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Quantitative Aptitude > Interest

SIMPLE & COMPOUND INTEREST MCQs

Compound Interest, Simple Interest, Interest (combined)


Total Questions : 1171 | Page 91 of 118 pages
Question 901. Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
  1.    Rs. 8600
  2.    Rs. 8620
  3.    Rs. 8800
  4.    Rs. 8840
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these


Amount = [8000 * (1 + 5/100)2] = 8000 * 21/20 * 21/20 = Rs. 8820


Question 902. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?
  1.    Rs. 9000.30
  2.    Rs. 9720
  3.    Rs. 10123.20
  4.    Rs. 10483.20
 Discuss Question
Answer: Option C. -> Rs. 10123.20


Amount = [25000 * (1 + 12/100)3]= 25000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20C.I. = (35123.20 - 25000) = Rs. 10123.20


Question 903. Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
  1.    Rs. 16,500
  2.    Rs. 16,525.50
  3.    Rs. 16,537.50
  4.    Rs. 18,150
 Discuss Question
Answer: Option C. -> Rs. 16,537.50


P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year Amount = [15000 * (1 + 5/100)2]= (15000 * 21/20 * 21/20) = Rs. 16537.50


Question 904. A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
  1.    Rs. 565.25
  2.    Rs. 635
  3.    Rs. 662.02
  4.    Rs. 666.50
 Discuss Question
Answer: Option C. -> Rs. 662.02


Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]= [200 * 21/20(21/20 * 21/20 + 21/20 + 1)] = Rs. 662.02


Question 905. A bank offers 5% C.I. 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 = [1600 * (1 + 5/(2 * 100)2 + 1600 * (1 + 5/(2 * 100)]= [1600 * 41/40(41/40 + 1) = [(1600 * 41 * 81)/(40 * 40)] = Rs. 3321.C.I. = 3321 - 3200 = Rs. 121.


Question 906. There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
  1.    Rs. 2160
  2.    Rs. 3120
  3.    Rs. 3972
  4.    Rs. 6240
 Discuss Question
Answer: Option C. -> Rs. 3972


Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years. R = (100 * 60)/(100 * 6) = 10% p.a. Now, P = Rs. 12000, T = 3 years and R = 10% p.a. C.I. = [12000 * {(1 + 10/100)3 - 1}] = 12000 * 331/1000 = Rs. 3972


Question 907. On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
  1.    10%
  2.    10.5%
  3.    12%
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these


Difference in C.I. and S.I for 2 years = (696.30 - 660) = Rs. 36.30. S.I for one year = Rs. 330. S.I. on Rs. 330 for 1 year = Rs. 36.30 Rate = (100 * 36.30)/(330 * 1) = 11%


Question 908. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
  1.    6.06%
  2.    6.07%
  3.    6.08%
  4.    6.09%
 Discuss Question
Answer: Option D. -> 6.09%


Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 3/100)2] = Rs. 106.09
Effective rate = (106.09 - 100) = 6.09%


Question 909. 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, [x (1 + 4/100)2 - x] = (676/625 x - x) = 51/625 xS.I. = (x * 4 * 2)/100 = 2x/2551x/625 - 2x/25 = 1 or x = 625.


Question 910. A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?
  1.    2 1/2 %
  2.    4%
  3.    5%
  4.    6 2/3 %
 Discuss Question
Answer: Option C. -> 5%


S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40
Rate = (100 * 40)/(800 * 1) = 5%


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