Two friends A and B started a business by investing ₹1,50,000 and ₹2,50,000, respectively. They agreed to distribute their earnings in the same ratio of their investments. After a year, the profit earned was ₹6,00,000 . Each of them added ₹50,000 to their respective profits and invested in a different project. If this project gave a yield of ₹4,20,000, then A's share in the profit is:

Investment of A and B = ₹1,50,000 and ₹2,50,000

Profit earned after one year = ₹6,00,000

New project gave an yield = ₹4,20,000

Concept of ratio;

Total revenue = Investment × Time

If two person invest some amount for equal number of years, then the share of the profit is equal to the ratio of their investment.

From the investment of A and B,

Ratio of investment of A and B = 3 : 5 ​​

profit of A after one year = $$\frac{ 6,00,000\times3}{8}$$ = 75000 $$\times$$ 3  = 225000

profit of A after one year = $$\frac{ 6,00,000\times5}{8}$$ = 75000 $$\times$$ 5 = 375000

investment of A for second year = 225000 + 50000 = 275000

investment of B for second year = 375000 + 50000 = 425000

Ratio of investment of A and B = 275000 : 425000

                                                   = 11 : 17

profit of A in second year  = $$\frac{420000\times11}{28}$$

                                     = ₹165000