A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
Choose the correct choice from the following options.
A) 10 : 5 : 4  B) 5 : 3 : 4  C) 3 : 4: 5  D) 6 : 10 : 5  E) None of these
Explanation :   Initial investment capital ratio of A and B = 3 : 5   Hence we can assume that initial capital of A and B are 3x and 5x respectively.   Amount that C invest after 6 months = 5x (Since it is equal to B's investment)   Ratio in which profit should be distributed after 1 year = 3x*12 : 5x * 12 : 5x*6   =&gt; 3*12 : 5*12 : 5*6   = 6 : 10 : 5. Answer : Option 6 : 10 : 5
<result>D</result>
A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.