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?
Answer & explanation
Correct answer: option 4
\(\frac{\text{Profit of Raju} }{\text{Profit of Kamal} }\) = \(\frac{\text{Amount of Raju × months } }{\text{Amount of Kamal × months } }\)
\(\frac{2 }{1 }\) = \(\frac{\text{900 × x} }{\text{600× y } }\)
900x = 1200y
\(\frac{x}{y}\) = \(\frac{ 4}{ 3}\)
We know, Raju invested the amount for 12 months
so 4R → 12
1R = 3
in the same manner 3R → 9
Thus, as Kamal invested for 9 months we can say that he joined after 3 months.