A and B started a business in which A invested Rs. 12000 less than B. B left the business after 8 months. If B receives Rs. 4800 out of total profit of Rs. 7680 after 1 year. Find the initial investment of B?
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Answer:Let A invested x. So B invested x+12000.
Let profit be y%.
Profit of B for 8 months =
(2/3)*(y/100)*(x+12000) =( 2xy+ 24000y)/300 = 4800
2xy + 24000y = 1440000...(i)
Profit of A for 12 months = (y/100)*(x) = xy/100 = (7680-4800)= 2880
xy = 288000..(ii)
Putting (ii) in (i)
576000+ 24000y = 1440000
24000y = 864000
y = 36
So, from (ii)
x =8000
Contribution of B is Rs 20000
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