Select the correct answerMurthy and Sastry started a business by investing RS.80000 and RS. 100000 respectively. After 5 months invested 20000 more and after one more month Sastry with draw RS. 20000. At the end of 9 months they wanted to divided the profit according to the capitals they invested and Sastry got RS.2000 more than Murthy. Find the total profit.OptionsRS.75000RS.82000RS.80000RS. 70,000RS.61500

Let's solve the problem step by step:

1. Initial investments:

   • Murthy invested RS. 80,000
   • Sastry invested RS. 100,000

2. After 5 months, they invested an additional RS. 20,000 each:

   • Murthy's total investment: RS. 80,000 + RS. 20,000 = RS. 100,000
   • Sastry's total investment: RS. 100,000 + RS. 20,000 = RS. 120,000

3. After one more month (6 months in total), Sastry withdrew RS. 20,000:

   • Murthy's total investment remains RS. 100,000
   • Sastry's total investment: RS. 120,000 - RS. 20,000 = RS. 100,000

4. At the end of 9 months, they wanted to divide the profit according to their capitals. Sastry received RS. 2,000 more than Murthy.

Let's assume the total profit is P.

5. Profit ratio:

   • Murthy's profit share: (Murthy's total investment / Total investment) * P
   • Sastry's profit share: (Sastry's total investment / Total investment) * P

6. According to the given information, Sastry received RS. 2,000 more than Murthy:

   • Sastry's profit share - Murthy's profit share = RS. 2,000

7. Substitute the profit shares into the equation:

   • [(Sastry's total investment / Total investment) * P] - [(Murthy's total investment / Total investment) * P] = RS. 2,000

8. Simplify the equation:

   • (Sastry's total investment - Murthy's total investment) * (P / Total investment) = RS. 2,000

9. Substitute the values:

   • (RS. 100,000 - RS. 100,000) * (P / (RS. 100,000 + RS. 100,000)) = RS. 2,000

10. Simplify further:

• 0 * (P / RS. 200,000) = RS. 2,000

11. Since the left side of the equation is zero, it implies that RS. 2,000 = RS. 2,000.

12. Therefore, the equation is satisfied for any value of P.

Conclusion: The total profit can be any value, so none of the given options (RS. 75,000, RS. 82,000, RS. 80,000, RS. 70,000, RS. 61,500) can be determined based on the given information.

Let's solve the problem step by step:

1. Initial investments:

   • Murthy invested RS. 80,000
   • Sastry invested RS. 100,000

2. After 5 months, they invested an additional RS. 20,000 each:

   • Murthy's total investment: RS. 80,000 + RS. 20,000 = RS. 100,000
   • Sastry's total investment: RS. 100,000 + RS. 20,000 = RS. 120,000

3. After one more month (6 months in total), Sastry withdrew RS. 20,000:

   • Murthy's total investment remains RS. 100,000
   • Sastry's total investment: RS. 120,000 - RS. 20,000 = RS. 100,000

4. At the end of 9 months, they wanted to divide the profit according to their capitals. Sastry received RS. 2,000 more than Murthy.

Let's assume the total profit is P.

5. Profit ratio:

   • Murthy's profit share: (Murthy's total investment / Total investment) * P
   • Sastry's profit share: (Sastry's total investment / Total investment) * P

6. According to the given information, Sastry received RS. 2,000 more than Murthy:

   • Sastry's profit share - Murthy's profit share = RS. 2,000

7. Substitute the profit shares into the equation:

   • [(Sastry's total investment / Total investment) * P] - [(Murthy's total investment / Total investment) * P] = RS. 2,000

8. Simplify the equation:

   • (Sastry's total investment - Murthy's total investment) * (P / Total investment) = RS. 2,000

9. Substitute the values:

   • (RS. 100,000 - RS. 100,000) * (P / (RS. 100,000 + RS. 100,000)) = RS. 2,000

10. Simplify further:

• 0 * (P / RS. 200,000) = RS. 2,000

11. Since the left side of the equation is zero, it implies that RS. 2,000 = RS. 2,000.

12. Therefore, the equation is satisfied for any value of P.

Conclusion:

• The total profit can be any value, as long as Sastry receives RS. 2,000 more than Murthy.

Therefore, the correct answer is: The total profit cannot be determined from the given information.