Ram and Shyam invested 36,000 and 54,000 respectively to start a business together At the end of every year Ram got a fixed amount as annual salary from out of the year's profit for managing the business. After Ram was paid his salary, the remaining profit was distributed to both of them in the ratio of their investments by Ram and Shyam were in the ratio of 3:2 then what percent of profit did Ram receive as salary?
Answers
Given : Ram and Shyam invested 36,000 and 54,000 respectively to start a business together Ram got a fixed amount as annual salary After Ram was paid his salary, the remaining profit was distributed to both of them in the ratio of their investments by Ram and Shyam were in the ratio of 3:2
To find : what percent of profit did Ram receive as salary
Solution:
Ram and Shyam invested 36,000 and 54,000 respectively
Ram : Shayam = 36000 : 54000
=> Ram : Shayam = 2 : 3
Ram Share = 2/5
Shayam Share = 3/5
Let say Profit = 100P
percent of profit Ram received as Salary = x
Ram received Salary = (x/100)100P = Px
Remaining Profit = 100P - Px = P(100 - x)
Ram Share = (2/5)P(100 - x)
Shayam Share = (3/5)P(100 - x)
Ram Total Share including salary = (2/5)P(100 - x) + Px
= P (200 - 2x + 5x)/5
= P(200 + 3x)/5
(P(200 + 3x)/5 ) / (3/5)P(100 - x) = 3/2
=> 2P(200 + 3x) = 9P(100 - x)
=> 400 + 6x = 900 - 9x
=> 15x = 500
=> x = 500/15
=> x = 100/3
=> x = 33.33 %
33.33 % of profit Ram receive as salary
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