Compound Interest
Exam Duration: 45 Mins Total Questions : 30
Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?
- (a)
Rs. 8600
- (b)
Rs. 8620
- (c)
Rs.8800
- (d)
Rs. 8840
- (e)
None of these
The compound interest on Rs. 20,480 at \(6{1\over4}\)% per annum for 2 years 73 days, is :
- (a)
Rs. 2929
- (b)
Rs. 3000
- (c)
Rs. 3131
- (d)
Rs. 3636
A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
- (a)
Rs. 565.25
- (b)
Rs. 635
- (c)
Rs. 662.02
- (d)
Rs. 666.50
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is
- (a)
Rs. 120
- (b)
Rs. 121
- (c)
Rs. 122
- (d)
Rs. 123
What is the difference between the compound interests on Rs.5000 for \(1{1\over2}\) years at 4% per annum compounded yearly and half yearly?
- (a)
Rs. 2.04
- (b)
Rs. 3.06
- (c)
Rs. 4.80
- (d)
Rs. 8.30
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same rate and for the same time?
- (a)
Rs. 51.25
- (b)
Rs. 52
- (c)
Rs. 54.25
- (d)
Rs. 60
The present worth of Rs.169 due in 2 years at 4% per annum compound interest is:
- (a)
Rs. 150.50
- (b)
Rs. 154.75
- (c)
Rs. 156.25
- (d)
Rs. 158
If the compound interest on a sum for 2 years at \(12{1\over2}\)% per annum is Rs. 510, the simple interest on the same sum at the same rate for the same period of time is:
- (a)
Rs.400
- (b)
Rs. 450
- (c)
Rs. 460
- (d)
Rs. 480
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The Simple interest on the same sum for double the time at half the rate percent per annum is:
- (a)
Rs. 400
- (b)
Rs. 500
- (c)
Rs. 600
- (d)
Rs. 800
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs.12,000 after 3 years at the same rate?
- (a)
Rs. 2160
- (b)
Rs. 3120
- (c)
Rs. 3972
- (d)
Rs. 6240
- (e)
None of these
The compound interest on a sum of money for 2 years is Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound interest and the simple interest for 3 years will be:
- (a)
Rs. 48
- (b)
Rs. 66.56
- (c)
Rs. 98.56
- (d)
None of these
The difference between compound interest and simple interest on a sum for 2 years at 10% per annum, when the interest is compounded annually is Rs.16. If the interest were compounded half-yearly, the difference in two interests would be:
- (a)
Rs. 24.81
- (b)
Rs. 26.90
- (c)
31.61
- (d)
Rs. 32.40
A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs. 482 more, if the interest was payable half-yearly than if it was payable annually. The sum is:
- (a)
Rs. 10,000
- (b)
Rs. 20,000
- (c)
Rs. 40,000
- (d)
Rs. 50,000
A person lent out a certain sum on simple interest and the same sum on compound interest at a certain rate of interest per annum. He noticed that the ratio between the difference of compound interest and simple interest of 3 years and that of 2 years is 25:8. The rate of interest per annum is :
- (a)
10%
- (b)
11%
- (c)
12%
- (d)
\(12{1\over2}\)%
Mr. Dua invested money in two schemes A and B offering compound interest @ 8 p.c.p.a. and 9 p.c.p.a. respectively. If the total amount of interest accrued through two schemes together in two years was Rs.4818.30 and the total amount invested was Rs.27,000, what was the amount invested in scheme A?
- (a)
Rs. 12,000
- (b)
Rs. 13,500
- (c)
Rs. 15,000
- (d)
Cannot be determined
- (e)
None of these
A sum of Rs.12,000 deposited at compound interest doubles itself in 5 years. After 20 years, it will become:
- (a)
Rs. 96,000
- (b)
Rs. 1,20,000
- (c)
Rs. 1,24,000
- (d)
Rs. 1,92,000
A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in:
- (a)
7 years
- (b)
10 years
- (c)
15 years
- (d)
20 years
A man borrows Rs.12,500 at 20% compound interest. At the end of every year he pays Rs.2000 as part repayment. How much does he still owe after three such instalments?
- (a)
Rs. 12,000
- (b)
Rs. 12,864
- (c)
Rs. 15,600
- (d)
None of these
The difference between the compound interest and the simple interest earned on a sum of money at the end of 4 years is Rs. 256.40. To find out the sum, which of the following informations given in the statements P and Q is/are necessary?
P: Amount of simple interest accrued after 4 years.
Q: Rate of interest per annum.
- (a)
Only P is necessary
- (b)
Only Q is necessary
- (c)
Either P or Q is necessary
- (d)
Neither P nor Q is necessary
- (e)
Both P and Q are necessary
The questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements
What is the rate of compound interest?
I. The principal was invested for 4 years.
II. The earned interest was Rs.1491.
- (a)
If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
If the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
If the data even in both Statements I and II together are not sufficient to answer the question
- (e)
If the data in both statements I and II together are necessary to answer the question.
The questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements
What will be the compounded amount?
I. Rs. 200 were borrowed for 192 months at 6% compounded annually.
II. Rs. 200 were borrowed for 16 years at 6%.
- (a)
If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
If the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
If the data even in both Statements I and II together are not sufficient to answer the question
- (e)
If the data in both statements I and II together are necessary to answer the question.
The questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements
What is the total compound interest accrued on a sum of money after 5 years?
I. The sum was Rs.20,000
II. The total amount of simple interest on the sum after 5 years was Rs.4000.
- (a)
If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
If the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
If the data even in both Statements I and II together are not sufficient to answer the question
- (e)
If the data in both statements I and II together are necessary to answer the question.
The questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements
What was the total compound interest on the sum after 3 years?
I. The interest after one year was Rs. 100 and the sum was Rs. 1000
II. The difference between simple and compound interest on a sum of Rs. 1000 at the end of 2 years was Rs. 10
- (a)
If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
If the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
If the data even in both Statements I and II together are not sufficient to answer the question
- (e)
If the data in both statements I and II together are necessary to answer the question.
The questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements
An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate?
I. The rate of interest was 8 p.c.p.a
II. The total amount of simple interest was Rs.1200.
- (a)
If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
If the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
If the data even in both Statements I and II together are not sufficient to answer the question
- (e)
If the data in both statements I and II together are necessary to answer the question.
The questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements
What was the rate of interest on a sum of money?
I. The sum fetched a total of Rs.2522 as compound interest at the end of 3 years.
II. The difference between the simple interest and the compound interest at the end of 2 years at the same rate was Rs.40.
- (a)
If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- (b)
If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- (c)
If the data either in Statement I or in Statement II alone are sufficient to answer the question
- (d)
If the data even in both Statements I and II together are not sufficient to answer the question
- (e)
If the data in both statements I and II together are necessary to answer the question.
The questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question:
A sum of money is put at compound interest. What is the rate of interest?
I. The sum amounts to Rs. 5290 in 2 years.
II. The sum amounts to Rs. 6083.50 in 3 years.
III. The sum is Rs. 4000.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
Any two of the three
- (e)
I and III only, or II and III only
The questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question:
What will be the compound interest earned on an amount of Rs.5000 in 2 years?
I. The simple interest on the same amount at the same rate of interest in 5 years in Rs. 2000.
II. The compound interest and the simple interest earned in one year is the same
III. The amount becomes more than double on compound interest in 10 years.
- (a)
I only
- (b)
I and II only
- (c)
II and III only
- (d)
I and III only
- (e)
None of these
The following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read, the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.
What would be the difference between the simple interest and the compound interest on a sum of money at the end of four years?
I. The rate of interest is 5 p.c.p.a.
II. The sum fetches a total of Rs. 2000 as simple interest at the end of 8 years.
III. The difference between the simple interest and the compound interest at the end of 2 years is Rs. 12.50.
- (a)
II only
- (b)
III only
- (c)
II or III only
- (d)
All I, II and III are required
- (e)
None of these
The following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read, the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.
Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?
I. The rate of interest is 5 p.c.p.a.
II. Simple interest fetched on the same amount in one year is Rs.600
III. The amount borrowed is 10 times the simple interest in 2 years.
- (a)
I only
- (b)
III only
- (c)
I or II only
- (d)
I or III only
- (e)
All I, II and III are required
The following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read, the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.
What is the total compound interest earned at the end of 3 years?
I. simple interest earned on that amount at the same rate and for the same period is Rs. 4500
II. The rate of interest is 10 p.c.p.a
III. Compound interest for 3 years is more than the simple interest for that period by Rs. 465.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
Either II and III only
- (e)
Any two of the three