185000 : 225000 = 37 : 45
Let Srikant's share = 37x
Vividh's share = 45x
According to the question
45x = 9000
x = 200
Therefore total profit
= 37x + 45x
= 37 × 200 + 45 × 200
= 7400 + 9000
= 16400
2. Rajan and Sajan started a business initially with 14200 and 15600, respectively. If total profits at the end of year is 74500, what is the Rajan's share in the profit? [Bank Clerks 2009]
Solution
Ratio of profit of Rajan abd Sajan = Ratio of their investment
= 14200 : 15600
= 71 : 78
Therefore Rajan's share = [ 71 / (71 + 78)] × 74500
= 35500
3. A starts a business with 4000 and B joins him after 3 months with 16000. Find the ratio of their profits at the end of year.
Solution
A's share : B's share
= Ratio of product of investment and tine period of investment
= 4000 × 12 : 16000 × ( 12 - 3)
= 4 × 12 : 16 × 9
= 1 : 3
4.A starts a business with 9000 and B joins him after 6 months with an investment of 45000. What will be the ratio of the profits of A and B at the end of year? [Hotel Mgmt. 2008]
Solution
A's share : B's share
= 9000 × 12 : 45000 × ( 12 - 6)
= 12 : 5 × 6
= 2 : 5
5. X starts a business with 300000 and Y joins him after 3 months with 1200000. Find the ratio of their profits at the end of the year. [Bank Clerks 2011 ]
Solution
X's share : Y's share
= (300000 × 12) : ( 1200000 × 9)
= 36 : 108
= 1 : 3
6. Ram, Shyam and Kamal together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be 21000, what will be Kamal's share in this profit? [RRB 2007]
Solution
Given ratio of profits of Ram, Shyam and Kamal
= ratio of their capitals
= 3 : 4 : 7
Kamal's share =[ 7 / ( 3 + 4 + 7)] × 21000
= ( 7 / 14) × 21000
= 10500
7. Rakesh, Dinesh and Mahesh start a business by investing 5000, 8000 and 12000, respectively. At the end of year, they got the profit of 12500. What is the share of Dinesh in profit? [RRB CCL 2012]
Solution
Share of Rakesh :Share of Dinesh : Share of Mahesh
= 5000 : 8000 : 12000
= 5 : 8 : 12
Total earned profit = 12500
Therefore
Share of Dinesh in profit
= [ 8 / ( 5 + 8 + 12)] × 12500
= ( 8 / 25) × 12500
= 8 × 500
= 4000
8. A and B invest in the ratio of 3:5, respectively. After 6 months, C enters the business with the investment of the capital equal to that of B. What will be the ratio of the profits of A, B and C at the end of year? [SSC LDC 2008]
Solution
Let investment of A = 3x
investment of B = 5x
Investment of C = 5x
As we know
Ratio of profit = Ratio of investment
A's share : B's share : C's share
3x × 12 : 5x × 12 : 5x × (12 - 6)
= 3x × 12 : 5x × 12 : 5x × 6
= 6 : 10 : 5
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