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Q.

A starts a business with Rs.5000 and B joins the business 5 months later with an investment of Rs.6000. After a year they earn a profit of Rs. 34000 . Find the shares of A and B in the profit amount depending on their individual investment Rs. 20000  and Rs.14000 .


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a

12000

b

14000 

c

16000

d

30000

answer is B.

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Detailed Solution

Concept- You can take A and B investments and use them to calculate the effective price contribution. The effective price is the investment amount multiplied by the number of working months, and you need to find the ratio of the effective price, and use this ratio to find the total number of parts  and the number of parts that need to divide the profit. increase. It belongs to A and B.
As A, the transaction starts at Rs.5000  A's one-year effective price contribution is given by the following formula.  Question ImageSuppose B invests 6000  after 5 months  Therefore, he  contributed only for 7 months this year  Therefore, the effective price that B offers for one year is as follows.  Question Image The ratio of contributions of A and B  Question ImageTherefore, the ratio isQuestion Image. Annual profit  is Question ImageUsing this ratio, you can see that the profit is divided into 17 parts, 10 of which belong to A and the remaining 7 parts belong to B.  For this reason, Question ImageHence, the correct answer is option (2).
 
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