In how many years, The simple interest earned on Rs. 6000 at an interest rate of 5% per annum will be equal to simple interest earned on Rs. 2000 at the rate of 4% per annum for 30 years?

8 years

We know ,

Simple Interest = \(\frac{Principal ×Rate × Time }{100}\)

= \(\frac{2000 ×4× 30 }{100}\)

= 2400

Now ,

The simple interest earned on Rs. 6000 at an interest rate of 5% per annum is equals to Rs. 2400.

So , 2400 = \(\frac{6000 ×5× Time }{100}\)

Time = \(\frac{240000}{6000× 5}\)

= 8 years