Mth302 - Non Graded Assignment solution

Question 1:
If ba = 2a + b , then find 23 + 32 +1

Answer:-
If b^a = 2a + b,then for
2^3
a=3,b=2
Put the values of a and b
= 2a + b
=2(3) + 2
= 6 + 2
= 8
3^2
a=2,b=3
Put the values of a and b
= 2a+b
= 2(2) + 3
= 4+3
= 7
so
= 2^3 + 3^2 +1
= 8 + 7 + 1
=16


Question 2:
What is the main difference between Gross salary and Net salary?

Answer:-
Gross Salary is your total Salary before deductions and taxes have been subtracted.
Net Salary is your take-home salary after deductions.

Question 3:
The salary of an employee is as follows:
Basic salary = 45,000 Rs.
Allowances = 25,000 Rs.
What is the taxable income of employee?

Answer:-

% Allowances = (25000/45000) x 100 =55.55%
Allowed non-taxable allowances = 50% = 0.5 x 45000 = 22500 Rs.
Taxable allowances = 55.55% – 50% = 25000 - 22500 = 2500 Rs.
Hence 2500 Rs. of allowances are taxable.
Total taxable income = 45000 + 2500 = 47500 Rs.
Add back to the income of the company = 5.55% allowances = 2,500

Question 4:
A wooden door has a list price of Rs. 8500. A trade discount series of 10, 5, and 3
is offered. Find the amount of the discount and the net price.


Answer:-

Discount

List Price = 8500

Discount Rate = 10%

Discount = List price * Discount Rate

= 8500 * 10/100

= 850

Net price = list price – Discount

= 8500 – 850

= 7650



Discount

List Price = 8500

Discount Rate = 5%

Discount = List price * Discount Rate

= 8500 * 5/100
= 425

Net price = list price – Discount

= 8500 – 425

= 8075



Discount

List Price = 8500

Discount Rate = 3%

Discount = List price * Discount Rate

= 8500 * 3/100

= 255

Net price = list price – Discount

= 8500 – 255

= 8245


Question 5:



A person invests an amount of 7500 in a Bank at the rate of 9% per annum; find the compound interest by the

investor after 10 years.


Answer:-
S = Money accrued after n years
P = Principal = 7500
r = Rate = 9% per annum
n = Number of years = 10 years
S = P(1 + r/100)^ n


Put the values in formula

S = 7500(1+9/100)^10



S = 7500(1+0.9)^10



S = 7500(1.09)^10



S = 7500(2.367363675)



S = 17755.22756

Question 6:



For a simple annuity of Rs.2000/year for 5 years if money is worth:

then find this accumulated value.



Answer:-



FV = Future Value = ?

PMT = Periodic Payment Amount = 2000

N = Number of compounding periods = 5 years

I = Interest Rate = 9% = 0.09



FV = PMT [(1+i)^n – 1)/i]


FV = 2000 [(1+0.09)^5 – 1 /0.09]


FV = 2000 [(1.09)^5 – 1 /0.09]

FV = 2000 [(1.5386 – 1) /0.09]

FV = 2000 [(0.5386) /0.09]

FV = 2000 [5.9847]

FV = 11969.4

Question 7:


Suppose you make a saving of Rs. 50,000 at the end of each month, assume an interest of 7% compounded monthly, how much will you have accumulated at the end of 4 years?

Answer:-

FV = PMT [(1+i)^n – 1)/i]

FV = 50000 [(1+0.07/12)^48 – 1 /0.07/12]

FV = 50000 [(1.00583)^48 – 1 / 0.00583]

FV = 50000 [(1.32184– 1) / 0.00583]

FV = 50000 [(0.32184 /0.00583]

FV = 50000 [55.20]

FV = 2760000

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