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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)

Total Questions : 1171 | Page 36 of 118 pages
Question 351.

A  sum of Rs. 725 is lent in he beginning of a year at a certain rate of interest . after 8 months , a sum of Rs. 362.50 more is lent but at the rate twice the former .  At the end of the years Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest ?


  1.    3.6%
  2.    4.5%
  3.    5%
  4.    6%
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these

Let the original rate be  R% , Then , new rate = (2R)%

`:.`    `((725 xx R xx 1)/(100) + ((362.50 xx 2R xx 1)/(100 xx 3))` = 33.50

`hArr  (2175 + 725)R =  33.50 xx 100 xx 3` = 10050

`hArr    R = 10050/2900` = 3.46

`:.`     Original rate = 3.46%



Question 352.

A lent Rs. 5000 o B for 2 years and Rs. 3000 to C for 4 years on single interest at the same rate of interest and received Rs. 2200 in all form  both  of them as interest, The rate of interest per annum is


  1.    5%
  2.    7%
  3.    `7 1/8`%
  4.    10%
 Discuss Question
Answer: Option D. -> 10%

Let the rate be R% p.a. , Then ,

`((5000 xx R xx 2)/(100)) + (3000 xx R xx 4)/(100))` = 2200

`hArr     100R + 120R =  2200`

`hArr     R = 2200/220`

`hArr     R = 10`

`:.`       Rate  = 10 %.


Question 353.

A person borrowed Rs. 500 @ 3%  per annum  S.I. and Rs. 600 @ `4 1/2`% per annum on the agreement , that he whole sum will be returned only when the total interest becomes Rs. 126. The number of years, after which  the borrowed sum is to be returned is :


  1.    2
  2.    3
  3.    4
  4.    5
 Discuss Question
Answer: Option B. -> 3

Let the time be `x` years . Then ,

`((500 xx 3 xx x)/(100)) + ((600 xx 9 xx x)/(100 xx 2))`= 126

`hArr    15x + 27x = 126`

`hArr    42x =  126`

`hArr  x =  126/42`

`hArr   x = 3`

`:.`      Required time = 3 years.


Question 354.

A borrowed some money from B at 12% p.a.  S.I.  for 3 years . He then added some more money to the borrowed sum and lent i to C for he same period at 14% p.a. rate of interest. If A gains Rs. 93.90 in he whole transaction, how much money did he add from his side ?


  1.    Rs. 35
  2.    Rs. 55
  3.    Rs. 80
  4.    Rs. 105
 Discuss Question
Answer: Option D. -> Rs. 105

Let he money added be Rs. `x`,  Then,

`((830 + x)xx 14 xx 3)/(100) - (830 xx 12 xx 3)/(100)` = 93.90

`hArr`     830 x 42 + 42`x` - 830 x 36 = 9390

`hArr      42x` + 830 x (42 - 36) = 9390

`hArr     42x` =  9390 - 4980

`hArr     x = 4410/42` =  105.

`:.`       Money added = Rs. 105.


Question 355.

A man invests a certain sum of money at 6% p.a.  simple interest and another sum at 7% p.a. simple interest . His income from  interest after 2 years  was Rs. 354 . One fourth  of the first sum is equal to  one -fifth  of the second sum . The total sum invested was :


  1.    Rs. 2600
  2.    Rs. 2700
  3.    Rs. 2880
  4.    Rs. 2900
 Discuss Question
Answer: Option B. -> Rs. 2700

Let the sums be `x` and y.

`(x xx 6 xx 2)/(100) + (y xx 7 xx 2)/(100)` =  354

or `6x + 7y` = 17700.................................................(i)

Also , `x/4 = y/5`

5x - 4y = 0 ......................................................(ii)

Solving (i) and (ii) , we get  :  x = 1200 and y = 1500

`:.`      Total sum  = Rs. 2700.


Question 356.

If the simple interest on a certain sum for 15 months at `7 1/2`% per annum exceeds he simple interest on the same sum for 8 months at `12 1/2`% per annum by  Rs. 32.50 then the sum( in Rs.) is


  1.    Rs. 3000
  2.    Rs. 3060
  3.    Rs. 3120
  4.    Rs. 3250
 Discuss Question
Answer: Option C. -> Rs. 3120

Let the sum be Rs. `x`, Then , `( x xx 15/2 xx 5/4 xx 1/100) - (x xx 25/2 xx 2/3 xx 1/100)` = 3250

`hArr       (75x)/(8) - (25x)/(3) = 3250`

`hArr       25x =   3250 xx 24`

`hArr         x =   ((3250 xx 24)/(25))`   = 3120



Question 357.

Two equal sums  of money were lent at simple interest at 11% p.a.  for  `3 1/2` years and `4 1/2` years  respectively . If the difference in interest for two periods was Rs. 412.50 then each sum is  :


  1.    Rs. 3250
  2.    Rs. 3500
  3.    Rs. 3750
  4.    Rs. 4250
 Discuss Question
Answer: Option C. -> Rs. 3750

Let each sum be Rs. `x` , Then ,

`((x xx 11 xx 9)/(100 xx 2)) - ((x xx 11 xx 7)/(100 xx 2))` = 41250

`hArr    (99x - 77x) = 82500`

`hArr    22x = 82500`

`hArr     x = 3750`


Question 358.

A lends Rs. 2500 to B and a certain  sum to C at the same  time at 7% p.a. simple interest . If after 4 years A altogether receives Rs. 1120 as interest from B and C , then the sum lent to C  is:


  1.    Rs. 700
  2.    Rs. 1500
  3.    Rs. 4000
  4.    Rs. 6500
 Discuss Question
Answer: Option B. -> Rs. 1500

Let the sum lent to C be Rs. `x` , Then ,

`((2500 xx 7 xx 4)/(100)) + ((x xx 7 xx 4)/(100))` = 1120

`hArr     7/25 x =  (1120 - 700)`

`hArr      x = ((420 xx 25)/(7))` =  1500


Question 359.

Simple interest on a certain amount is `9/16` of the principal . If the  numbers representing  the rate of interest in  percent  and time in years be equal , than time ,for which the principal is lent out is


  1.    `5 1/2`years
  2.    `6 1/2`years
  3.    7 years
  4.    `7 1/2`years
 Discuss Question
Answer: Option D. -> `7 1/2`years

Let sum = `x` . Then , S.I.  =  `9/16 x`.

Let rate = R% and time =   R years

`:.`      `  ((x xx R xx R)/(100)) =  (9x)/(16)`

`hArr        R^2  = 900/16`         `hArr      R =  30/4   =   7 1/2`

Hence , time  = `7 1/2` years


Question 360.

Simple interest on a certain sum at a certain annual rate of interest is `1/9` of the sum . If the numbers representing rate percent and time in  years be equal , then the rate of interest is


  1.    `3 1/3`%
  2.    5%
  3.    `6 2/3`%
  4.    10%
 Discuss Question
Answer: Option A. -> `3 1/3`%

Let sum = `x`    Then , S.I. =  `x/9`.

Let rate =  R% and  time =  R years.

`:.`      `   ((x xx R xx R)/(100)) =  x/9`

`hArr       R^2    = 100/9`

`hArr       R =  10/3` =   `3 1/3`

Hence , rate =  `3 1/3`%.



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