The difference between compound interest for a year payable half-yearly and simple interest on a certain sum of money lent out at 10% for a year is ₹ 15. Find the sum of money lent out.

The ages of Pramod and Rohit are 16 years and 18 years respectively. In what ratio must they invest money at 5% p.a. compounded yearly so that both get the same sum on attaining the age of 25 years ?

The difference between C.I. and S.I. at 10% in 2 years on ₹ 100 is:

1. ₹ 1

2. ₹ 41

3. ₹ 00

4. none of these

A certain sum of money (₹ P) is lent for $3\dfrac{1}{2}$ years at r% C.I. compounded half yearly. The interest accrued will be:

1. $P\Big(1 + \dfrac{r}{100}\Big)^{\dfrac{7}{2}} - P$

2. $P\Big(1 + \dfrac{r}{100}\Big)^3 \times \Big(1 + \dfrac{r}{2 \times 100}\Big)^1 - P$

3. $P\Big(1 + \dfrac{r}{2 \times 100}\Big)^{\dfrac{7}{2}} - P$

4. $P\Big(1 + \dfrac{r}{2 \times 100}\Big)^7 - P$