A and B invested RS. 90,000 and RS. 1,20,000 in a business after 4 months A invested RS. 10,000 more. After 2 more months B withdraw RS. 20,000. If they earned a total profit of RS. 1,86,000. Find the difference in the profit earned by them.OptionsRS. 25,000RS. 40,000RS. 87,000RS. 12,000RS. 30,000

Let's solve this step by step:

1. Calculate the total investment of A and B: A's initial investment = RS. 90,000 B's initial investment = RS. 1,20,000 Total initial investment = RS. 90,000 + RS. 1,20,000 = RS. 2,10,000

2. Calculate the additional investment made by A after 4 months: Additional investment by A = RS. 10,000

3. Calculate the investment of A after 4 months: A's investment after 4 months = A's initial investment + Additional investment by A A's investment after 4 months = RS. 90,000 + RS. 10,000 = RS. 1,00,000

4. Calculate the time period for which A and B invested together: Total time period = 4 months + 2 months = 6 months

5. Calculate the investment of B after 2 months: B's investment after 2 months = B's initial investment - RS. 20,000 B's investment after 2 months = RS. 1,20,000 - RS. 20,000 = RS. 1,00,000

6. Calculate the profit earned by A and B: Profit = Total investment * Time period * Rate of profit Total investment = A's investment after 4 months + B's investment after 2 months Total investment = RS. 1,00,000 + RS. 1,00,000 = RS. 2,00,000 Rate of profit = Total profit / Total investment Rate of profit = RS. 1,86,000 / RS. 2,00,000 = 0.93

   Profit earned by A = A's investment after 4 months * Time period * Rate of profit Profit earned by A = RS. 1,00,000 * 6 * 0.93 = RS. 5,58,000

   Profit earned by B = B's investment after 2 months * Time period * Rate of profit Profit earned by B = RS. 1,00,000 * 6 * 0.93 = RS. 5,58,000

7. Calculate the difference in profit earned by A and B: Difference in profit = Profit earned by A - Profit earned by B Difference in profit = RS. 5,58,000 - RS. 5,58,000 = RS. 0

Therefore, the difference in the profit earned by A and B is RS. 0.