A sum of money becomes $\dfrac{5}{4}$ of itself in 5 years. The rate of interest is:

1. 10%

2. 5%

3. 8%

4. 15%

$\dfrac{3}{5}$ part of certain sum is lent at S.I. and the remaining is lent at C.I. If the rate of interest in both the cases is 20%. On the whole the total interest in 1 year is ₹ 1,000 then the sum is:

1. ₹ 2,000

2. ₹ 4,000

3. ₹ 2,500

4. ₹ 5,000

If the interest is compounded half-yearly, the time is:

1. halved

2. doubled

3. tripled

4. not changed

Statement 1: On a certain sum, at the same rate of interest and for the same time period, compound interest is always greater than the simple interest.

Statement 2: In compound interest, the principal remains constant for the whole time period, however the compound interest keeps increasing every year.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.