Finding CI When Rate Compounded Annually

Q.

Find the difference between the simple interest and compound interest on rupees 2500 for 2 years at 4% per annum compound interest being reckoned semiannually

Q. What is the formula for compound interest?

1. $C.I=P(1+\frac{r}{100}{)}^n$
2. $C.I=P(1+\frac{100}{r}{)}^n$
3. $C.I=P(1+\frac{r}{10}{)}^n$
4. $C.I=P(1+\frac{r}{100}{)}^n-P$

Q.

The compound interest on Rs. 30, 000 at 7% per annum is Rs. 4347. The period (in years) is:

1. 3

2. 3.5

3. 1

4. 2

Q.

At what rate per cent will a sum of Rs. 4, 000 yield Rs. 1, 324 as compound interest in 3 years?

Q.

Compound interest on a certain sum of money at 5% per annum for two years is Rs. 246. Calculate simple interest on the same sum for 3 years at 6% per annum.

Q.

The simple interest on certain sum for 3 years is rupees 225 and the compound interest on the sum at the same rate for 2 years is Rs 153 find the rate of interest and principal

Q.

In how many years will Rs. 7, 000 amount to Rs. 9, 317 at 10 per cent per annum compound interest ?

Q.

In what time Rs 800 amount to Rs 882 at 5% p.a. compounded annually?

1. 3 years

2. 2 years

3. 2 half-years

4. 1 year

Q.

On what sum, the C.I. for 3 years at 10% p.a. compounded annually, will be Rs 1655?

1. Rs 4, 500

2. Rs 6, 000

3. Rs 5, 000

4. Rs 5, 500

Q.

Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1, 655.

Q.

What is the compound interest on a principal of Rs 5000 at the rate of 10% for 2 years?

1. Rs. 1100

2. Rs. 1050

3. Rs. 1000

4. Rs.1155

Q.

A man bought a land for ₹180000 and a car for ₹320000 at the same time. The blue of the pot of land grows uniformly at the rate of 30% per annum while the value of the car depriciates by 20% in the first year and by 15% thereafter. If he sells the land as well as the car after 3 years what will be his profit or loss

Q.

Find the difference between compound interest on Rs. 8, 000 in 2 years and at 5% per annum.

Q.

At what rate per cent per annum will Rs. 6, 000 amount to Rs. 6, 615 in 2 years when interest is compounded annually ?

Q.

At what rate per cent compound interest, does a sum of money become 1.44 times of itself in 2 years ?

Q.

The compound interest on₹30000 at $8\%$ per annum is ₹4992. The period (in years) is_____.

1. $2\frac{1}{2}$

2. 2

3. 4

4. 3

Q.

Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at$4\%$ per annum.

1. Rs. 576 and Rs. 685

2. Rs. 676 and Rs. 645

3. Rs. 642 and Rs. 625

4. Rs. 676 and Rs. 625

Q. A man opened a recurring deposit account with a bank and deposited Rs 250 per month. If the rate of interest is 12% per annum and the bank pays Rs 10665 on maturity, find the time for which he held the account.

Q.

If $35\%$ of a natural area is to be developed, leaving $500$ $acres$ untouched, how many acres are to be developed?

Q.

Find the principal, if the C.I. compounded, annually at the rate of 10% p.a. for 3 years is Rs 331.

1. Rs 1331

2. Rs 1000

3. Rs 1011

4. Rs 1300

Q.

Divide Rs. 28, 730 between A and B so that when their shares are lent out at 10 per cent compound interest compounded per year, the amount that A receives in 3 years is the same as what B receives in 5 years.

Q.

Find the amount on Rs. 24000 compounded semi- annually for one and half years at the rate of $10\%$ per annum.

1. Rs. 37783

2. Rs. 26883

3. Rs. 32686

4. Rs. 27783

Q.

A sum of Rs 100 is compounded annually at the rate of 10% for two years. The equivalent rate of simple interest to earn the same interest is

1. 10.5%

2. 10%

3. 9.5%

4. 11%

Q.

The Simple interest on a certain sum for 2 years at 20% per annum is Rs. 160. The corresponding compound interest is

1. Rs. 88

2. Rs. 176

3. Rs. 126

4. Rs. 150

Q.

Find the time, in years, in which Rs. 4, 000 will produce Rs. 630.50 as compound interest at 5 per cent p.a. interest being compounded annually.

Q.

A man invested 10000 rupees, split into two schemes , at annual rates of interests 8% and 9%. After one year he got 875 rupees as interest from both. How much did he invest in each?

Q.

On what sum of money will the compound interest for 2 years at 5 per cent per annum amount to Rs. 768.75 ?

Q. Sahil opened a Recurring Deposit Account in a bank and deposits Rs 150 per month for 8 months. At the time of maturity, he received Rs 1, 236. Find the rate of interest.
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Q. Mrs Goswami deposits Rs 1000 every month in a recurring deposit account for 3 years at 8% interest per annum. Find the matured value.
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Q.

A sum of Rs. 44, 200 is divided between John and Smith, 12 years and 14 years old respectively, in such a way that if their portions be invested at 10 percent per annum compound interest, they will receive equal amounts on reaching 16 years of age.

(i) What is the share of each out of Rs. 44, 200 ?

(ii) What will each receive, when 16 years old ?