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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)


Total Questions : 1171 | Page 108 of 118 pages
Question 1071. A certain sum of money at simple interest amounts to Rs. 1012 in 2 ½ years and to Rs. 1067.20 in 4 years. The rate of interest per annum is:
  1.    2.5 %
  2.    3 %
  3.    4%
  4.    5%
 Discuss Question
Answer: Option C. -> 4%

S.I for 3/2 years = Rs. (1067.20 - 1012) = Rs. 55.20 
S.I for 5/2 years = Rs. (55.20 X 2/3 X 5/2) = Rs. 92 
Sum = Rs. (1012 - 92) = Rs. 920
Rate =   A Certain Sum Of Money At Simple Interest Amounts To Rs. 10...  = 4 %


Question 1072. The simple interest on a sum of money at 8% per annum for 6 years is half the sum. The sum is:
  1.    Rs. 4800
  2.    Rs. 6000
  3.    Rs. 8000
  4.    Data Inadequate
 Discuss Question
Answer: Option D. -> Data Inadequate

Sum = p. 
S.I= ½ p, 
Rate= 8 % 
Time= 6 years 
p/2=  The Simple Interest On A Sum Of Money At 8% Per Annum For 6....So Data is Inadequate.


Question 1073. At simple interest, a sum doubles after 20 years. The rate of interest per annum is:
  1.    5%
  2.    10%
  3.    12%
  4.    Data Inadequate
 Discuss Question
Answer: Option A. -> 5%

Sum= p. 
S.I= p and Time = 20 years 
Rate=  At Simple Interest, A Sum Doubles After 20 Years. The Rate ...
= 5 % per annum


Question 1074. At what rate of simple interest a certain sum will be doubled in 15 years?
  1.    5 ½ % p.a
  2.    6 % p.a
  3.    6 2/3 % p.a
  4.    7 ½ % p.a
 Discuss Question
Answer: Option C. -> 6 2/3 % p.a

Let the sum be Rs. X. 
Then S.I = Rs. X 
 At What Rate Of Simple Interest A Certain Sum Will Be Doubl...
 = 20/3 % p.a = 6 2/3 % p.a


Question 1075. The sum of money that will give Rs.1 as simple interest per day at the rate of 5 % per annum is?
  1.    Rs.730
  2.    Rs.3650
  3.    Rs.7300
  4.    Rs.36500
 Discuss Question
Answer: Option C. -> Rs.7300

Annual Interest = Rs 365, 
Rate = 5 % p.a
 The Sum Of Money That Will Give Rs.1 As Simple Interest Per...
= Rs.7300


Question 1076. A man invests 1/3 of his capital at 7 % p.a ¼ at 8 % p.a and the remainder at 10 % p.a. if his annual income is Rs.561 the capital is?
  1.    Rs.5400
  2.    Rs.6000
  3.    Rs.6600
  4.    Rs.7200
 Discuss Question
Answer: Option C. -> Rs.6600


Let capital be Rs. x. 
Then
(x/3 × 7/100 × 1) + (x/4 × 8/100 × 1) + {x “ (x/3 + x/4)} × 10/100 × 1 = 561 
=> 7x/300 + x/50 + 5x/120 = 561 
=> 14x + 12x + 25x = 336600 
=> 51x = 336600 
=> x = 6600


Question 1077. A certain sum is interested in simple interest if it triples in 10 years. What is the rate of interest?
  1.    18 % p.a
  2.    20 % p.a
  3.    22 %p.a
  4.    25% p.a
 Discuss Question
Answer: Option B. -> 20 % p.a


Let the sum be Rs. x .
Then S.I = Rs (3x - x ) = Rs 2x 
Therefore x × 12/100 × 10 = 2x 
=> R = 20% p.a


Question 1078. In how many years a sum will be thrice of it at the rate of 10% per annum?
  1.    15 years
  2.    20 Years
  3.    30 years
  4.    40 years
 Discuss Question
Answer: Option B. -> 20 Years


Let the sum be Rs. x . 
Then S.I = Rs (3x - x) = Rs 2x
x × 10/100 × t = 2x 
=> t = 20 Years


Question 1079. A certain sum of money becomes three times of itself in 20 years at simple interest in how many years does it become double of itself at the same rate?
  1.    8 years
  2.    10 Years
  3.    12 years
  4.    14 years
 Discuss Question
Answer: Option B. -> 10 Years

Let the sum be Rs x. 
Then, S. I in 20 Years = Rs (3x - x) = Rs 2x
 A Certain Sum Of Money Becomes Three Times Of Itself In 20 ...
Now, Sum = Rs. x, Rate = 10 % p.a, S. I = Rs x 
Therefore, Time =  A Certain Sum Of Money Becomes Three Times Of Itself In 20 ...
= 10 Years


Question 1080. If the annual rate of simple interest increases from 10 % to 12 ½ % a man's annual income increases by Rs. 1250. The principle is?
  1.    Rs. 4500
  2.    Rs.50000
  3.    Rs.60000
  4.    Rs.65000
 Discuss Question
Answer: Option B. -> Rs.50000


Let the principal be Rs x. 
Then
(x × 25/2 × 1/100 × 1) “ (x × 10/100 × 1) = 1250 
=> x/8 “ x/10 = 1250 
=> 5x - 4x = 50000 
=> X = 50000 
Hence the principal is Rs 50000


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