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# MTH302 Assignment 1 Solution Fall 2021 Virtual University

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## MTH302 Assignment 1 Solution Fall 2021

### Solution

The formula for area is: A=1/2(Base×Height)

Let Suppose the height is fixed and that is 10 meter

now putting the values area changed for 30 S1.m

30= 1/2 (base*10) 30*2=base*10 =60/10=6

Now Putting the value for 35sq.m

35*2=base*10

70/10=7

To find the percentage increase in value the formula is

C=(x_2-x_1)/x_1

C=(7-6)/6 =1/6 =0.16100=16%

The percentage change in the base of the triangle is 16%.

### Solution

First Package

2 Islamic book = 1252 = 250 Reminder Islamic books …..0 2 science book = 1252 = 250

Reminder Science books are 50

2 Geography = 125*2 = 250

Reminder geography books are 20

Let’s Make the 2nd package

2 Islamic book = 752 = 150 Reminder books are : 100 4 Science book = 754 = 300

Reminder books are: 0

1 Geography Book = 75*1 = 75

Reminder books are: 195

Let’s make the 3rd package

3 Islamic book are = 543 = 250 Reminder books : 88 4 Science book are = 544 = 216

Reminder books are : 84

5 Geography books are = 54 * 5 = 270

Reminder books are: 0

Now how many packs should be made to maximize the book fair:

125 for first package

75 for 2nd package

54 for 3rd package

What will be the profit now?

By multiplying the package by the given prices

120125 = 15000 10075 = 7500

270*54 = 14580

### Solution

Series discount of 3%, 5%, and 7%

The formula for series discount is quite simple

Net price = L*1(1-d_1 )(1-d_2 )(1-d_3 )

List Price = 16,000,000

N = 16,000,000 * 1 (1-3%)(1-5%)(1-7%)

The formula for series discount is quite simple

Net Price = 16,000,000

N=16,000,0001(1-3%)(1-5%)(1-7%) N=16,000,0001(1-0.03)(1-0.05)(1-0.07)

N=16,000,0001(0.97)(0.95)(0.93) N=16,000,0000.856995

N=13,71,192

Deal 2: A Cash Discount of 15/10 (i.e. 15% discount if payment is made in the first 10 days).

the formula for cash discount is

N=L(1-d)

N=16,000,000(1-15%)

N=16,000,000(0.85)

N=13,60,000

The deal No 1 is: N=13,71,192

The deal no 2 is: N=13,60,000

So as a buyer, we will be in more benefits if we buy the 2nd deal.

MTH302 Assignment 1 Solution Fall 2021

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