Assertion (A) : The simple interest on a certain sum is $\dfrac{9}{16}$ of the principal. If the number representing the rate of interest in percent and the time in year are equal then the time for which the principle is lent out is $7\dfrac{1}{2}$ years.

Reason (R) : In simple interest,

Time = $\dfrac{\text{S.I.} \times 100}{\text{\text{Principal}} \times \text{Rate}}$.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A) : The simple interest on ₹ 15,000 in 2 years at 6% p.a. is ₹ 1,800. Then compound interest on the same sum at the same rate of interest for 2 years will never be less than ₹ 1,800.

Reason (R) : For a given principal, rate and time, both simple interest and compound interest are equal for the 1^st year.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A) : On ₹ 8,750 at 8% p.a., the simple interest for 1^st year is equal to the simple interest for 4^th year.

Reason (R) : Simple interest for 4^th year = Amount at the end of 4^th year - original sum.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Mohan lends ₹ 4,800 to John for $4\dfrac{1}{2}$ years and ₹ 2,500 to Shyam for 6 years and receives a total sum of ₹ 2,196 as interest. Find the rate per cent per annum, provided it is the same in both the cases.