Suresh started a business by investing a certain amount of money. Rakesh joined him after four months by investing Rs.50000. If after one year Suresh and Rakesh share the profit in the ratio of 10:8, how much capital did Suresh invest?

41666.7

Profit sharing ratio of Suresh and Rakesh: Amount invested by Suresh × months: Amount invested by Rakesh × months.

According to the question: 

\(\frac{\text{Amount invested by Suresh × months}}{ \text{Amount invested by Rakesh × months}}\) = \(\frac{10 }{8 }\)

\(\frac{\text{x × 12}}{ 50000 × 8}\) = \(\frac{10 }{8 }\)

96x = 4000000

x = \(\frac{ 4000000}{ 96}\)

x = 41666.7