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Home Aptitude Compound Interest Comments

  • Question
  • What amount will be received on a sum of ? 1750 in 2 1/ 2 yr, if the interest is compounded at the rate of 8% pa?


  • Options
  • A. ? 2125
  • B. ? 2122.85
  • C. ? 2100
  • D. ? 2200

  • Correct Answer
  • ? 2122.85 

    Explanation

    Given, P = ? 1750, R = 8%,
    n = 2 and a/b = 1/2
    According to the formula,
    Amount = P(1 + R/100)n x [1 + {(a/b) x R}/100]
    =1750 (1 + 8/100 )2 [1 + {(1/2) x 8} /100]
    =1750 (27/25)2 x 26/25
    = 1750 x (27/25) x (27/25) x (26/25)
    =? 2122.848
    = ? 2122.85


  • Compound Interest problems


    Search Results


    • 1. 
      During the first year, the population of a village is increased by 5% and the second year, it is diminished by 5%. At the end of the second year, its population was 47880. What was the population at the beginning of the first year?

    • Options
    • A. 45500
    • B. 48000
    • C. 43500
    • D. 53000
    • Discuss
    • 2. 
      The simple interest on a certain sum of money for 3 yr at 8 % pa is half the compound interest on ? 8000 for 2 yr at 10 % pa. Find the sum on which simple interest is calculated

    • Options
    • A. ? 3500
    • B. ? 3800
    • C. ? 4000
    • D. ? 3600
    • Discuss
    • 3. 
      A sum of ? 8448 is to be divided between A and B who are respectively 18 and 19 yr old, in such a way that if their shares be invested at 6.25 % per annum at compound interest, they will receive equal amounts on attaining the age of 21 yr. The present share of A is

    • Options
    • A. ? 4225
    • B. ? 4352
    • C. ? 4096
    • D. ? 4000
    • Discuss
    • 4. 
      A sum of ? 11000 was taken as loan. This is to be paid in two equal annual installments. If the rate of interest be 20% compounded annually, then the value of each installment is

    • Options
    • A. ? 7500
    • B. ? 7000
    • C. ? 7100
    • D. ? 7200
    • Discuss
    • 5. 
      An amount is invested in a bank at compound rate of interest . The total amount, including interest, after first and third year is ? 1200 and ? 1587, respectively . What is the rate of interest?

    • Options
    • A. 10 %
    • B. 3.9 %
    • C. 12 %
    • D. 15 %
    • Discuss
    • 6. 
      Find what is that first years in which a sum of money will become more than double in amount if put out at compound interest at the rate of 10% per annum?

    • Options
    • A. 6th years
    • B. 7th years
    • C. 8th years
    • D. Data inadequate
    • Discuss
    • 7. 
      If P = { 1, 2, 3 } and Q = { 4 , 5 } then what is the value of P × Q?

    • Options
    • A. { (4 , 5) , (1 , 5) , (2 , 4) , (2 , 5) , (3 , 4) , (3 , 5) }
    • B. { (1 , 4) , (4 , 5) , (2 , 4) , (2 , 5) , (3 , 4) , (3 , 5) }
    • C. { (1 , 4) , (1 , 5) , (2 , 4) , (3 , 5) , (3 , 4) , (3 , 5) }
    • D. { (1 , 4) , (1 , 5) , (2 , 4) , (2 , 5) , (2 , 4) , (3 , 5) }
    • Discuss
    • 8. 
      If A and B have n elements in common, how many elements do A × B and B × A have in common?

    • Options
    • A. n
    • B. n3
    • C. n2
    • D. None of these
    • Discuss
    • 9. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, B = {c, d, e, f}, C = {c, d, e}, find (A ? B) ? (A ? C).

    • Options
    • A. {c}
    • B. {a}
    • C. {b}
    • D. {d}
    • Discuss
    • 10. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U ? A)?.

    • Options
    • A. U
    • B. A
    • C. ?
    • D. None of these
    • Discuss


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