Formula for Amount(Rate Compounded Semi Annually)

Q.

Find the compound interest on ₹10, 000 in 2 years at 4$\%$ per annum, the interest being compounded half-yearly.

1. ₹895.42

2. ₹824.32

3. ₹866.20

4. ₹836.22

Q.

Compound interest on ₹ 62, 500 for $1\frac{1}{2}$ years at the rate of 8% per annum, compounded half yearly is

1. ₹ 7, 825

2. ₹ 7, 854

3. ₹ 7, 804

4. ₹ 7, 786

Q.

Find the compound interest on ₹ 10, 000 in one year at 4$\%$ per annum, the interest being compounded quarterly.

1. ₹ 400.0401

2. ₹ 406.0401

3. ₹ 410.0401

4. ₹ 414.0401

Q.

Compound interest on a sum of ₹ 15000 in 2.5 years when interest is compounded half-yearly at the rate 10% per annum is

1. ₹ 4, 144 (approx)

2. ₹ 4, 244 (approx)

3. ₹ 4, 344 (approx)

4. ₹ 4, 044 (approx)

Q.

Find the amount which Ram will get on ₹ 4, 096 if he gave it for 18 months at $12\frac{1}{2}\%$ per annum and interest is compounded half yearly.

1. ₹ 5289

2. ₹ 4356

3. ₹ 4, 913

4. ₹ 5634

Q.

Calculate the amount on a sum of ₹4000 for 2 years at an interest rate of 10% per annum compounded half-yearly.

1. ₹4822.025

2. ₹4782.025

3. ₹4862.025

4. ₹4882.025

Q.

Find the compound interest on ₹ 25, 000 for one and a half years at 20% per annum, compounded quarterly.

1. ₹8, 502.39

2. ₹8, 102.39

3. ₹9, 102.39

4. ₹8, 302.39

Q.

Calculate the compound interest and amount on Rs $10,800$ for $3$ years at $12\frac{1}{2}\%$ per annum compounded annually.

Q.

The difference between the simple interest and compound interest compounded half-yearly at a rate of 5% p.a. for 6 months on a deposit of ₹ 5000 will be equal to 0.

1. True

2. False

Q.

Find the amount to be paid for a sum of ₹ 10, 000 for a period 1 and a half years at 8% per annum, compounded quarterly.

1. ₹ 10, 612 (approx.)

2. ₹ 10, 812 (approx.)

3. ₹ 10, 212 (approx.)

4. ₹ 10, 412 (approx.)

Q.

Vasudevan invested ₹60, 000 at an interest rate of 12% per annum compounded half yearly. What amount would he would get after 6 months?

1. ₹63, 300

2. ₹63, 600

3. ₹66, 300

4. ₹66, 600

Q. The S.I. accrued on an amount of Rs. $25,000$ at the end of three years is Rs. $7,500$. What would be the C.I. accrued on the same amount at the same rate in the same period?

1. $7,750$
2. $8,500$
3. $8,275$
4. $8,250$
5. None of these

Q. A sum of Rs.$8,000$ is invested for $1$ years at $10$ % per annum compound interest. Calculate :interest for the second year.

1. $880$
2. $860$
3. $1000$
4. $800$

Q. A man invests Rs. $30,800$ at $5$% per annum compound interest for $3$ years. Calculate the amount standing to his credit at the end of the second year.

Q. Rs. $2000$ amounts to Rs. $2226.05$ in two years at compound interest. The rate of interest is

1. $5.25$ per cent
2. $5.5$ per cent
3. $5.0$ per cent
4. $6.0$ per cent

Q.

Mukesh borrowed $Rs.75000$ from a bank. If the rate of interest is $12\%$ per annum, find the amount he would be paying after $1\frac{1}{2}$ years if the interest is compounded half-yearly.

Q. Calculate the amount and the compound interest on Rs. $16,000$ in $3$ years, when the rates of the interest for successive years are $10\%$, $14\%$ and $15\%$ respectively.

1. Rs. $\mathrm{23.073.60}$ and Rs. $7,073.60$
2. Rs. $\mathrm{23.073.60}$ and Rs. $7,873.60$
3. Rs. $\mathrm{23.873.60}$ and Rs. $7,073.60$
4. Rs. $\mathrm{28.073.60}$ and Rs. $7,073.60$

Q. Lauren puts Rs. $600.00$ into an account to use for school expenses. The account earns $3\%$ interest, compounded annually. How much will be in the account after $6\frac{1}{2}$ years?

1. $527.1$
2. $627.1$
3. $727.1$
4. $827.1$

Q. A man invests Rs. $30,800$ at $5$% per annum compound interest for $3$ years. Calculate the interest for the first year.

Q. A man invests Rs. $5,600$ at $14$% per annum compound interest for $2$ years. Calculate the interest for the first year.

Q. A man invests Rs. $5,600$ at $14$% per annum compound interest for $2$ years. Calculate the amount at the end of the first year.

Q. Lily borrowed Rs. $6000$ for $3$ years at $48\%$ interest compounded quarterly from Chinni. What was the interest paid by Lily to Chinni?

Q.

Compound interest on a sum of ₹ 5000 in 1.5 years when interest is compounded half-yearly at the rate $20\%$ per annum is

1. ₹ 1555

2. ₹ 1755

3. ₹ 1655

4. ₹ 1455

Q. Naresh borrowed Rs. $5,00,000$ at $10$% p.a. compounded half-yearly.
the interest he paid was approx $1,65,500$ find for how much time he borrowed this amount ?

1. $2\frac{1}{2}$ Years
2. $3$ Years
3. $2$ Years
4. $3\frac{1}{2}$

Q. Eden lends Rs. $4000$ to John at an interest rate of only $6\%$ per year compounded quarterly. Find the balance that John has to return at the end of $2$ years.

Q.

Calculate the amount on a sum of ₹8000 for 1 year at an interest rate of $10\%$ per annum compounded half-yearly.

1. ₹8820

2. ₹8880

3. ₹8088

4. ₹8802

Q. What sum will become Rs 9826 in 18 months if the rate of interest is $2\frac{1}{2}\%$ per annum and the interest is compounded half-yearly?
$\left[3Marks\right]$

Q.

A sum of money is put at compound interest for 2 years at $20\%$ p.a. It would fetch ₹ 482 more, if the interest were payable half-yearly, than if it were payable yearly. The sum is

1. ₹ 20000

2. ₹ 25000

3. ₹ 23000

4. ₹ 18000