A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle​

Answers

Answer 1

[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]

We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]

[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]

[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]

[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]

[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]

Hence , SP = Rs 3600

[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]

Let Marked Price [ MP ] be x.

[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]

[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]

[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]

[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]

Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)

Related Questions

What should be done so that the expression will have a value of 28?

6 + 2 + 32 × 2

Answers

Answer:

6+2+(32×2)

6+2+(64)

8+64

72

difference between 72 and 28

72-28

=44

add 44 to make the value 28

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Answer is in attached image

I hope it help...

Please i need help lllll

Answers

Answer:

C

Step-by-step explanation:

A function x values must correspond to one y values.

One y values can correspond to two different x values.

C shows this isn't a function

C Hope this helps!!!

which linear function shows a direct variation

Answers

Answer:

a pod t.v. Ka ssh Mic yummy

The table below gives the distribution of milk
chocolate M&M's
Color
Brown
Red
Yellow
Green
Orange
Blue
Probability
0.13
0.13
0.14
0.16
0.20
0.24
If a candy is drawn at random, what is the probability
that it is not orange or red?


PLZ HELP!!!!!

Answers

Answer:  0.67

Explanation:

The probability of picking red is 0.13

The probability of picking orange is 0.20

The probability of picking either of these is 0.13+0.20 = 0.33

So the probability of picking neither of them is 1 - 0.33 = 0.67

There's a 67% of this happening.

Answer:

0.34

Step-by-step explanation:

because the probability of red is 20 and the probability of orange is 14 20 + 14 is 34.

Does anyone know the answer to this? I’m getting confused

Answers

Answer:

0

Step-by-step explanation:

Substitute b into -3.

Hence,

(b+3)(b²-5b+7)=(-3+3)(-3²-15+7)

=(0)(1)

=0

The answer is 0. Sub in negative 3 for b and you’ll get 0

can someone help me make these into square root graphs? i thought i knew how, but trying it is confusing me

Answers

Answer:

Step-by-step explanation:

explain why the following equation is nonlinear. y=3x^5

plz help

Answers

Answer:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1  and the degree of variable  x  is  5 .

Therefore, it is not linear.

How is volume calculated for a triangular prism?
Multiply the area of triangle base by the prism’s total area.
Multiply the area of the triangular base by the prism’s height.
Multiply the area of the triangular base by the triangle’s height.
Multiply the area of the rectangular face by the height of the prism.

Answers

Answer:

B

Step-by-step explanation:

The volume of any prism whose height is perpendicular to the base is

V = B * h

The base can be anything, even a 17 sided figure. As long as the base has an area that can be found, and the height is perpendicular to it, the volume can be calculated.

Answer:

How is volume calculated for a triangular prism?

Multiply the area of the triangular base by the prism’s height.

What’s the answer? I don’t understand the question and I came to see if you all can help

Answers

Answer:

15/2 that is the answer man

plzzz helppppp 111111

Answers

Answer:

233 or option D

Step-by-step explanation:

In all shapes, all the angles add up to 360

So . . .

95 + x + 32 + x = 360

127 + x + x = 360

360 - 127 = 233

Therefore, your answer is 233 or option D

Answer:

233, D

Step-by-step explanation:

First, we know that the angles of a quadrilateral add up to 360 degrees. Therefore,

m∠a+m∠b+m∠c+m∠d = 360

m∠a+95+m∠c + 32 = 360

m∠a+m∠c + 127  = 360

subtract 127 from both sides

m∠a + m∠c = 233

Hi, I need help with this!!! I don’t understand this :-(

Answers

Answer: See image and explanation below

Step-by-step explanation:

The problem gives us 6 points to draw into the sketch.

The first and second point gives the domain and range of the sketch. The last 4 points tell us the coordinates.

Let's do the first two points. This tells us that the sketch should not go further (-3,0) and (3,0) of the x-axis, and should not go further (0,0) and (0,4) of the y-axis.

For the last 4 points, we can convert them to coordinates and graph them. The points would be (-2,3), (1,2), (-3,0), (3,0), and (0,4).

After we draw the 5 points listed above onto the graph, we can connect the points.

In the image I attached, the lines are straight, but when you draw it out, you should make your lines more curved.

The sum of twice a number and 9 is-25

Answers

The answer is in the picture with steps on how to get it

Find out the values of x and y from the following ordered pairs.
(x + y, 2) = (13, 2x – y)

Answers

Answer:

(x, y) = (5,8)

Step-by-step explanation:

Comparing the ordered pairs we get, x+y=13 and 2=2x-y. Solving it we will get, x=5 and y=8

what is the remainder when 3 is synthetically divided into the polynomial -2x^2 + 7x -9

Answers

Answer:

-6

Step-by-step explanation:

-6 is the answer .

Hope it helps you

Answer:

-6

Step-by-step explanation:

A A theatre show lasts 162 minutes. How many hours long is 162 minutes? Show any remaining minutes as a decimal.​

Answers

it’s 2hours 0.7 minutes i guess

Answer:

2. 42 hrs

Step-by-step explanation:

we know that there are 60 minutes in one hour.

60 mins = 1 hour

162 mins = 162/ 60

[tex] \frac{162}{60} = \frac{120 + 42}{60} \\ = \frac{120}{60} + \frac{42}{60} \\ = 2 hrs+ \frac{42}{60} hrs[/tex]

42/ 60 hourse would mean 42 mins ( multiply the fractions with 60)

= 42 mins

therefore,

2hrs 42 mins

= 2. 42 hrs.

The area of a rectangle is 33 ft^2, and the length of the rectangle is 5 ft less than double the width. Find the dimensions of the rectangle.

Answers

Answer:

Length = 6

Width = 5.5

Step-by-step explanation:

Let's use the variable x to represent the width:

x = width

The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:

2x - 5 = length

To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:

(x)(2x - 5) = 33

Now use basic algebra to solve for x:

2x^2 - 5x = 33

2x^2 - 5x - 33 = 0

2x^2 + 6x - 11x - 33 = 0

(2x^2 + 6x) + (-11x - 33) = 0

2x(x + 3) - 11(x + 3) = 0

(2x - 11) (x + 3) = 0

x = 11/2, -3

x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.

Now plug in 5.5 to the length expression and simplify:

2(5.5) - 5

11 - 5 = 6

The length is 6 and the width is 5.5.

Hope this helps (●'◡'●)

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is

Answers

Answer:

no change in area

Step-by-step explanation:

The original area is

A = 12*5 = 60 ft^2

The new length and width

l = 12 + .25 (12) = 12+3 =15

w = 5 - .2 (5) =5-1 = 4

The new area is

A = l*w =15*4 = 60 ft^2

The area is the same


At the bulk food store, Jerry bought 200 g of mixed nuts that cost $2.50. What is the cost of 1 g of nuts? show ur work

Answers

Step-by-step explanation:

200g=$2.50

1g=?

2.50*1=?*200

2.50/200=?

$0.0125

a company's stock was selling at 28 a share. a month later, it was selling at 21 a share. what is the percent loss?

Answers

Answer:

25% loss

Step-by-step explanation:

Take the original amount and subtract the new amount

28 -21 = 7

Divide by the original amount

7/28 = .25

Change to percent form

25%

25% loss

Tulio will invest​ $1,000,000 at​ 5% annual interest. Determine how much money will Tulio have after 10 years if the interest is calculated using the following methods.

Answers

Answer:

$1,500,000

Step-by-step explanation:

Given

Principal = $1,000,000

Rate = 5%

Time = 10years

Interest = PRT/100

Interest = 1000000*5*10/100

Interest = 100000*5

Interest = $500,000

Amount after 10years =  $1,000,000+ $500,000

Amount after 10years = $1,500,000

The height, h, in metres, of a rocket t seconds after it is launched is approximately modelled by the quadratic relation h = 80t - 16t2. To the nearest second, how long is the rocket in the air?

Answers

Answer: 5 s

Step-by-step explanation:

Given

Height of the rocket can be modelled as [tex]h=80-16t^2[/tex]

Rocket will land on earth when it's height becomes 0

[tex]\Rightarrow 80t-16t^2=0\\\Rightarrow t(80-16t)=0\\\\\Rightarrow t=0\ \text{or}\ t=\dfrac{80}{16}=5\ s[/tex]

Neglecting 0 value

Thus, rocket remains in air for 5 s.

How to find a parallel sides of trapezium length 7.3mm and 5.3mm ,and it's height is 5mm calculate the area of a trapezium

Answers

Answer:

31.50 mm²

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =  1/2 x (sum of the lengths of the parallel sides) x height

1/2 x ( 7.3 + 5.3) x 5 = 31.50 mm²

Please help
Me find that last box I’m struggling

Answers

Answer:

(0,-4)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y= -3(0)^2+12(0)-4

=-4

Answer:

Axis of symmetry: x=2Vertex: (2, 8)Y-intercept: (0, -4)Min/Max: Maximum

Step-by-step explanation:

Concept:

Quadratic equation formula: y=ax²+bx+c

Axis of symmetry formula=-b/2a

Y-intercept formula=c

Minimum or maximum is determined by the first term of the equation, which is [a]. If [a] is positive, then it is a minimum equation as the parabola heads up. If [a] is negative, then it is a maximum equation as the parabola heads down.

Given:

y = -3x² + 12x - 4

Solve:

The axis of symmetry formula = -b/2a

-(12)/2(-3) = 2

The Vertex

y=-3x²+12x-4=-3(2)²+12(2)-4=8(2, 8)

Y-intercept=c=(0, -4)

Min/Max

Since [-3] is negative, it is maximum

Hope this helps!! :)

Please let me know if you have any questions

What must be true if [tex]\frac{x}{y}[/tex] / [tex]\frac{3a}{b} =\frac{3a}{b}[/tex]? Assume a[tex]\neq[/tex]0, b[tex]\neq[/tex]0, and y[tex]\neq[/tex]0.

Answers

Answer:

4th option is correct

Step-by-step explanation:

Use trigonometric identities to solve each equation within the given domain.
–sin2(x) = cos(2x) from [–π, π]. PLEASE SHOW WORK!!!

Answers

It looks like the equation is

-sin²(x) = cos(2x)

Recall the half-angle identity for sine:

sin²(x) = (1 - cos(2x))/2

Then the equation can be written as

-(1 - cos(2x))/2 = cos(2x)

Solve for cos(2x):

-1/2 + 1/2 cos(2x) = cos(2x)

-1/2 = 1/2 cos(2x)

cos(2x) = -1

On the unit circle, cos(y) = -1 when y = arccos(-1) = π. Since cosine has a period of 2π, more generally we have cos(y) = -1 for y = π + 2 where n is any integer. Then

2x = π + 2

x = π/2 +

In the interval [-π, π], you get two solutions x = -π/2 and x = π/2.

Business math problem, whats the formula for this, how do I do this?

Answers

Answer:  C) 45 dollars

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

Explanation:

x = sticker price, which is some number larger than 9 (otherwise the store loses money)

x-9 = profit made per speaker

To get the gross margin percentage, we divide the profit over the sales (aka revenue). So we'll divide (x-9) over x

The expression (x-9)/x represents the gross margin in decimal form. Set this equal to 0.80 and solve for x

-----------------

(x-9)/x = 0.80

x-9 = 0.80x

x-0.80x = 9

0.20x = 9

x = 9/0.20

x = 45

The sticker price is $45

-------------------

If the sticker price is $45 per speaker, then the store owner gets 45-9 = 36 dollars in profit per speaker sold. The gross margin would be (profit)/(sales) = 36/45 = 0.80 = 80%

In other words, 80% of the revenue is profit (the remaining 20% is costs or expenses).

Write An expression of the fourth degree with a leading coefficient of 5, a quadratic term with a coefficient of 3, a linear term with a coefficient of -8 and a constant of six. ​

Answers

Answer:

[tex] {5x}^{4} + 3 {x}^{2} - 8x + 6[/tex]

Step-by-step explanation:

Math

The diagram shows the graph of a quadratic dinction y=f(x).
State
(a) the roots of the equation when f(x) = 0,
(b) he equation of the akis of symmetry of the curve
Pls help me​

Answers

Answer:

hodrvyeieiwb was the only one to win a lot

Answer:

the roots are x= -4 and x=6

the equation of the axis of symmetry is x^2-2x-24

Step-by-step explanation:

to find the roots you go to the area where the graph is touching the x axis because y is 0 on the x axis

to find the equation use the values of the x intercepts which are -4 and 6

(x+4)(x-6)

solve this into an equation by multiplying everything in the first brackets by every thing in the second the answer you are likely to come up with is x^2-2x-24

I hope this helps

If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets are aligned with the sun and are on the same side of the sun.) Compare Earth's new distance to that planet. How far apart would they be in standard notation? How far apart in scientific notation? Show your work.

Answers

Answer:Answer: - The Earth will be closest to Saturn. - The Earth and Saturn will be 38,800,000 miles apart in standard notation

Step-by-step explanation:

becuase the earth and saturn are pretty farr

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