A shopkeeper gained Rs 8 by selling a pen by allowing 10% discount. Hw would have gained Rs 20, if he had not allowed discount. What was the cost price of the pen?​

Answers

Answer 1

Answer:

Cost of the pen = Rs.100

Step-by-step explanation:

Let the marked price = x

When the shopkeeper is selling for x, his gain = Rs. 20

Cost price = Marked price  - Gain = x - 20 --------(I)

After discount:

Discount = 10%

Marked price after discount = (100 - 10)% of x = 90% of x

                                               = 0.9 * x = 0.9x

When the shopkeeper is selling for 0.9x, his gain = Rs.8

Cost price = Marked price - gain = 0.9x - 8   -------(II)

From (I) and (II)

x - 20 = 0.9x - 8

x   = 0.9x - 8 + 20

x = 0.9x + 12

x - 0.9x = 12

0.1x = 12

x = 12/0.1

x = 120

Marked price of pen = Rs.120

Cost price = 120 - 20

Cost price  = Rs. 100


Related Questions

The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.

Answers

Answer:

The car reaches a stop after 8.75 seconds have passed.

Step-by-step explanation:

Select ALL the correct answers.
Select all of the equations with a solution

Answers

Answer:

B, C

Step-by-step explanation:

Plug in the x value for each x, and solve. Make sure that the two sides are equal to one another before verifying that it is true.

|-15-7|= simply the expression

Answers

Answer:

22

Step-by-step explanation:

|-15 - 7|

-15 - 7 = -22

|-22| = 22

OMG OMG OMG PLEASE HELP!!!!!!!!!!!

Answers

The answer for that is c

Answer:

C

Step-by-step explanation:

[tex]\frac{3-\sqrt{3} }{3+\sqrt{3} } *\frac{3-\sqrt{3} }{3-\sqrt{3} } \\\\=\frac{(3-\sqrt{3})^{2} }{(3+\sqrt{3} )(3-\sqrt{3} )} \\\\=\frac{9-2*3\sqrt{3}+3 }{9-3}\\\\=\frac{12-6\sqrt{3} }{6} \\\\=2-\sqrt{3}[/tex]

I litre = ? cubic centimeter​

Answers

Answer:

1000 cubic centimeter

So this will be right and also an accurate answer

Answer:

1000 cm³

Step-by-step explanation:

Just multiply the volume value by 1000.

Functions stuff. Picture attached. 30 points. thanks <3

Answers

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=\frac{3+x}{x-3}[/tex]

And we want to find:

[tex]f(a+2)[/tex]

To do so, substitute in (a+2) for x:

[tex]f(a+2)=\frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the numerator and denominator. Add 2 and 3 in the numerator. Subtract in the denominator:

[tex]f(a+2)=\frac{5+a}{a-1}[/tex]

The answer is A.

Answer:

[tex]\Large \boxed{\mathrm{A}}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x) = \frac{3+x}{x-3}[/tex]

For f(a + 2), the input for the function f(x) is (a + 2).

Replacing x with (a + 2).

[tex]\displaystyle f(a+2) = \frac{3+(a+2)}{(a+2)-3}[/tex]

Simplify the rational function.

[tex]\displaystyle f(a+2) = \frac{(3+2)+a}{a+(2-3)}[/tex]

[tex]\displaystyle f(a+2) = \frac{5+a}{a-1}[/tex]

What is X I need help i dont know how to do this

Answers

Answer:

x = 75

Step-by-step explanation:

Triangle BDH

The angle must add to 180 degrees

36+ 39 + DHB = 180

75 + DHB = 180

DBH = 180-75

DHB = 105

DBH + x = 180 since it is a straight line

105+ x = 180

x = 75

PLEASE HELP!!!! offering 45 points with brainiest

Answers

Answer:

[tex]\huge\boxed{12 \ people}[/tex]

Step-by-step explanation:

By looking at the range of histogram , we come to know that:

People who walked for 0-2 hours = 5

People who walked for 2-4 hours = 17

People who walked for 4-6 hours = 12

People who walked for 6-8 hours = 9

People who walked for 8-10 hours = 3

Answer:

12 people

Step-by-step explanation:

We want to find the number of people between 4 and 6 hours

Reading the chart, the third bar is between 4 and 6 hours

12 people

Help fast please Mario completely covered a square floor using 98.5 ft² of hardwood without any overlap.

Which measurement is closest to the side length of this floor in feet?

9.5 ft

10 ft

25 ft

48ft

Answers

Answer: The answer is 10 ft. I took the test but it didn't explain why it was the answer.

20+3(7+4)+5+2(7+9)?????

Answers

Answer:

90

Step-by-step explanation:

Be sure to use PEMDAS. Begin with parentheses, the move to multiplication, then adding.

20 + 3(7 + 4) + 5 + 2(7+9)

20 + 3(11) + 5 + 2(16)

20 + 33 + 5 + 32

You can add those final four numbers in any order you want, to get a sum of 90.

Answer:

Your answer will be 90

Step-by-step explanation

First you will have to answer what's inside the parentheses

7 + 4 = 11 , 7 + 9 = 16

Then you multiply what is next to the parentheses

3×11 = 33, 2×16 = 32

Finally you will have to add

20 + 33 =53

53 + 5 =58

58 + 32 = 90

The point is doing PEMDAS

P=Parentheses

E= Exponent

M= Multiplication

D= Division

A= Addition

S= Subtraction

Anna was driving east on a freeway at a constant velocity. She was 570 kilometers west of
her exit. In 2 hours, she drove one-third of the way to her exit. What was her velocity?

Answers

Answer:

Her velocity is 95 km/hour

Step-by-step explanation:

The given information includes;

The direction to which Anna was driving = Eastward

Her initial location on the journey = 570 kilometres west of her her exit

The distance she drove in 2 hours = 1/3 of the way to her exit

Therefore, the distance she drove in 2 hours = 1/3×570 = 190 m

Her velocity = Her distance covered/(The time it take to cover the distance)

Which gives;

Her velocity = (190 km)/(2 hours) = 95 km/hour

Her velocity = 95 km/hour.

solve : 2( 3x - 1 ) = 4( x - 1 )

Answers

Answer:

x=-1

Step-by-step explanation:

6x-2=4x-4

-4x both sides

2x-2=-4

+2 both sides

2x=-2

divide by 2

x=-1

Answer:

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

Open bracket

6x-1= 4x-4

Group like terms

6x-4x= -4+1

2x=-3

Divide both sides by the coefficient of x

X= -3/2

Step-by-step explanation:

Help please

Arrange four 2's to produce 5

Answers

Answer:

See below

Step-by-step explanation:

Produce 5 using four 2's:

Solution 1

2*2 + 2/2 = 4 + 1 =5

Solution 2

2+2 + 2/2 =4+ 1=5

Solution 3

2² + 2/2 = 4 + 1 =5

5 students participated in a push-up competition.
The amount of push-ups each student completed is listed: 12, 7, 10, 11,5
What was the mean number of push-ups?

Answers

Answer: 9

Step-by-step explanation:

Formula : Mean = [tex]\dfrac{\text{Sum of observations}}{\text{Number of observaions}}[/tex]

Given: 5 students participated in a push-up competition.

The amount of push-ups each student completed is listed: 12, 7, 10, 11,5.

Mean = [tex]\dfrac{12+7+10+77+5}{5}[/tex]

[tex]=\dfrac{45}{5}=9[/tex]

Hence, the mean number of push-ups = 9

Solve for x.
5x - 4 = -3x+ 12
X = 2
X=6
X=-4


Answers

Answer:

x = 2

Step-by-step explanation:

Given

5x - 4 = - 3x + 12 ( add 3x to both sides )

8x - 4 = 12 ( add 4 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

A computer is programmed to combine 60,000 points of data in such a way that with each iteration, there are half as many data points as before. The number of data points after any number of iterations, x, can be modeled with the following function. [tex]f(x)= 60,000(1/2)^x[/tex]

Which statement compares the mathematical range and reasonable range of the function?

A. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.

B. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.

C. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.

D. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

Answers

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than others equal to 60,000.

Step-by-step explanation:

The statement that compares the mathematical range and reasonable range of the function is the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144. The correct option is D.

What is a computer program?

A computer program is a set of instructions written in a programming language that a computer can execute. The software contains computer programs as well as documentation and other intangible components.

A program, or software program, is a set of instructions that guides the hardware of a computer to complete a task.

Therefore, the correct option is D, The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

To learn more about computer programs, refer to the link:

https://brainly.com/question/14618533

#SPJ2

math ... answer meeee

Answers

You need to find the GCF (greatest common factor) of 45 and 90, which is 45.

45 times ? gets you 45

? would be 1

45 times 1 equals 45.

45 times ? gets you 90

? would be 2

45 times 2 equals 90

45(1+2) = 45+90 = 135

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

45(1 + 2)

Step-by-step explanation:

To find the greatest common factor, we find the multiples of 45 and 90.

45: 1, 3, 5, 9, 15, 45

90: 1, 2, 3, 5, 6, 9, 15, 18, 45...

The easier way to do this is divide 90 by 2 to get our GCF, 45.

We place the 45 (GCF) in the first box and we place 1 and 2 in the parentheses because when you distribute, we get our original answer.

45(1 + 2)

x/8-1/2=6
what does that make?​

Answers

Answer:

             x = 10

Step-by-step explanation:

[tex]\frac x8-\frac12\ =\ 6\\\\{}\ \ \cdot8\qquad \cdot8\\\\x-4\ =\ 6\\\\{}\ +4\ \,\quad+4\\\\x\ =\ 10[/tex]

Write down the value of the digit 5 in 75389 write your answer in words.

Answers

Answer:

It's very easy mate!

Step-by-step explanation:

Ninty eight thousand seven hundred fifty three

that is 98753 in no.s

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

               [tex]\boxed{98753 }[/tex]    

In word form = Ninety eight thousand seven hundred fifty three

In Number form.= 98753

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Solve n/3 = 16
Please help :)

Answers

Step-by-step explanation:

To solve for n, we need to isolate the variable n.

Multiply both sides of the equation by 3 to cancel out the 3 on the left side, and multiply 3 by 16 to get our final answer.

[tex]\frac{n}{3}*3=n\\16*3=48[/tex]

Our final answer: n = 48

3. Construct Arguments which is a better
approximation of V20, 4.5 or 4.47?
Explain.

Answers

Answer:

Step-by-step explanation:

Using the identity (x + 0.5)^2 = x(x + 1) + 0.25:

4.5^2 = 4 * 5 + 0.25 = 20.25

Also 4.45^2 = 19.8

so  4.47^2 will be closer to 20 than 4.5^2.

What is the answer?

Answers

The answer is 11 if you plugged the values into the variables and solved


Evaluate the function.
[tex]f(x) = - x^{2} - 7x - 5[/tex]
Find
[tex]f( - 5)[/tex]

Answers

Answer:  5

===================================================

Explanation:

Everywhere you see an x, replace it with -5. Then use the order of operations PEMDAS to simplify

[tex]f(x) = -x^2 - 7x - 5\\\\f(-5) = -(-5)^2 - 7(-5) - 5\\\\f(-5) = -(25) - 7(-5) - 5\\\\f(-5) = -25 + 35 - 5\\\\f(-5) = 10 - 5\\\\f(-5) = 5\\\\[/tex]

Keep in mind that for the x^2 term, you are squaring all of x = -5, which includes the negative as well. So that means

x^2 = (-5)^2 = (-5)*(-5) = 25

but sticking a negative out front makes

-x^2 = -(-5)^2 = -25

18 divided by 3-7+2x5
Please help!!!

Answers

The answer is to 18/3-7+2 x 5 is 3

Equivalent expressions are expressions that have the same values.

The result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9

The expression is represented as:

[tex]\frac{18}{3} - 7 + 2 \times 5[/tex]

Using BODMAS, we start by dividing 18 by 3

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 2 \times 5[/tex]

Evaluate the products of 2 and 5

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 - 7 + 10[/tex]

Evaluate the sum of -7 and 10

[tex]\frac{18}{3} - 7 + 2 \times 5 = 6 + 3[/tex]

Evaluate the sum of 6 and 3

[tex]\frac{18}{3} - 7 + 2 \times 5 = 9[/tex]

Hence, the result of [tex]\frac{18}{3} - 7 + 2 \times 5[/tex] is 9

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Can you help me I am stuck on it​

Answers

Answer:

-7 is less than or equal to 0

Step-by-step explanation:

range is looking at the correlation on the graph from left to right. At -7, there is a dot and at 0, there is a dot. The graph is not continuous, so that is the answer.

Please help! I need details for all the transformation(s). (Translation, reflection, rotation.)

Answers

Answer:

ABC is reflected over the line x=1, then translated up 6 units.

The lengths of the sides of the triangles are congruent, so the triangles are congruent.

Step-by-step explanation:

ABC is reflected over the line x=1, then translated up 6 units.

The lengths of the sides of the triangles are congruent, so the triangles are congruent.  

Write the equation in standard form for the circle that has a diameter with endpoints (22,0) and (2,0)

Answers

Answer:

(x - 12)² + y² = 100

Step-by-step explanation:

The standard form of the equation of a circle is;

(x - a)² + (y - b)² = r²

where:

a and b are the coordinates of the centre of the circle

r is the radius

We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)

Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.

Coordinates of the centre is;

((22 + 2)/2), (0 +0)/2))

This is;

(12, 0)

So, a = 12 and b = 0

Now,to get the radius r, we will use the formula;

r = √[(x2 - x1)² + (y2 - y1)²]

Where;

(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)

r = √[(12 - 22)² + (0 - 0)²]

r = √(-10)²

r = √100

r = 10

Thus,equation of the circle is;

(x - 12)² + (y - 0)² = 10²

(x - 12)² + y² = 100

can someone help me out ​

Answers

Answer:

its an INTEGER , a RATIONAL NUMBER and a REAL NUMBER

all are correct

hope it helps (✷‿✷)

During a rain shower, Jeanette collects 42 1/2 gallons of water in a rain barrel outside her home. She uses 1 1/4 gallons to water plants inside her house. Then, she uses 1/2 of the remaining water to wash a load of dirty laundry. How many gallons of water does Jeanette use to wash her laundry?

Answers

Answer: 20 5/8

Step-by-step explanation:

We did this problem in class and that’s the answer we got

Answer:20 5/8

Step-by-step explanation:

i think this is correct

If you're good at math i'd love some help :)

Answers

Answer:

x = 10     x = -2

Step-by-step explanation:

(x-4)^2 -28 = 8

This is a parabola on the left and a constant line on the right.  The parabola will cross the line twice, so there will be two solutions

see attached

Add 28 to each side

(x-4)^2 -28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4+6    x = 4-6

x = 10     x = -2

Answer:

x = 10, and x = - 2

Step-by-step explanation:

This equation has two solutions, as it resembles a quadratic equation. When graphed it will be a parabola, and hence intersects the x - intercept at two points, giving us two solutions.

Let's start by expanding the equation,

(x - 4)² - 28 = 8,

(x - 4)² = 28 + 8,

(x - 4)² = 36,

x - 4 = √36, and x - 4 = - √36

x - 4 = 6, and x - 4 = - 6

Solution(s) : x = 10, and x = - 2

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