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marysya [2.9K]
3 years ago
15

a shopkeeper bought two watches for rs 400.he sold them to gain 5% profit on one and another at 5% loss on other.calculate his f

inal loss or profit percent .if the sp of both watches are same​
Mathematics
1 answer:
jekas [21]3 years ago
8 0

Answer:

0.25 % loss.

Step-by-step explanation:

Let the cost of 1 watch be  rs x then the cost of the other is rs 400 - x.

Let the sp be rs y.

So we have:

y = x + 0.05x

y = (400 - x) - 0.05(400 - x)

y =  400 - x - 20 + 0.05x

y = 380 - 0.95x

So  x + 0.05x = 380 - 0.95x

2x = 380

x = 190.

and y = 190 + 0.05*190 = 199.5.

So the total selling price = 2 * 199.5 = rs 399

So final loss is [ (400-399)/ 400] * 100

= 0.25 %.

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3 years ago
What is the positive slope of the asymptote of (y+11)^2/100-(x-6)^2/4=1? The positive slope of the asymptote is .
VladimirAG [237]

Answer:

the  positive slope of the asymptote = 5

Step-by-step explanation:

Given that:

\frac{(y+11)^2}{100} -\frac{(x-6)^2}{4} =1

Using the standard form of the equation:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}= 1

where:

(h,k) are the center of the hyperbola.

and the y term is in front of the x term  indicating that the  hyperbola opens up and down.

a = distance that indicates  how far above and below of the center the vertices of the hyperbola are.

For the above standard equation; the equation for the asymptote is:

y = \pm \frac{a}{b} (x-h)+k

where;

\frac{a}{b} is the slope

From above;

(h,k) = 11, 100

a^2 = 100

a = \sqrt{100}

a = 10

b^2 =4

b = \sqrt{4}

b = 2

y = \pm \frac{10}{2} (x-11)+2

y = \pm 5 (x-11)+2

y = 5x-53 , -5x -57

Since we are to find the positive slope of the asymptote: we have  

\frac{a}{b} to be  the slope in the equation  y = \pm \frac{10}{2} (y-11)+2

\frac{a}{b}  = \frac{10}{2}

\frac{a}{b}  = 5

Thus, the  positive slope of the asymptote = 5

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3 years ago
If w/x=3, what does x/w equal
ruslelena [56]

Answer:

The value of x/w is 1/3.

Step-by-step explanation:

Consider the provided expression w/x=3

We need to find the value of x/w.

\frac{w}{x}=3

Now multiply both the sides by x.

\frac{w}{x}\times x=3x

w=3x

Now divide both the sides by w.

\frac{w}{w}=\frac{3x}{w}

1=\frac{3x}{w}

Divide both the sides by 3.

\frac{1}{3}=\frac{3x}{w}\times \frac{1}{3}

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8 0
3 years ago
What's 2 + 2 in a mathematical sense
Setler [38]

In a mathematical sense..

Not to make it too complicated, however, here's where we get on to the real mathematics.

There are infinite equations for 2 + 2. The gap between any number can be infinite if you keep giving it more numerical content. However, solving 2 + 2 can be very tricky.

1 + 1 + 1 + 1 = 4. Easy, right? Wrong. We can deduct from this equation that 1 + 1 = 2, so if we do 1 + 1 PLUS 1 + 1, (1 + 1 + 1 + 1 again), that equals four, because 1 + 1 is 2 and if we add another 1 to 2, 1 + 2, it equals 3, so 1 + 3 = 4. I'd like to remind you-- this works both ways, whether or not it's 3 + 1 or 1 + 3, it equals 4. If we carry the 1 from the three and put it in a separate number in an equation, said equation is now 1 + 1 + 2. It still equals 4, because 1 + 1 = 2 and if you take 2 and put it in 1 + 1's place, it's 2 + 2.

2 + 2 = 4.

(this was a joke answer, don't take anything said in this answer seriously.. OR you can if you want, because it's all true.. 2 + 2 = 4.)

Hope this helped!

- William.

4 0
3 years ago
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