To find the value of \( K \) in the investment ratio of A, B, and C, we start by representing their investments mathematically based on the given ratio.
Given that the investments are in the ratio of \( 3 : 2 : K \), let's denote the actual amounts invested by A, B, and C as \( 3x \), \( 2x \), and \( Kx \) respectively, where \( x \) is a common multiplier.
From the problem, we know:
We tackle each equation separately:
Solving for \( K \):
Thus, the value of \( K \) is 7.
A and B started a business with investment of ₹ $60,000$ and ₹ $90,000$ respectively. After 5 months, B left the business and C joined with a capital which is ₹ 60,000 less than that of B. If at the end of the year, the share of C in the profit was ₹ 42,000, then find the total profit earned at the end of the year.