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Thread: Assignment # 1 MTH302 (Spring 2011) New and final April 06

  1. #1
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    98 Assignment # 1 MTH302 (Spring 2011) New and final April 06

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    Assignment # 1

    MTH302 (Spring 2011)

    Total marks: 10
    Lecture # 1 to 8
    Due date: 15-04-2011

    DON’T MISS THESE Important instructions:

    • Upload assignments properly through LMS, (No Assignment will be accepted through email).
    • All students are directed to use the font and style of text as is used in this document.
    • This is an individual assignment, not a group assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others. Many solution files sent by students in assignment 1 are found to be copied and so awarded zero. You are therefore reminding here again.
    • Above all instructions are for all assignments so may not be mentioned in future.
    • There are 5 questions in the assignment but only one question will be graded. However we are not mentioning that which question will be graded so you have to provide the solution of all 5 questions.
    • Solve the assignment on MS word document and upload your word (.doc) files only. Do not solve the assignment on MS excel. If we get any assignment on MS excel or any format other than word file then it will not be graded.












    Question 1:

    If you want to get a loan with interest rate 7% per annum compounded monthly for a period of 17 years and pay Rs. 8,450 at the end of per month for this loan, then how much will you borrow?

    Question 2:

    If the basic salary of an employee is Rs. 30000 and allowances are Rs. 18,000.
    What is the taxable income of the employee?

    Question 3:

    (a) If 3 students are absent out of a class of 24, what percent of the students are absent?
    (b) If 12.5% of the students are absent in a class of 24, how many students are absent?
    (c) If 3 students are absent and these comprise 12.5% of the class, how many students are enrolled in the class?

    Question 4:

    What principal does Ali need to invest at 25% p.a.(per annum) compounding monthly so that he ends up with Rs. 100,000 at the end of five years? Also find compound interest.

    Question 5:

    A retired person wants to deposit his G.P. fund savings of Rs. 1,50,000 in a bank. The bank offers 12% interest compounded quarterly, so as to withdraw Rs. 6000 after each three months. Find the number of withdraws.
    Shows n = 47]

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  2. #2
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    send solution bro.....

  3. #3
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    dear i will submit this solution soon.

  4. #4
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    i need the solution of last question just send me again

  5. #5
    sana.pari
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    If I understand correctly you will have paid monthly payments that totalled 8,450 for 17 years. Monthly payment = 8,450 / (12 x 17) = 41.42 per month.

    The net present value (the amount borrowed) = 41.42 / (.07/12) * (1 - (1 + (.07/12))^(-12*17) = 4,933.13


    N = 17 x 12, or 204
    Interest = 7% / 12, or .5833%
    PMT = 8,450
    PV = 1,006,359

    You can borrow the PV, 1,006,359

  6. #6
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    Icon19

    First question answer
    R (interest Rate) = 7/12 = .0058%



    Periods (n) = 17*12= 204


    PMT= 8450


    PV = ?


    = PMT * [((1 + r)^n – 1) / (r * (1 + r)^n]


    =8450*(((1+0.0058)^204-1)/(0.0058*(1+0.0058)^204)) =1009126

    Question 3 answer
    If 3 students are absent out of a class of 24, what percent of the students are absent?
    Total = 24



    Absent = 3


    Percent absent = (3/27)*100 = 11.11%


    (b) If 12.5% of the students are absent in a class of 24, how many students are absent?


    12.5% means out of 100 12.5 students are absent


    = (12.5/100)*24 = 3 students are absent


    (c) If 3 students are absent and these comprise 12.5% of the class, how many students are enrolled in the class?



    If 12.5 students are absent then total students = 100


    If 1 student is absent then total students = 100/12.5


    If 3 students are absent total students = (100/12.5)*3 = 24


    Question 4:


    What principal does Ali need to invest at 25% p.a.(per annum) compounding monthly so that he ends up with Rs. 100,000 at the end of five years? Also find compound interest.


    Interest rate is 25% per annum, and compounded monthly, then the value of 'i' to use in the formula is 25%/12 = 2.08% = .0208
    i = .0208
    A = 100,000




    n = 5 years = 5*12 = 60 months


    ( As interest is compounded after every month ,we need to get all periods by multiplying years * months )
    P = ?
    P= A/(1+i)^n



    P= 100,000/((1+.0208)^60) = 29077.71


    Question 4:


    What principal does Ali need to invest at 25% p.a.(per annum) compounding monthly so that he ends up with Rs. 100,000 at the end of five years? Also find compound interest.


    Interest rate is 25% per annum, and compounded monthly, then the value of 'i' to use in the formula is 25%/12 = 2.08% = .0208
    i = .0208
    A = 100,000




    n = 5 years = 5*12 = 60 months


    ( As interest is compounded after every month ,we need to get all periods by multiplying years * months )
    P = ?
    P= A/(1+i)^n



    P= 100,000/((1+.0208)^60) = 29077.71




  7. #7
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    Icon16 Assignment # 1 MTH302 (Spring 2011) solution

    solution are in attachment
    Solution MTH302.zip

  8. #8
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    salam,
    iss attachment me solution to hy hi nhee assignment ka

  9. #9
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    salam
    3rd question k (a) part me 3/24 ho ga {3/27 nhi ho ga}

  10. #10
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    Dear friends,

    Could anyone upload the solution on MS Excel plz?

    Thanks,

    Muhammad

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