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

[Xpert]

Assignment # 1

MTH302 (Spring 2011)

Total marks: 10

Lecture # 1 to 8

Due date: 15-04-2011

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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?
© 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]

[umyrx]

send solution bro.....

[Xpert]

dear i will submit this solution soon.

[khurrami]

i need the solution of last question just send me again

[sana.pari]

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

[Xpert]

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



[B]Periods (n) = 17*12= 204[/B]


[B]PMT= 8450[/B]


[B]PV = ?[/B]


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


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

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



[B]Absent = 3[/B]


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


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


[B]12.5% means out of 100 12.5 students are absent[/B]


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


[B]© If 3 students are absent and these comprise 12.5% of the class, how many students are enrolled in the class?[/B]



[B]If 12.5 students are absent then total students = 100[/B]


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


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


[B]Question 4:[/B]


[B]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.[/B]


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


[B]Question 4:[/B]


[B]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.[/B]


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

[Vuhelper]

solution are in attachment

  Solution MTH302.zip (Size: 7.51 KB / Downloads: 349)

[rania]

salam,
iss attachment me solution to hy hi nhee assignment ka
[SIZE="4"][COLOR="DarkRed"][/COLOR][/SIZE]

[rania]

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

[crpshoaib]

Dear friends,

Could anyone upload the solution on MS Excel plz?

Thanks,

Muhammad