Raju started a business with Rs. 900. Kamal joined him after few months with an amount of 600. If the profits at the end of the year were divided in the ratio of 2:1, after how many months Kamal joined the business?

QuestionRaju started a business with Rs. 900. Kamal joined him after few months with an amount of 600. If the profits at the end of the year were divided in the ratio of 2:1, after how many months Kamal joined the business?
Typemultiple_choice
Option9 monthsincorrect
Option3 monthscorrect
Option8 monthsincorrect
Option5 monthsincorrect
SolutionThe capital of Raju (C1) =900
And the capital of Kamal is (C2) = 600
Time period spend by Raju (T1) = 12 months
Let the time period spend by Kamal (T2) = x months
The ratio of their profit (p1:p2) is 2: 1
Apply the formula:
(C1 * T1)/ (C2 * T2) = p1/p2
(900 * 12)/ (600*x) = (2/1)
10800/600 = 2* x
x= 18/2
x= 9 months, i.e., Kamal spend 9 months.
So, Kamal joined after, 12 – 9= 3 months.
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