Quantitative Aptitude - Compound Interest
Exam Duration: 45 Mins Total Questions : 30
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
Sam invested Rs. 15,000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by sam at the end year will be:
- (a)
Rs. 16,500
- (b)
Rs. 16,525.50
- (c)
Rs. 16,537.50
- (d)
Rs. 18,150
- (e)
None of these
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 difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:
- (a)
Rs. 2.50
- (b)
Rs. 3
- (c)
Rs. 3.75
- (d)
Rs. 4
- (e)
None of these
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
- (a)
6%
- (b)
6.5%
- (c)
7%
- (d)
7.5%
The principal that amounts to Rs.4913 in 3 years at \(6{1\over4}\)% per annum compound interest compounded annually, is:
- (a)
Rs. 3096
- (b)
Rs. 4076
- (c)
Rs. 4085
- (d)
Rs. 4096
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
The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
- (a)
Rs. 1550
- (b)
Rs. 1650
- (c)
Rs. 1750
- (d)
Rs. 2000
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 difference between compound interset and simple interest on an amount of Rs. 15,000 for 2 years is Rs.96. What is the rate of interest per annum?
- (a)
8
- (b)
10
- (c)
12
- (d)
Cannot be determined
- (e)
None of these
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:
- (a)
625
- (b)
630
- (c)
640
- (d)
650
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
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
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 money invested at compound interest amounts to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is:
- (a)
\(2{1\over2}\)%
- (b)
4%
- (c)
5%
- (d)
\(6{2\over3}\)%
A sum of money invested at compound interest amounts to Rs.4624 in 2 years and to Rs.4913 in 3 years. The sum of money is:
- (a)
Rs. 4096
- (b)
Rs. 4260
- (c)
Rs. 4335
- (d)
Rs. 4360
A sum of money become Rs.13,380 after 3 years and Rs.20,070 after 6 years on compound interest. The sum is:
- (a)
Rs. 8800
- (b)
Rs. 8890
- (c)
Rs. 8920
- (d)
Rs. 9040
If sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 27 times in:
- (a)
8 years
- (b)
12 years
- (c)
24 years
- (d)
36 years
What annual payment will discharge a debt of Rs.1025 due in 2 years at the rate of 5% compound interest?
- (a)
Rs. 550
- (b)
Rs. 551.25
- (c)
Rs. 560
- (d)
Rs. 560.75
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 is the compound interest earned by Robert at the end of 2 years?
I. Simple interest at the same rate for one year is Rs. 1020 and the rate of interest is 12 p.c.p.a
II. The amount invested is Rs.8500.
- (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 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 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