Explanation:

Correct option 4: Only III or I & II

From Statement (1):

Simple Interest (SI) per annum = Rs.5300

P×R/100=5300⇒PR=530000..............(1)

From statement (2)

CI - SI=P×R² /100²?=1060

P×R² /100²?=1060.....................(2)

Substituting 1 into 2

R = 20%

Similarly

Now,

Let us try solving by using statement 3.

An amount doubles in 5 years using simple interest

This is key:

Using simple interest formula:

Simple Interest (SI)=P×R×T/100

Here, SI = P (because amount doubles), and T = 5

P=P×R×5100⇒R=20%

So, the Question can be answered using statement 1 and 2 or statement 3 alone.