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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)

Total Questions : 1171 | Page 39 of 118 pages
Question 381.

A sum invested at 5% simple interest per annum grows to Rs. 504 in 4 years . The same amount at 10%  simple interest per annum  in `2 1/2` years will  grow to :


  1.    Rs. 420
  2.    Rs. 450
  3.    Rs. 525
  4.    Rs. 550
 Discuss Question
Answer: Option C. -> Rs. 525

Let the sum  be Rs. `x` , Then, S.I. = Rs. (504 -`x`)

`:.`        `((x xx 5 xx 4)/(100))  =  504 - x`

`hArr     20x = 50400 - 100`

`hArr      120x =  50400`

`hArr        x = 420

Now , P =  Rs. 420, R = 10% ,     T = `5/2` years

S.I.  =  Rs. `((420 xx 10)/(100) xx 5/2)` = Rs. 105.

`:.`        Amount  = Rs. (420 + 105) = Rs.  525


Question 382.

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will he additional interest in one year be on the same deposit at 5%  p.a. ?


  1.    Rs. 20.25
  2.    Rs. 22.50
  3.    Rs. 25
  4.    Rs. 42.75
 Discuss Question
Answer: Option B. -> Rs. 22.50

S.I. = Rs. 202.50     R =  4.5% ,  T = 1 year.

principal = Rs. `((100 xx 202.50)/(4.5 xx 1))` = Rs.  4500

Now , P = 4500,  R = 5% ,  T = 1 year

S.I. = Rs. `((4500 xx 5 xx 1)/(100))` = Rs. 225

`:.`       Difference in  interest = Rs. (225 - 202.50) = Rs. 22.50.


Question 383.

The simple interest on a certain  sum of money at the rate of 5%  p.a. for 8 years is Rs. 840. At what rae of interest he same amount of interest can be received on he same sum after 5 years ?


  1.    6%
  2.    8%
  3.    9%
  4.    10%
 Discuss Question
Answer: Option B. -> 8%

S.I. = Rs. 840, R = 5%,   T = 8 years

principal  = Rs.`((100 xx 840)/(5 xx 8))` = Rs. 2100

Now , P = 2100, S.I. = Rs. 840,  T = 5 years

`:.`     Rate  =  `((100 xx 840)/(2100 xx 5))`%  =  8%



Question 384.

If Rs. 64 amount to Rs. 83.20 in 2 years , what will  Rs. 86 amount to in 4 years at the same  rate  percent  per annum ?


  1.    Rs. 51.60
  2.    Rs. 61.80
  3.    Rs. 75
  4.    Rs. 85
 Discuss Question
Answer: Option A. -> Rs. 51.60

P = Rs. 64,  S.I. = Rs.(83.20 - 64) = Rs. 19.20 , T = 2 years.

So, rate = `((100 xx 19.20)/(64 xx 2))` % =  15 %.

New P = 86,  R = 15 %,  T = 4 years

`:.`  S.I. = Rs`((86 xx 15 xx 4)/(100))` =   Rs. 51.60



Question 385.

In how many years , Rs. 150 will  produce the same  interest  @  8%  as Rs. 800  produce in 3 years  @  `4 1/2`% ?


  1.    6
  2.    8
  3.    9
  4.    12
 Discuss Question
Answer: Option C. -> 9

P = Rs. 800, R = `4 1/2`%  = `9/2`%   T =  3 years. Then

S.I. = Rs. `(800 xx 9/2 xx 3/100)` =  Rs. 108.

New, P =  Rs. 150,  S.I.  = Rs.  108,    R =  8%

`:.`        Time = `((100 xx 108)/(150 xx 8))` years = 9 years .


Question 386.

A certain amount earns simple interest of Rs. 1750 after 7 years . Had he interest been 2% more how much  more interest would it   have earned ?


  1.    Rs. 35
  2.    Rs. 245
  3.    Rs. 350
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option D. -> Cannot be determined

We need o know the S.I. , principal and time  to find  the rae . Since the principal is no given , so data in inadequate.


Question 387.

Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest . If the rate of interest is increased by  4% , what amount  will  Rs. 800 become in  3 years ?


  1.    Rs. 1020.80
  2.    Rs. 1025
  3.    Rs. 1052
  4.    Data inadequae
  5.    None of these
 Discuss Question
Answer: Option C. -> Rs. 1052

S.I.  = Rs. (956 - 800) = Rs. 156

Rate = `((100 xx 156)/(800 xx 3))`% =  `6 1/2`%

New rae = `(6 1/2 + 4)% =  10 1/2`%

New S.I. = Rs. `(800 xx 21/2 xx 3/100)` = Rs. 252

`:.` New amount  = Rs. (800 + 252) = Rs. 1025.


Question 388.

The simple interest at `x`% for  `x` years will be Rs. `x` on a sum of :


  1.    Rs.`x`
  2.    Rs.`(100/x)`
  3.    Rs. `100x`
  4.    Rs. `(100/x^2)`
 Discuss Question
Answer: Option B. -> Rs.`(100/x)`

Sum = `((100 xx S.I.)/(R xx T))`

= Rs. ` ((100 xx x)/(x xx x)`

=Rs `(100/x)`



Question 389.

A sum fetched a total simple  interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years what is the sum ?


  1.    Rs. 4462.50
  2.    Rs. 8032
  3.    Rs. 8900
  4.    Rs. 8925
  5.    None of these
 Discuss Question
Answer: Option D. -> Rs. 8925

Principal  = Rs `((100 xx 4016.25)/(9 xx 5))`

=Rs. ` (401625/45)`

=Rs 8925


Question 390.

What is the present worth of Rs. 132 due in 2 years at 5 % simple interest per annum .


  1.    Rs. 112
  2.    Rs. 118.80
  3.    Rs. 120
  4.    Rs. 122.
 Discuss Question
Answer: Option C. -> Rs. 120

Let the present worth be Rs. `x`  Then , S.I. = Rs. (132 - `x`)

`:.`     `((x xx 5 xx 2)/(100))  = 132 - x `

`hArr   10x = 13200 - 100x`

`hArr   110x = 13200 `

`hArr      x = 120`


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