A, B, and C are partners. A invested Rs. 4,50,000 in business for 't' months. B invested Rs. 2,00,000 for 5 months less than the period invested by A and C invested Rs. 6,00,000 for 3 months less than the period invested by B. Their profit sharing ratio is 27 : 7 : 12. Find the number of months for which each partner has invested in the business respectively.
1
12; 7 and 4 months
2
12; 6 and 6 months
3
12; 7 and 5 months
4
12; 8 and 3 months
5
12; 9 and 7 months