Calculation of Equal Installments for Loan Repayment

Given:
Loan amount (P) = €50,000
Rate of interest (R) = 10% per annum
Time period (n) = 5 years
Number of installments (m) = 5

Formula:
The formula to calculate the equal installments for loan repayment is:
EMI = P * R * (1+R)^n / [(1+R)^n - 1]

where EMI = Equal Monthly Installment

Calculation:
Substituting the given values in the formula, we get:
EMI = 50,000 * 0.1 * (1+0.1)^5 / [(1+0.1)^5 - 1]
EMI = €12,834.72

Therefore, the amount of equal installments for loan repayment is €12,834.72.

Calculation of Total Amount Repaid

Given:
Loan amount (P) = €50,000
Rate of interest (R) = 10% per annum
Time period (n) = 5 years
Number of installments (m) = 5
Equal Monthly Installment (EMI) = €12,834.72

Formula:
The formula to calculate the total amount repaid is:
Total amount = EMI * m

where m = number of installments

Calculation:
Substituting the given values in the formula, we get:
Total amount = 12,834.72 * 5
Total amount = €64,173.60

Therefore, the total amount repaid by Madhu is €64,173.60.

Verification of Options

Now, we need to verify the given options to find the correct answer.

Option A: €19,510
Total amount repaid in 5 installments = 19,510 * 5 = €97,550
This is not equal to the total amount repaid by Madhu (€64,173.60).
Therefore, option A is incorrect.

Option B: €19,430
Total amount repaid in 5 installments = 19,430 * 5 = €97,150
This is not equal to the total amount repaid by Madhu (€64,173.60).
Therefore, option B is incorrect.

Option C: €19,310
Total amount repaid in 5 installments = 19,310 * 5 = €96,550
This is not equal to the total amount repaid by Madhu (€64,173.60).
Therefore, option C is incorrect.

Option D: €19,630
Total amount repaid in 5 installments = 19,630 * 5 = €98,150
This is not equal to the total amount repaid by Madhu (€64,173.60).
Therefore, option D is incorrect.

Conclusion:
None of the given options is correct. The correct answer is €12,834.72.