A, B, and C are partners. A invested Rs. 20,000 in business for 'T' months. B invested Rs. 30,000 for 4 months less than the period invested by A and C invested Rs. 60,000 for 2 months less than the period invested by B. Profit sharing ratio of A, B and C is 2 : 2 : 3 respectively. Find the time (in months ) period for which C invested.

Correct option is C

Profit sharing ratio of A, B & C = 20,000 × T : 30,000 × (T-4) : 60,000 ×(T-6)
ATQ,
20,000 × T = 30,000 × (T-4)
2T = 3T -12
T = 12
Time period for which C invested = T-6 = 6 months