A started a travel agency using his Rs.45000.B realized the profit in the business and joined after 3 months with his Rs.60000.C came a bit late and after another 6 months invested Rs.90000.Out of total profit of Rs.20000 obtained after a year, what is share of C?Rs.5000Rs.4000Rs.9000Rs.9500
Question
A started a travel agency using his Rs.45000.B realized the profit in the business and joined after 3 months with his Rs.60000.C came a bit late and after another 6 months invested Rs.90000.Out of total profit of Rs.20000 obtained after a year, what is share of C?Rs.5000Rs.4000Rs.9000Rs.9500
Solution
The profit share of a business is divided according to the capital invested and the time for which it was invested.
Here, A invested Rs. 45000 for 12 months, B invested Rs. 60000 for 9 months (since he joined after 3 months), and C invested Rs. 90000 for 6 months (since he joined after another 6 months).
So, the ratio of their investments is:
A : B : C = 4500012 : 600009 : 90000*6 = 540000 : 540000 : 540000 = 1 : 1 : 1
Since the ratio of their investments is equal, the profit of Rs. 20000 will be divided equally among them.
Therefore, the share of C is Rs. 20000/3 = Rs. 6666.67
So, none of the options given are correct. The share of C is Rs. 6666.67.
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