A,B and C start a business with the capital of Rs 6000, Rs 8000 and Rs 9000 respectively . After few month A invest Rs 3000 more in the business . At the end of the year they gained Rs 30000 and C got Rs 10800 as a share of profit . When did A invest Rs 3000 more
Answers
Given : A,B and C started a business with the capital of Rs 6000,Rs 8000 and Rs 9000 respectively
After few months A invests Rs 3000 more in the business.
At the end of the year they gained Rs 30,000 and C got Rs 10,800 as share of profit.
To Find When did A invests Rs 3000 more
Solution:
Let say A invest Rs 3000 after m months
A investment = 6000 x 12 + 3000(12 - m) = 108000 - 3000m
B investment = 8000 x 12 = 96000
C investment = 9000 x 12 = 108000
Total investment = 108000 - 3000m + 96000 + 108000
= 312000 - 3000m
C investment / Total investment = C Profit / Total profit
=> (108000)/(312000 - 3000m) = 10800/30000
=> 300000 = 312000 - 3000m
=> 300 = 312 - 3m
=> 100 = 104 - m
=> m = 4
A invests Rs 3000 more after 4 months
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