Nihit starts a business with Rs.700. After 5 months Amit and Patel joined him with Rs. 300 and Rs.400 respectively. At the end of the year, the business gave a profit of Rs.627. Find the share of Patel in the profit.

Rs. 132

We know that,

Capital earned = Time of investment (in months) × Amount invested

We have,

Nihit's investment = Rs. 700

After 5 months,

Amit's investment = Rs. 300

Patel's investment = Rs. 400

Total profit = Rs. 627

According to the question,

Capital earned by Nihit = 12 × 700 = Rs. 8,400

Capital earned by Amit = 7 × 300 = Rs. 2,100

Capital earned by Patel = 7 × 400 = Rs. 2,800

Ratio of their capitals = 84 : 21 : 28 = 12 : 3 : 4

Total = 12 + 3 + 4 = 19

Patel's profit = \(\frac{4}{19}\) × 627 = Rs. 132