SOLUTION: three partners invested rupees 2000 rupees, 3000 rupees and rupees 4000 for 6 months four months and two months respectively. What should be the share of each in a profit of rupees

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Question 1145533: three partners invested rupees 2000 rupees, 3000 rupees and rupees 4000 for 6 months four months and two months respectively. What should be the share of each in a profit of rupees 4000.
Answer by ikleyn(52787) About Me  (Show Source):
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Their shares are in the 3-term ratio


   (200*6) : (300*4) : (4000*2), which is the same as  1200 : 1200 : 800, which is the same as 3 : 3 : 2.


So the parts are  3x, 3x and 2x with the sum of 3x + 3x + 2x = 8x.


Hence x = 4000%2F8 = 500.


ANSWER.  Their shares are 3*500 = 1500 for #1;  same for #2  and 1000 for #3.

Solved.