A man deposited Rs.10000 in two different banks at the same time from his savings. The yearly interest rate of one bank is 6% and other is 7%. If after 2years the man gets Rs.1280 as simple interest, then how much money didhe deposit in each bank?

A man deposited Rs.10000 in two different banks at the same time from his savings. The yearly interest rate of one bank is 6% and other is 7%. If after 2years the man gets Rs.1280 as simple interest, then how much money didhe deposit in each bank?

Total Interest is 1280 rupees

let a man save 10000 rs in bank for 6% for 2 years

Interest=Principal *years*interest rate=10000*2*0.06=1200

but he got 80 rupees extra , this amount is due to 1% high interest rate(7-6) in second bank

let 100 rs

princpal=100 rupees, years=2 interest rate=1%

interest=100*2*0.01=2 rupees

for every 100 rupees in second bank man got 2 rupees more interest.

But he got 80 rupees more

=> princpal in second bank=80/2*100=4000

princpal in first bank=10000-4000=6000.