1 Answers
Option 1 : 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