A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book? ( with explanation )

Answers

Answer 1

Answer:

$6,300

Step-by-step explanation:

Step 1

Find the Cost Price of the books

A trader purchased 1,000 books at the rate of $5.40 per book

This is calculated as:

If 1 book = $5.40

1000 books = ???

We cross multiply

1000 books × $5.40

= $5,400

He bought 1000 books for $5,400

His total cost price = Transportation + Cost of books

Transportation = $200

Cost price = $5,400 + $200

= $5,600

Step 2

Find the profit he made from the sale of the books

Percentage profit = Profit / Cost price × 100

Percentage profit = 12.5%

Cost price = $5,600

We have :

12.5 = Profit/ $5,600 × 100

12.5 = (100 × Profit)/ $5,600

Cross multiply

12.5 × $5,600 = 100 × Profit

Divide both sides by 100

(12.5 × $5,600) ÷ 100 = Profit

Profit = $700.

Step 3

Find the selling price

The Formula to calculate Selling Price is given as:

Selling price = Cost Price + Profit

Selling price = $5,600 + $700

Selling price = $6,300


Related Questions

39 calls in 6.5 days is ______ calls per day? *

Answers

Answer:

39/6.5=6 calls per day

Answer:

6

Step-by-step explanation:

6 ( 6.5)= 39

is six hundred seventy-two thousand__0.8 is it greater than less than or equal to 5th grade mathhh

Answers

Answer:

Equal to grade 5 math.

A bike that you really want is on sale of 15% off... If it is normally $83.99, how much would it now that it is on sale?

Answers

100%-15%=85% =.85(83.99)=$71.39

Answer

$71.4

Step-by-step explanation:

[tex]83.99 \times \frac{15}{100} \\ = 12.59[/tex]

Now let's find the new price of the bike.

[tex]83.99 - 12.59 \\ = 71.4 \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help me with this question. Will give 10 points.

Answers

Answer:

x = 2.99

Step-by-step explanation:

We can use ratios to solve

5.4            2.6

--------- = ---------

6.21         x

Using cross products

5.4x = 2.6* 6.21

5.4x =16.146

Divide each side by 5.4

5.4x = 16.146/5.4

x = 2.99

The sum of three consecutive integers is 915. What are the integers?
A. 304, 306, 308
B. 305, 306, 307
C. 300, 300, 315
D. 304, 305, 306

Answers

Answer:

304,305,306

Step-by-step explanation:

x +x+1+x+2=915

3x+3=915

3x=915-3

3x=912

x=304

The three consecutive integers are 304, 305 and 306, option D is correct.

What is Number system?

A number system is defined as a system of writing to express numbers.

Let the three consecutive numbers be x, x+1 and x+2

Sum of three consecutive integers is 915.

x+x+1+x+2=915

3x+3=915

Subtract 3 on both sides

3x=912

Divide both sides by 3

x=304

Hence, the three consecutive integers are 304, 305 and 306, option D is correct.

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Which line segment could be mid segment of abc? 21 points!!!!

Answers

Answer:

DF

Step-by-step explanation:

the mid segment is a line that connects the midpoints.

Answer:

DF or option 3

Step-by-step explanation:

DF, since it connects midpoints of sides AB and CB and is parallel to one side: AC

Thus the answer is DF or option 3

At the beginning of the month, a rain barrel contained 12 ounces of water. At the end of the month there are 8 1/4 cups of water in the rain barrel.


How many cups of rain water were added to the barrel during the month?

Answers

Answer:

The cups of rain water that were added to the barrel during the month is:

6.75 cups.

Step-by-step explanation:

First, you must know the conversion units between ounces and cups:

1 cup = 8 ounces.

Then, at the beginning of the month, the rain barrel contained 12 ounces, what is in cups:

1 cup = 8 ounces. X = 12 onces.

We operate:

X = (12 * 1) / 8 X = 1.5 cups

Now, how at the end of the month there are 8 1/4 cups of water in the rain barrel, in a decimal number it is equal to:

8 1/4 cups = 8.25 cups

To know what is the cups of rainwater were added to the barrel during the month, you must subtract the number of cups at the beginning of the month to the number of cups at the end of the month:

Cups of rainwater that were added = 8.25 cups - 1.5 cups Cups of rainwater that were added = 6.75 cups.

Answer:

6.75

Step-by-step explanation:

i just took the test

Jerold takes out a 60-month loan for $21,500. At a 1% interest rate, what is his monthly payment?
use Amortization formula:

a) $295
b) $315
c) $321
d) $368

Answers

Answer:

D

Step-by-step explanation:

PLEASE can someone help with this??IT IS important

Answers

Answer:

1) x=5 so angles are 25°, 80° and 75°

Step-by-step explanation:

The angles of a triangle should add up to 180. So e.g., for the first one, you know that

5x + 16x + 15x = 180

so

36x = 180

x = 5

Answer:

4

Step-by-step explanation:

I, m

Can someone help me with this question?

Answers

Answer:

Answer is D

Step-by-step explanation:

$12 x 4 = $48

$68 - $4 = $20

Y= $20(her bonus)

X= 4

20(y) - 68 = 12(x - 4)

In Pennsylvania, the state sales tax is 6%. A book costs $11.50 and a video game costs $65. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
A.$4.59
B.$3.90
C.$3.21
D.$0.69

Answers

Answer:

The answer is $4.59

Step-by-step explanation:

You have to add the two prices, divide by 100, and multiply by 6

Which equation has only one solution?

Answers

Answer:

last option x would =.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

gay

What is the greatest common factor of 4x5y2+16x3y4−8x6y3?

Answers

Answer:

4x^3y^2

Step-by-step explanation:

Then the remaining would be

x^2+4y^2-2x^3y

Answer:

4x^3y^2

Step-by-step explanation:

Please refer to the picture attached.

What is the slope of the line given by the equation y= -3x

Answers

Answer:

-3

Step-by-step explanation:

The given equation is in slope intercept form.

The form is y=mx+b

This is where "m" is the slope, and "b" is the y intercept.

So in this equation, m=-3.

Therefore, the slope is -3.

Which value of b would make x^2 + bx- 2 factorable? -2 -1 0 3

Answers

Answer:

3

Step-by-step explanation:

Work backwards in this problem:

(x+1)(x+2)

x^2+x+2x+2

x^2+3x+2

b=3

If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box

Answers

Answer:

Surface area of the cube = 216 square units

Step-by-step explanation:

Let the length of a side of a cube = x unit

Diameter of the sphere inscribed in this cube = length of a side of the cube

Volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Where r = radius of the sphere = [tex]\frac{x}{2}[/tex] units

36π = [tex]\frac{4}{3}\pi (\frac{x}{2})^{3}[/tex]

36π = [tex]\frac{4x^{3}\pi }{24}[/tex]

36×24 = 4x³

x = [tex]\sqrt[3]{\frac{36\times 24}{4} }[/tex]

x = 6 units

Length of a side of the cube = 6 units

Surface area of the cube = 6×(Side)²

                                          = 6×(6)²

                                          = 216

                                          = 216 square units    

Solve the equation, 2x + 1 = 3, for x. Which of the following properties of equality did you apply? Question 8 options: A) Subtraction and multiplication B) Addition and division C) Addition and multiplication D) Subtraction and division

Answers

Answer:

2x+1=3

2x=3-1

(Subtraction)

x=1

(Division)

(subtract and divide)

x=1
subtraction and division

Radon-219 has a half-life of about 4 s.

After 20 s, how many milligrams of a 500 mg sample will remain?

435.3 mg

211.6 mg

31.3 mg

15.6 mg

Help please I’ll make you the brainliest if right

Answers

Answer:

15.6 mg

Step-by-step explanation:

First 4 s- 500/2= 250 mg

After 8 s- 250/2= 125 mg

After 12 s- 125/2= 62.5 mg

After 16 s- 62.5/2= 31.25 mg

At 20 s- 31.25/2= 15.625 mg

The milligrams of a 500 mg sample will remain at 15.625 mg.

We have given that,

5.6 mg

Radon-219 has a half-life of about 4 s.

What is the sample?

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

After 20 s,

First 4 s- 500/2= 250 mg

After 8 s- 250/2= 125 mg

After 12 s- 125/2= 62.5 mg

After 16 s- 62.5/2= 31.25 mg

At 20 s- 31.25/2= 15.625 mg

Therefore, the milligrams of a 500 mg sample will remain 15.625 mg.

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4(1 - x) + 3x = - 2(x + 1)

Answers

Answer:

X=-6

Step-by-step explanation:

4(1−x)+3x=−2(x+1)

(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)

4+−4x+3x=−2x+−2

(−4x+3x)+(4)=−2x−2(Combine Like Terms)

−x+4=−2x−2

−x+4=−2x−2

Step 2: Add 2x to both sides.

−x+4+2x=−2x−2+2x

x+4=−2

Step 3: Subtract 4 from both sides.

x+4−4=−2−4

x=−6

Answer:

x=−6

Answer:

x=-2

Step-by-step explanation:

4 - 4x + 3x=-2x -2

4 -1x=-2x -2

4= -1x -2

2=-1x

x=-2

Linda is building steps for her porch. What is the volume of the steps?
144,000 cm3
288,000 cm3
324,000 cm3
540,000 cm3

Answers

Answer:

The volume of the steps is:

324,000 cm3

Step-by-step explanation:

Remember that the volume regularly is:

Volume = height * width * depth.

There are many forms to solve this exercise, but I'll show you two:

1. Imagine that aren't steps but a big solid, then its volume would be:

Volume of big solid = 60 cm * 60 cm * 120 cm Volume of big solid = 432000 cm3

Now you can subtract the volume of a small solid with measures 30 cm * 30 cm * 120 cm (where is the blank for the step):

Volume of a small solid = 30 cm * 30 cm * 120 cm Volume of a small solid = 108000 cm3

Now you subtract:

Volume of the building steps = 432000 cm3 - 108000 cm3 Volume of the building steps = 324000 cm3

2. The building steps are formed by three solid with volume 30 cm * 30 cm * 120 cm, so:

Volume of the building steps = 3 (30 cm * 30 cm * 120 cm) Volume of the building steps = 324000 cm3

Help me out with this question look at the picture

Answers

Answer:

B.

Step-by-step explanation:

The dots are completely random.

In 2005 a house was purchased for $280,000 and
in 2013 it was sold at $334,000. Assuming that
the value of the house increased at a constant
annual rate what will be the price of the house in
the year 2018?

Answers

Given that in 2005 a house was purchases for 280,000 and was later sold in 2013 for 334,000, determine the increase value of the house and what the price of the house will be in 2018.

First, we subtract the two values of the house on both dates.

334,000 - 280,000 = 54,000

Then, divide the difference by the amount of years from 2005 to 2013.

54,000/8 = 6,750

Since, it says the value increases at a constant rate, this indicates that it is a linear function.

So, the linear function would start at 280,000 as the y-intercept and the slope is 6,750.

Linear Function: y = 6750x + 280,000

Lastly, to find the price of the house in 2018, we just need to plug in 13 for x since x represents the years.

y = 6750x + 280,000

Plug in 13 for x.

y = 6750(13) + 280,000

y = 87750 + 280,000

y = 367,750

Thus, the value of the house in 2018 is $367,750.

A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, what inequality represents m, the distances in miles he can travel in the taxi?

Answers

Answer:

1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

D. m≤28

Step-by-step explanation:

Just trust me my friendings

The volume of a solid cylinder is 1584 cubic cm and its height is 14 cm. The radius is

Answers

Answer: 6 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x radius ² x height  

Replacing with the values given and solving for v (Volume)  

1584 = π x r ² x 14

Solving for r:

1584 / (π x 14) = r²

36.01 = r²

√36.01 = r

6 cm = r

In conclusion, the radius of the cylinder is 6 centimeters.

Feel free to ask for more if needed or if you did not understand something.

Answer:

The radius is 6 cm

Step-by-step explanation:

To solve this, we will follow the steps below:

write down the formula for finding the volume of a cylinder

volume of a cylinder =πr²h

from the question volume of the cylinder = 1584 cm²

height = 14 cm

substitute the formula and solve for r

π is a constant and is ≈ 3.14

1584 = 3.14×r²×14

1584= 43.96 r²

divide both-side of the equation by 43.96

36≈ r²

take the square root of both-side

√36 = √r²

6 = r

r = 6cm

The radius is 6 cm

Which equation describes the line that passes through points (2,5) and (0,9)?

Answers

Where’s the equation ? Is there a picture to it ?

In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the range?

Answers

Answer:

Range: 12

Step-by-step explanation:

65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Formula:

Range: highest value - lowest value = final answer

Range: 77 - 65 = 12

Which line plot displays a data set with an outlier?

Thank you


WILL MARK BRAINLIEST

Answers

the option on the bottom right corner.

。☆✼★ ━━━━━━━━━━━━━━  ☾  

It would be the last graph (bottom right)

An outlier is a point that is much further away from the rest of the data

As you can see, that graph has one piece of data that is much further away from the rest of the data

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

please help!!!! I need the answers.

Answers

Answer:

Angle A: 40°

Angle B: 50°

Angle C: 90°

Side A: 14

Side B: 12

Side C: 11.2 or 11 if you round to the nearest whole number.

Step-by-step explanation:

Angle A;

Since we know angles B and C we can use those to help us find angle since all three angles should add up to 180°.

90-50=40

Angle A= 40°

Side C;

Since we know all the angles now and the other two side lengths, we will use those to help us find Side C.

cos 40°= C/14

C/14= cos 40°

C/14=  .8

C= .8 x 14

C= 11.2

Hope this helps! Have a great day! :)

HELP ASAP PLEASE I WILL GIVE YOU THE POINTS !!

What is the area of this polygon?
Enter your answer in the box.

Answers

Answer:

51 units2

Step-by-step explanation:

42 + 9 = 51 units2

HELP ME PLEASSEE!!! ASAP!!!!!!!
Mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. Instead of receiving money, Mindy would like a $12 pizza, including 5 percent sales tax. Is this a fair trade? Explain how to find the solution. Please answer quickly!! I have seen many other answers to this question, however, I don't see anybody who answered the sales tax. What does the sales tax mean??? Do you add it to the $12 pizza???
ASAP PLEASE!!!

Answers

OK so basically, she’s at the pizza shop selling paintings, since she’s selling it at their venue, the owners may demand a small commission of a price. In this case that is 15% of $15. 15% of 15 is 2.25, meaning she only gets $12.75. Mindy would like to buy a pizza for $12, she has 12, but does she have enough to make the sales tax. 12×.05 is $0.6 dollars which means she has enough money to buy it.
Yes the Sales Tax should be added onto the total cost considering you always pay tax with whatever you buy! If the pizza is 12$ the sales tax would be 0.60$ which makes the total for a pizza 12.60$.
Now if the 15% commission was it, it would be 2.25$, leaving 12.75$ after.

So it wasn’t multiple choice, but if mindy gets a pizza, that’d be losing 0.15$ each time instead of paying commission

I suck at math tho
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