X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Select the correct option.
A) 3  B) 4  C) 6  D) 9  E) 5
Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000   Let investment period of Z be x months.   Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)   = 240 : 300 : 30x = 8 : 10 : x   The share of Z in the annual profit of Rs. 50000 is Rs. 14000.   =&gt; [x/ (18 + x)] 50000 = 14000 =&gt; [x/ (18 + x)] 25 = 7   =&gt; 25x = 7x + (18 * 7) =&gt; x = 7 months.   Z joined the business after (12 - 7) months. i.e., 5 months.   Answer:5
<result>E</result>
X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?