Swarn a SME enterprise borrowed a sum of money from a nationalized bank at 10% simple interest per annum and the same amount at 8% simple interest per annum from a microfinance firm for the same period: It cleared the first loan 6 months before the scheduled date of repayment and repaid the second loan just at the end of the scheduled period: If in each case it had to pay Rs. 62100 as amount then how much money and for what time period did it borrow?

The sum that was returned is same in both cases that means interest accrued is same in both cases.

Assume that the duration is 't' years for which amount is borrowed in both case and principal amount is 'P'.

                       $$\frac{P*(t-0.5)*10} {100}$$ = $$\frac{P*t*8} {100}$$

                                t=2.5 years

Principal amount that the enterprise borrowed : 

                      $$P(1+\frac{2*10}{100})$$ =62100

                                P=51750