The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is

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Solution

Principal (P) = Rs. 40000Rate (R) =6%p.a. 64=32%quarteralyPeriod (n) = 6 months = 2 quaters∴Amount = P (1+R100)n=Rs.40000 (1+32×100)2=Rs. 40000×203200×203200=Rs.41209C.I. = A - P = Rs. 41209 - 40000=Rs.1209 (a)

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Compound Interest

  1. The compound interest on a certain sum of money at a certain rate per annum for two years is Rs. 4,100 and the simple interest on the same amount of money at the same rate for 3 years is Rs. 6000. Then the sum of money is :
    1) Rs. 40,000
    2) Rs. 36,000
    3) Rs. 42,000
    4) Rs. 50,000
    5) none of these

    Answer – 1) Rs. 40,000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  2. A sum of money was went at 10% per annum, compounded annually for 2 years. If the interest was compounded half yearly, he would have received Rs. 440.5 more. Find the sum.
    1) Rs. 84000
    2) Rs. 96000
    3) Rs. 100000
    4) Rs. 104000
    5) Rs. 80000

    Answer – 5) Rs. 80000
    Explanation :

    [caption id="attachment_120878" align="alignnone" width="561"]

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is
    Compound Interest Q2[/caption]


  3. Ragnal, Rollo and Vik start a business by investing Rs 70,000 that earns them a profit of Rs 42,000 at the end of the year. Ragnar invests his share in the profit in a scheme that gives him 10% interest compounded annually and Rollo invests his share in a scheme that gives him 20% interest compounded annually. Ragnar gets Rs 2,520 as interest at the end of 2 years and Rollo gets an interest of Rs 4,200 at the end of one year. Find Vik’s investment in the business.
    1) Rs 1,60,000
    2) Rs 15,000
    3) Rs 17,520
    4) Cannot be determined
    5) none of these

    Answer – 2) Rs 15,000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  4. Rs. 12200 was partly invested in Scheme A at 10% p.a. compound interest (compounded annually) for 2 years and partly in Scheme B at 10% p.a. simple interest for 4 years. Both the schemes give equal interests. How much was invested in Scheme A ?
    1) Rs. 7500
    2) Rs. 9000
    3) Rs. 8000
    4) Rs. 6050
    5) Rs. 10000

    Answer – 3) Rs. 8000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  5. A man borrows Rs. 8000 at 20% compound rate of interest. At the end of each year he pays back Rs. 3000. How much amount should he pay at the end of the third year to clear all his dues?
    1) Rs. 5492
    2) Rs. 5552
    3) Rs. 5904
    4) Rs. 6933
    5) None of these

    Answer – 3) Rs. 5904
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  6. A money-lender borrows money at 4% per annum and lends it at 6% per annum compound interest compounded half yearly and thus gains Rs. 209 in a year. The amount of money he borrows, is:
    1) Rs. 12,000
    2) Rs. 11,500
    3) Rs. 10,000
    4) Rs. 9,500
    5) none of these

    Answer – 3) Rs. 10,000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  7. What sum will give Rs. 488 as the difference between simple interest and compound interest at 10% in 1 1/2 years compounded half yearly ?
    1) Rs. 80,000
    2) Rs. 72,000
    3) Rs. 64,000
    4) Rs. 68,000
    5) None of these

    Answer – 3) Rs. 64,000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  8. A certain sum is interested at compound. The interest accrued in the first two years is Rs. 544 and that in the first three years is Rs. 868. Find the rate per cent.
    1) 12 1/2%
    2) 7 1/2%
    3) 17 1/2%
    4) 25%
    5) None of these

    Answer – 1) 12 1/2%
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  9. A man gave 50% of his savings of Rs. 168200 to his wife and divided the remaining sum among his sons Abid and Bisth of 15 and 13 years of age respectively. He divided it in such away that each of his sons when they attain the age of 18 years, would receive the same amount of 5% compound interest per annum. The share of Bisth was:
    1) Rs. 42050
    2) Rs. 40000
    3) Rs. 45000
    4) Rs. 45500
    5) None of these

    Answer – 2) Rs. 40000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


  10. What sum of money at compound interest will amount to Rs. 2249.52 in 3 years, if the rate of interest is 3% for the first year, 4% for the second year and 5% for the third year ?
    1) Rs. 20140
    2) Rs. 1980
    3) Rs. 2000
    4) Rs. 2180
    5) None of these

    Answer – 3) Rs. 2000
    Explanation :

    The compound intrest on Rs 40000 at 5 per annum is Rs 4100 the period in yers is


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How many years will a sum of Rs 40000 amount to Rs 44100 at 5 per annum if the interest is compounded annually?

So, the required time Rs 40,000 at compound interest of 5 p.m amounted to Rs. 44,100 is 2 years.

What is the interest on rupees 40000 compounded annually at 6% per annum for 6 months?

64=32% quarteralyPeriod (n) = 6 months = 2 quaters∴ Amount = P (1+R100)n=Rs. 40000 (1+32×100)2=Rs. 40000×203200×203200=Rs. 41209C.I.

What is the interest received on a sum of 40000 after 2 years at a rate of interest 9 per annum?

7524.

What will be the compound interest on 4000 in 4 years?

4000 for 4 years at 10% per annum will be. Rs. 1856.