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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)


Total Questions : 1171 | Page 95 of 118 pages
Question 941.

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:

  1.    Rs. 120
  2.    Rs. 121
  3.    Rs. 122
  4.    Rs. 123
 Discuss Question
Answer: Option B. -> Rs. 121

Amount
= Rs.
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
1600 x
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
1 +
5
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
2
+ 1600 x
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
1 +
5
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
2 x 100
2 x 100
= Rs.
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
1600 x
41
x
41
+ 1600 x
41
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
40
40
40
= Rs.
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
1600 x
41
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
41
+ 1
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
40
40
= Rs.
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
1600 x 41 x 81
A Bank Offers 5% Compound Interest Calculated On Half-yearly...
40 x 40
= Rs. 3321.

A Bank Offers 5% Compound Interest Calculated On Half-yearly... C.I. = Rs. (3321 - 3200) = Rs. 121

Question 942.


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:

  1.    625
  2.    630
  3.    640
  4.    650
 Discuss Question
Answer: Option A. -> 625

Let the sum be Rs. x. Then,



C.I. =
The Difference Between Simple And Compound Interests Compoun...
x
The Difference Between Simple And Compound Interests Compoun...
1 +
4
The Difference Between Simple And Compound Interests Compoun...
2
- x
The Difference Between Simple And Compound Interests Compoun...
=
The Difference Between Simple And Compound Interests Compoun...
676
x
- x
The Difference Between Simple And Compound Interests Compoun...
=
51
x.
100
625
625



S.I. =
The Difference Between Simple And Compound Interests Compoun...
x x 4 x 2
The Difference Between Simple And Compound Interests Compoun...
=
2x
.
100
25



The Difference Between Simple And Compound Interests Compoun...
51x
-
2x
= 1
625
25


The Difference Between Simple And Compound Interests Compoun... x = 625.


Question 943.


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?

  1.    Rs. 2160
  2.    Rs. 3120
  3.    Rs. 3972
  4.    Rs. 6240
  5.    None of these
 Discuss Question
Answer: Option C. -> Rs. 3972

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.



There Is 60% Increase In An Amount In 6 Years At Simple Inte... R =
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
100 x 60
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
= 10% p.a.
100 x 6


Now, P = Rs. 12000. T = 3 years and R = 10% p.a.



There Is 60% Increase In An Amount In 6 Years At Simple Inte... C.I.
= Rs.
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
12000 x
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
1 +
10
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
3
- 1
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
100
= Rs.
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
12000 x
331
There Is 60% Increase In An Amount In 6 Years At Simple Inte...
1000
= 3972.


Question 944.


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

  1.    2
  2.     2 1 2
  3.    3
  4.    4
 Discuss Question
Answer: Option A. -> 2

Amount = Rs. (30000 + 4347) = Rs. 34347.


Let the time be n years.



Then, 30000
The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
1 +
7
The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
n
= 34347
100



The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
107
The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
n
=
34347
=
11449
=
The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
107
The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4...
2
100
30000
10000
100


The Compound Interest On Rs. 30,000 At 7% Per Annum Is Rs. 4... n = 2 years.


Question 945.

What is the difference between the compound interests on Rs. 5000 for 1What Is The Difference Between The Compound Interests On Rs.... years at 4% per annum compounded yearly and half-yearly?

  1.    Rs. 2.04
  2.    Rs. 3.06
  3.    Rs. 4.80
  4.    Rs. 8.30
 Discuss Question
Answer: Option A. -> Rs. 2.04


C.I. when interest
compounded yearly    
= Rs.
What Is The Difference Between The Compound Interests On Rs....
5000 x
What Is The Difference Between The Compound Interests On Rs....
1 +
4
What Is The Difference Between The Compound Interests On Rs....
x
What Is The Difference Between The Compound Interests On Rs....
1 +
What Is The Difference Between The Compound Interests On Rs.... x 4
What Is The Difference Between The Compound Interests On Rs....
What Is The Difference Between The Compound Interests On Rs....
100
100
= Rs.
What Is The Difference Between The Compound Interests On Rs....
5000 x
26
x
51
What Is The Difference Between The Compound Interests On Rs....
25
50
= Rs. 5304.



C.I. when interest is
compounded half-yearly
= Rs.
What Is The Difference Between The Compound Interests On Rs....
5000 x
What Is The Difference Between The Compound Interests On Rs....
1 +
2
What Is The Difference Between The Compound Interests On Rs....
3
What Is The Difference Between The Compound Interests On Rs....
100
= Rs.
What Is The Difference Between The Compound Interests On Rs....
5000 x
51
x
51
x
51
What Is The Difference Between The Compound Interests On Rs....
50
50
50
= Rs. 5306.04


What Is The Difference Between The Compound Interests On Rs.... Difference = Rs. (5306.04 - 5304) = Rs. 2.04


Question 946.

Each of 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 is the rate of interest p.c.p.a.?

  1.    I only
  2.    II and III only
  3.    All I, II and III
  4.    Any two of the three
  5.    I only or II and III only
 Discuss Question
Answer: Option E. -> I only or II and III only


  I.
P x R x 5
= P     What Is The Rate Of Interest P.c.p.a.?     R = 20.
100



 II. P
What Is The Rate Of Interest P.c.p.a.?
1 +
R
What Is The Rate Of Interest P.c.p.a.?
2
- P -
P x R x 2
= 400     What Is The Rate Of Interest P.c.p.a.?     PR2 = 4000000.
100
100



III.
P x R x 1
= 2000     What Is The Rate Of Interest P.c.p.a.?     PR = 200000.
100



What Is The Rate Of Interest P.c.p.a.?
PR2
=
4000000
    What Is The Rate Of Interest P.c.p.a.?     R = 20.
PR
200000


Thus I only or (II and III) give answer.


What Is The Rate Of Interest P.c.p.a.? Correct answer is (E).


Question 947.

Each of 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?

  1.    I only
  2.    I and II only
  3.    II and III only
  4.    I and III only
  5.    None of these
 Discuss Question
Answer: Option A. -> I only

P = Rs. 5000 & T = 2 years.


I. S.I. on Rs. 5000 in 5 years is Rs. 2000.



  
5000 x R x 5
= 2000     What Will Be The Compound Interest Earned On An Amount Of Rs...     R = 8.
100


Thus I only gives the answer.


What Will Be The Compound Interest Earned On An Amount Of Rs... Correct answer is (A).


Question 948.

In each of 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 compound interest earned at the end of 3 years?

  1.    I and II only
  2.    II and III only
  3.    I and III only
  4.    I and Either II or III only
  5.    Any two of the three
 Discuss Question
Answer: Option D. -> I and Either II or III only

  I. gives, S.I for 3 years = Rs. 4500.


 II. gives, Rate = 10% p.a.


III. gives, (C.I.) - (S.I.) = Rs. 465.


Clearly, using I and III we get C.I. = Rs. (465 + 4500).


Thus, II is redundant.



Also, from I and II, we get sum =
What Is The Compound Interest Earned At The End Of 3 Years?...
100 x 4500
What Is The Compound Interest Earned At The End Of 3 Years?...
= 15000.
10 x 3


Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.


Thus, III is redundant.


What Is The Compound Interest Earned At The End Of 3 Years?... Either II or III is redundant.


Question 949.

In each of 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?

  1.    I only
  2.    III only
  3.    I or II only
  4.    II and Either I or III only
  5.    All I, II and III are required
 Discuss Question
Answer: Option D. -> II and Either I or III only

  I. gives, Rate = 5% p.a.


 II. gives, S.I. for 1 year = Rs. 600.


III. gives, sum = 10 x (S.I. for 2 years).


Now I, and II give the sum.


For this sum, C.I. and hence amount can be obtained.


Thus, III is redundant.


Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.


Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.



Thus, Rate =
100 x 1200
= 5% p.a.
2 x 12000


Thus, C.I. for 2 years and therefore, amount can be obtained.


Thus, I is redundant.


Hence, I or III redundant.


Question 950.


What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

  1.    Rs. 9000.30
  2.    Rs. 9720
  3.    Rs. 10123.20
  4.    Rs. 10483.20
  5.    None of these
 Discuss Question
Answer: Option C. -> Rs. 10123.20


Amount
= Rs.
What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af...
25000 x
What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af...
1 +
12
What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af...
3
What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af...
100
= Rs.
What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af...
25000 x
28
x
28
x
28
What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af...
25
25
25
= Rs. 35123.20


What Will Be The Compound Interest On A Sum Of Rs. 25,000 Af... C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20


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