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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)

Total Questions : 1171 | Page 113 of 118 pages
Question 1121. Simple interest on Rs.500 for 4 years at 6.25 % per annum is equal to the simple interest on Rs. 400 at 5 % per annum for a certain period of time. The period of time is?
  1.    4 Years
  2.    5 years
  3.    6 ¼ years
  4.    8 2/3 years
 Discuss Question
Answer: Option C. -> 6 ¼ years


Let the required period of time be x years. 
Then
500 x 4 x 6.25/100 = 400 x 5/100 × x 
=> 20 x 6.25 = 20 × x 
=> X = 6.25 = 625/100 = 25/4 = 6 ¼ years


Question 1122. Kruti took a loan at simple interest at 6 % in the first year with an increase of 0.5 % in each subsequent year. She paid Rs. 3375 as interest after 4 years. How much loan did she take?
  1.    Rs.12500
  2.    Rs.15800
  3.    Rs.33250
  4.    Cannot be determined
 Discuss Question
Answer: Option A. -> Rs.12500


Let the loan taken be Rs. X , then 
X × 6/100 × 1 + X × 6.5/100 × 1 + X × 7/100 × 1 + X × 7.5/100 × 1 = 3375 
=> (6+ 6.5 +7 +7.5) × X/100 = 3375 
=> X = (3375 × 100/27) = 12500


Question 1123. A borrows Rs.800 at the rate of 12 % per annum. Simple interest and B borrows Rs.910 at the rate of 10 % per annum simple interest. In how many years will their amounts at debts be equal?
  1.    18 years
  2.    20years
  3.    22 years
  4.    24 years
 Discuss Question
Answer: Option C. -> 22 years


Let the required time be x years. 
Then
800 + 800 x 12/100 × x = 910 + 910 x 10/100 × x 
=> (96x -91 x) = 110 
=> 5x =110 
=> x =22


Question 1124. Rs.6000 becomes Rs.7200 in 4 years at a certain rate of interest. If the rate becomes 1.5 times of itself. The amount of the same principle in 5 years will be?
  1.    Rs.8000
  2.    Rs.8250
  3.    Rs.9000
  4.    Rs.9250
 Discuss Question
Answer: Option B. -> Rs.8250


S.I on Rs. 600 for 4 Years = Rs (7200 - 600) = Rs 1200 
Therefore Rate = (120000/24000) % p.a = 5 % p.a 
New Rate = (5 x 3/2) % = 15/2 % p.a 
Required Amount = [6000 + (6000 x 5/100 x 15/2)] 
= Rs(6000 + 2250) = Rs 8250


Question 1125. A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
  1.    Rs.500
  2.    Rs.515
  3.    Rs.525
  4.    None
 Discuss Question
Answer: Option D. -> None


840 = P [1 + (10*3)/100]

P = 646


Question 1126. At what rate percent on simple interest will a sum of money double itself in 30 years?
  1.    3 1/3 %
  2.    3 1/2%
  3.    4 %
  4.    4 1/2 %
 Discuss Question
Answer: Option A. -> 3 1/3 %


P = (P*30*R)/100


R = 3 1/3%


Question 1127. A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate
% per annum?
  1.    3%
  2.    5%
  3.    6%
  4.    4%
 Discuss Question
Answer: Option B. -> 5%


  3 --- 1725

  5 --- 1875

  --------------

    2 --- 150

N = 1  
I = 75   R = ?

P = 1725 - 225 = 1500

75 = (1500*1*R)/100


R = 5%


Question 1128. The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
  1.    Rs.800
  2.    Rs.900
  3.    Rs.1200
  4.    Rs.1500
 Discuss Question
Answer: Option C. -> Rs.1200


P --- 10 ---- 600

P --- 5 -----  300

3P --- 5 ----- 900

                    ------


                     => 1200


Question 1129. In what time a sum of money double itself at 3% per annum simple interest?
  1.    29 years
  2.    33 1/3 years
  3.    23 1/3 years
  4.    13 1/3 years
 Discuss Question
Answer: Option B. -> 33 1/3 years


P = (P*3*R)/100


R = 33 1/3%


Question 1130. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
  1.    20 %
  2.    10 %
  3.    15 %
  4.    22 1/2%
 Discuss Question
Answer: Option D. -> 22 1/2%


9 = (1*40*R)/100


R
= 22 1/2 %


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