X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.36000. What will be the ratio in which they should share the profit at the end of the year? Select the correct option:
A) 20 : 9
B) 2 : 1
C) 3 : 2
D) 2 : 3
E) 5 : 3

Rationale: "ratio in which they should share the profit = ratio of the investments multiplied by the time period = 45000 × 12 : 36000 × 9 = 45 × 12 : 36 × 9 = 15 × 12 : 9 × 9 = 20 : 9 answer is a ."
Answer: A