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  • Question
  • An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded every six months?


  • Options
  • A. 7401.22
  • B. 3456
  • C. 4567
  • D. 7890

  • Correct Answer
  • 7401.22 

    Explanation

    With slight modifications, the basic formula can be made to deal with compounding at intervals other than annually.

     

    Since the compounding is done at six-monthly intervals, 4 per cent (half of 8 per cent) will be added to the value on each occasion.

     

    Hence we use r = 0.04. Further, there will be ten additions of interest during the five years, and so n = 10. The formula now gives:

     

    V = P(1 + r)10 = 5,000 x (1.04)10 = 7,401.22

     

    Thus the value in this instance will be £7,401.22.

     

    In a case such as this, the 8 per cent is called a nominal annual

     

    rate, and we are actually referring to 4 per cent per six months.

  • Tags: Bank Exams, Bank PO

    Simple Interest problems


    Search Results


    • 1. Derrick's dad bought new tires for $900 using a credit card. His card has an interest rate of 19%. If he has no other charges on his card and does not pay off his balance at the end of the month, how much money will he owe after one month?

    • Options
    • A. 11.25
    • B. 13.25
    • C. 14.25
    • D. 15.25
    • Discuss
    • 2. Rondell's parents borrow $6,300 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?

    • Options
    • A. 556
    • B. 665
    • C. 756
    • D. 856
    • Discuss
    • 3. You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate.

    • Options
    • A. 5%
    • B. 4%
    • C. 6%
    • D. 7%
    • Discuss
    • 4. Determine the exact and ordinary simple interest on a 90-day loan of $8000 at 812 %

    • Options
    • A. 150$
    • B. $160
    • C. $170
    • D. $180
    • Discuss
    • 5. If there is a total of 104 weekly instalments and a third deposit, find: the total cost of the computer

    • Options
    • A. 3932.55
    • B. 4932
    • C. 5932
    • D. 6932
    • Discuss
    • 6. A sum of Rs 1200 amounts to Rs 1740 in 3 years at simple interest. If rate of interest is increased by 3%, then what will be the new amount (in Rs)?

    • Options
    • A. 1848
    • B. 1946
    • C. 1812
    • D. 1924
    • Discuss
    • 7. Both S.I. and C.I. is calculated with a similar rate of 10% per annum on a sum of rupees. If C.I. is calculated yearly for two years, then for what period must S.I. be evaluated such that S.I. = C.I.?

    • Options
    • A. 4.2 years
    • B. 2.1 years
    • C. 1.1 years
    • D. 1.4 years
    • Discuss
    • 8. Ankita borrows Rs. 7000 at simple Interest from a lender. Atthe end of 3 years, she again borrows Rs. 3000 and settledthat amount after paying Rs. 4615 as interest after 8 years from the time she made the first borrowing. What is the rate of interest?

    • Options
    • A. 5.5%
    • B. 9.5%
    • C. 7.5%
    • D. 6.5%
    • Discuss
    • 9. A man borrowed some money from a private organisation at 5% simple interest per annum. He lended this money to another person at 10% compound interest per annum, and made a profit of 26,410 in 4 years. The man borrowed

    • Options
    • A. 200000
    • B. 150000
    • C. 132050
    • D. 100000
    • Discuss
    • 10. Simple interest on a sum for eight months at 6% per annum is Rs 340.What is the value (in Rs) of sum?

    • Options
    • A. 8500
    • B. 9500
    • C. 8000
    • D. 6800
    • Discuss


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