A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 190500, what amount have C at the end of year?

Initial investments: A = 2x, B = 3x, C = 5x for first 2 months. After 2 months: A increases by 20%, so new A = 2x × 1.2 = 2.4x for remaining 10 months. B increases by 10%, so new B = 3x × 1.1 = 3.3x for remaining 10 months. C continues at 5x for all 12 months. Profit ratio = (2x × 2 + 2.4x × 10) : (3x × 2 + 3.3x × 10) : (5x × 12) = (4x + 24x) : (6x + 33x) : 60x = 28x : 39x : 60x = 28 : 39 : 60. Total profit = Rs 190500. C's share = (60/127) × 190500 = 60 × 1500 = Rs 90000.