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?
Pick one
A) 8 months
B) 2 months
C) 6 months
D) 4 months
E) 5 months
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.   Answer:E   Z joined the business after (12 - 7) months. i.e., 5 months.
<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?