Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. A and B started a business in a partnership firm in the year 2017 and decided to share profits in capital ratio. In the year 2017, they share profits equally. Quantity A∶ Number of months after which A made his 3rd investment if A invests Rs. 1000 at the beginning, Rs. 1500 after 3 months and after some time, he invests Rs. 2000, after 8 months, he invests Rs. 2500 Quantity B∶ Number of months after which B made his 3rd investment if B invests Rs. 1500 at beginning of every quarter and finally he invests Rs. 500 after 11 months Correct Answer Quantity A > Quantity B As both receives equal profits in the year. It means that their capital ratio is 1 ∶ 1 Let A’s 3rd investment is used for x months Capital of A∶ (1000 × 12) + (1500 × 9) + (2000 × x) + (4 × 2500) ⇒ 12000 + 13500 + 2000x + 10000 ⇒ 35500 + 2000x Capital of B∶ (1500 × 12) + (1500 × 9) + (1500 × 6) + (1500 × 3) + (500 × 1) ⇒ 18000 + 13500 + 9000 + 4500 + 500 ⇒ Rs. 45500 According to the question, 35500 + 2000x = 45500 ⇒ 2000x = 45500 – 35500 ⇒ 2000x = 10000 ⇒ x = 10000/2000 ⇒ x = 5 3rd investment of A is being used for 5 months It means that A has made his 3rd investment after 7 months i.e. 12 – 5 B has made his 3rd investment at the beginning of 3rd quarter i.e. after 6 months ∴ Quantity I is more than Quantity II