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

Statement 1: $P\Big(1 + \dfrac{r}{100}\Big)^7 - P\Big(1 + \dfrac{r}{100}\Big)^6$ = Interest accrued in 7th year

Statement 2: C.I. accrued in 7 years = $P\Big(1 + \dfrac{r}{100}\Big)^7$ and C.I. accrued in 6 years = $P\Big(1 + \dfrac{r}{100}\Big)^6$

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.

Statement 1: The population of a town was x in the year 2024 which increases by 10% every year. The population of in the year 2021 was = x $\Big(1 - \dfrac{10}{100}\Big)^3$

Statement 2: If the population increases from year 2021 to year 2024 at the rate of 10%, then corresponding decrease from 2024 to 2021 is 10 x 3%.

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.