1. **Initial Loan & Payment Details**:
- Original Loan Amount: 150,000
- Interest Rate (APR): 12%
- Monthly Interest Rate: \frac{12}{12} = 1\% = 0.01
- First Installment Paid: 55,000 in April
2. **Calculating Remaining Balance Before Re-Structuring**:
- Remaining Balance After April Payment (No Interest Considered for April):
150,000 - 55,000 = 95,000
3. **Paying the Balance in Two Equal Installments**:
- Since the loan should be cleared in two installments, simply divide the remaining balance by 2.
- Each installment:
\frac{95,000}{2} = 47,500
4. **Interest on Remaining Balance Between April and Installment Period**:
- Since there's no intermediate payment between the settled payment for April and the restructured installments in October and November, we assume interest needs to be recalculated on the unpaid balance.
- Adding accumulated interest from May to October on the remaining balance:
- Remaining Balance: 95,000
- Interest accumulation over 5 months on balance:
\text{Future Value (FV)} = 95,000 \times (1 + 0.01)^5
- \text{FV} = 95,000 \times 1.0510100501 \approx 99,845.95
5. **Final Payments**:
- Divide 99,845.95 equally over the two months:
\frac{99,845.95}{2} \approx 49,922.97 per month.
- Since we need to pay in two equal amounts aligning to business scenarios, we can correctly round this amount to manageable numbers relative to original debts:
- Final amount rounded: \approx S/. 50,000 each for two payments.
So, based on unpaid interest and redistribution of the loan, suitable equal payments in general business perspectives for October and November would be calculated around S/. 50,000 each to cover any inconsistencies due to challenge beyond the direct problem stated.