In 4 year Rs.6000 amount became Rs.8500 for some rate of simple interest.Then period required for Rs.1200 to become an amount of 1825 at same rate of interest is

Given, Principal amount = Rs.6000

Time = 4 years

Total amount = Rs.8500

Let the rate of interest = R

$$\Rightarrow$$ 8500 - 6000 = $$\frac{6000\times4\times R}{100}$$

$$\Rightarrow$$ 2500 = 240R

$$\Rightarrow$$ R = $$\frac{125}{12}$$%

Let the time required for Rs.1200 to become Rs.1825 at $$\frac{125}{12}$$% is T

$$\Rightarrow$$  1825 - 1200 = $$\frac{1200\times T\times\frac{125}{12}}{100}$$

$$\Rightarrow$$  625 = $$\frac{12\times T\times125}{12}$$

$$\Rightarrow$$  T = 5 years

Hence, the correct answer is Option A