# A man borrowed Rs.55000 from two banks under compound interest, compounded annually. One bank charged interest at the rate of 8% per year and the other bank at 12% per year. If at the end of the year the man paid Rs.4900 as the total interest to the two banks, how much loan did he take from the first bank?   Option 1)   Rs.47500   Option 2)   Rs.42500   Option 3)   Rs.32500   Option 4)   Rs.45200   Option 5)   Rs.12500

Let if we lent the whole sum at 12 % of interest $=\frac{ 12}{100} \times 55000 = 6600 Rs.$
Difference B/W origibal and assumed $= 1700$
Is is because of difference in rate of interest $= 12 - 8 = 4$
So  the sum is lent at 8 % interest$= \frac{1700}{4}\times 100 = 42500$