A started a business with some investment. After 4 months A left the business and B joins the business with investment equal to the 2/5th of the amount invested by A. At the same time C also join the business with investment equal to the 3/2th of the amount invested by A. if at the end of the year, the difference between the profit share of A and C is Rs. 1000, then find the total profit earned by them.
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Given : A started a business with some investment.
After 4 months A left the business and B joins the business with investment equal to the 2/5th of the amount invested by A. At the same time C also join the business with investment equal to the 3/2th of the amount invested by A.
at the end of the year, the difference between the profit share of A and C is Rs. 1000,
To find : the total profit earned by them.
Solution:
Let say A invested = 10x
for 4 months = 10x * 4 = 40x
B joins the business with investment equal to the 2/5th of the amount invested by A = (2/5) *10x = 4x
for 12 - 4 = 8 months
hence 4x * 8 = 32x
C also join the business with investment equal to the 3/2th of the amount invested by A.
(3/2)10x = 15x
for 8 month
15x * 8 = 120x
A : B : C = 40x : 32x : 120x
Total = 40x + 32x + 120x = 192x
difference between the profit share of A and C is Rs. 1000
=> 120x - 40x = 80 x = 1000
=> x = 1000/80
=> 192x = 192 * 1000 / 80 = 2400
the total profit earned by them. = 2400
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