Compounded Rate Half Yearly and Monthly

Q.

Compound Interest Formula

$A=P{\left(1+\frac{r}{100}\right)}^t$

Q. If ₹ 15, 000 is invested for $1\frac{1}{2}$ years at 12% per annum compounded half yearly, find the amount received after 1$\frac{1}{2}$ years.

1. Rs 17, 865.24
2. Rs 17, 965.24
3. Rs 18, 865.24
4. Rs 18, 865.24

Q. If ₹ 200 per month deposited in a bank under Recurring Deposit Scheme with interest rate 11% per annum for 3 years then interest obtained is

1. ₹1221
2. ₹1200
3. ₹1000

Q. If ₹ 12, 000 is invested for $1\frac{1}{2}$ years at 10% per annum, find the amount received after $1\frac{1}{2}$ years.

1. Rs.13, 888.5
2. Rs.14, 891.7
3. Rs.13, 891.5
4. Rs.13, 591.8

Q. If Mohan invested ₹ 18000 in a bank for $\frac{1}{2}$ year which give compound interest at a rate of 3% quarterly, what is the amount that Mohan will receive after $\frac{1}{2}$ year ?

1. Rs 19096.2
2. Rs 21, 096.2
3. Rs 19, 196.2
4. Rs 19, 396.3

Q.

Question 79(i)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Interest if period is one year.

Q.

If the interest is compounded half-yearly and the interest rate is a positive value,

C.I of 2nd half-year is more than the C.I of the first half-year.

1. True

2. False

Q.

What amount is to be repaid on a loan of Rs. 12, 000 for 1 and half years at $10\%$ per annum compounded half yearly? [3 MARKS]

Q. If ₹ 15, 000 is invested for $1\frac{1}{2}$ years at 12% per annum compounded half yearly, find the amount received after 1$\frac{1}{2}$ years.

Q. If ₹ 16, 000 is invested for $\frac{3}{4}$ year at 16% per annum, find the amount received after $\frac{3}{4}$ year.

1. Rs 17, 897.82
2. Rs 17, 997.82
3. Rs 17, 898.82
4. Rs 17, 992.82

Q.

Question 104

Rahim borrowed ₹1024000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Q. Find the difference between compound interest and simple interest on an amount of $₹15,000$ for $2$ years at $8$% per annum.
[3 Marks]

Q. Rahim borrowed ₹10, 24, 000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Q. Edwin opened a savings account and deposited Rs. $3000$ as principal. The account earns $5\%$ interest, compounded annually. What is the balance after $10$ years?

1. $4886$
2. $4566$
3. $4658$
4. $5460$

Q. Babu opened a savings account and deposited Rs. $1200.00$ as principal. The account earns $10\%$ interest, compounded annually. What is the balance after $2\frac{1}{2}$ years?

1. Rs. $1522.87$
2. Rs. $1400.67$
3. Rs. $1456.37$
4. None of these

Q. Question 5 (ii)
Vasudevan invested Rs 60, 000 at an interest rate of 12% per annum compounded half yearly. What amount would he get:
(ii) After 1 year?

Q.

Question 85(iv)

If principal = Rs. 100000,
Rate if interest = 10 % compounded half - yearly.
Amount after one year.

Q. If ₹ 15, 000 is invested for $1\frac{1}{2}$ years at 12% per annum compounded half yearly, find the amount received after 1$\frac{1}{2}$ years.

Q.

A sum of ₹12, 000 is invested for 1.5 years which will be compounded half yearly at a rate of 10%. Find the amount obtained.

1. ₹13, 890

2. ₹13, 891.50
3. ₹13, 591
4. ₹14, 891.50

Q. A bank pays 5% rate of interest semi-annually, interest being calculated half yearly. A sum of Rs. 400 is deposited in the bank. The amount at the end of 1 year will be

1. Rs. 440
2. Rs. 439
3. Rs. 441.00
4. Rs. 442

Q. The difference between simple interestand compound interest on a sum for 2 years at $8\%$ per annum is Rs. 160.If the interests were compounded half yearly, the difference in interests in two years will be nearly

1. Rs. 5012.2
2. Rs. 6122.4
3. Rs. 2468.2
4. Rs. 4867.2

Q. Ashima took a loan of ₹1, 00, 000 at 12% per annum compounded half-yearly. She paid ₹1, 12, 360. If $(1.06{)}^2$ is equal to 1.1236, then find the period for which she took the loan.

Q. In compound interest, when the interest is compounded half-yearly, the principal changes every.

1. 4 months
2. 6 months
3. 8 months
4. 12 months

Q. What is the difference between the compound interests on ₹10, 000 for 2 years at 20% per annum compounded yearly and half-yearly?

1. ₹241

2. ₹233.33

3. ₹400

4. ₹4000

Q. Rahim borrowed ₹10, 24, 000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Q. is the compound interest received when ₹64, 000 is invested for 1.5 years at 5% per annum compounded half yearly.

1. ₹4919
2. ₹4921
3. ₹5118

Q. Calculate the amount on a sum of ₹ 6000 for 1 year at an interest rate of $10\%$ per annum compounded half-yearly.

Q. Question 5 (i)
​Vasudevan invested Rs. 60, 000 at an interest rate 12% per annum compounded half yearly. What amount would he get:
(i) After 6 months?

Q. Anitha borrowed Rs.$400$ from her friend at the rate of $12\%$ per annum for $2.5$ years.Find the interest and amount paid by her.

Q. Ramesh borrowed Rs. 8000 for 3 years at 1% per annum. The amount he has to pay to clear off his debt is

1. Rs. 9260
2. Rs. 7240
3. Rs. 9240
4. Rs.8240