Rachit and Varun started a business with a combined investment of Rs 18000. After six months, Rachit withdrew Rs 2000, and at the end of the year, the profit share of Rachit is Rs 2200 out of the total profit o Rs 3400. Find the initial investment of Rachit (in Rs).

Correct option is D

Let the initial investment of Rachit and Varun be Rs X and Rs (18000 – X)
The profit-sharing ratio of Rachit and Varun = X×6+(X-2000)×6 :(18000-X)×12
= 2X – 2000 : 36000 – 2X