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  • Question
  • A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?


  • Options
  • A. 7
  • B. 11
  • C. 9
  • D. 13

  • Correct Answer
  • 11 

    Explanation

    Interest earned in scheme M =   

    P 1   +   20 100 2     -   1     =   11 P 25

    Interest earned in scheme N =  

    P   x   k   x   2 100   =   P k 50

     

    Now, from the given data,

     

    11 P 25   =   2   x   P k 50

    k = 11

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

    Compound Interest problems


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    • 1. Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

    • Options
    • A. Rs. 5989
    • B. Rs. 6540
    • C. Rs. 7844
    • D. Rs. 6789
    • Discuss
    • 2. The principal that amounts to Rs.4913 in 3 years at 413 % per annum compound interest compounded annually is

    • Options
    • A. Rs.3096
    • B. Rs.4076
    • C. Rs.4085
    • D. Rs.4096
    • Discuss
    • 3. A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year

    • Options
    • A. Rs.5624.32
    • B. Rs.5423
    • C. Rs.5634
    • D. Rs.5976
    • Discuss
    • 4. Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum.

    • Options
    • A. Rs.625
    • B. Rs.626
    • C. Rs.286
    • D. Rs.627
    • Discuss
    • 5. The population of a town was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounding annually?

    • Options
    • A. Rs.600
    • B. Rs,6400
    • C. Rs.6500
    • D. Rs.6600
    • Discuss
    • 6. The present worth of Rs.169 due in 2 years at 4% per annum compound interest is

    • Options
    • A. Rs.156.25
    • B. Rs.150
    • C. Rs.140
    • D. Rs125.25
    • Discuss
    • 7. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

    • Options
    • A. Rs.1550
    • B. Rs.1650
    • C. Rs,1750
    • D. Rs.1850
    • Discuss
    • 8. Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years?

    • Options
    • A. Rs. 3845
    • B. Rs. 4826
    • C. Rs. 5142
    • D. Rs. 4415
    • Discuss
    • 9. What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?

    • Options
    • A. 3.5%
    • B. 4%
    • C. 5%
    • D. 6.5%
    • Discuss
    • 10. A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum?

    • Options
    • A. Rs. 7000
    • B. Rs. 4500
    • C. Rs. 9000
    • D. Rs. 8200
    • Discuss


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