A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.120,000. At the end of the year, out of a total profit of Rs.375,000, C gets Rs.150,000 as his share. How many months after B joined the business, did C join?
Correct answer: B
Explanation
Assume that C was there in the business for x months
A:B:C = 40000*12 : 60000*10 : 120000*x
= 40*12 : 60*10 : 120x = 40 : 5*10 : 10x
=8 : 10 : 2x
= 4 : 5 : x
C's share = 375000*x/(9+x) = 150000
=> 375x/(9+x) = 150
=> 15x = 6(9+x)
=> 5x = 18 + 2x
=> 3x = 18
=> x = 18/3 = 6
It means C was there in the business for 6 months. Given that B joined the business
after 2 months. Hence C joined after 4 months after B joined
Answer is B
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