A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?
1 answer:
You might be interested in
a) 62.855m
We will need to use the Pythagorean Theorem here, as we know a and c, but not b. I have attached an image of a triangle sketch to set up the problem, which should hopefully help us to visualize this problem a bit better.
Pythagorean Theorem: a^2 + b^2 = c^2
(19.8)^2 + b^2 = (65.9)^2
392.04 + b^2 = 4342.81
b^2 = 3950.77
b = 62.855 (rounded to 3 places)
b) m = 0.315
The gradient is also known as the slope. I've shown what the points would be in the image attached. Now that we know the value of b (x in the points in image), we can use points E and C to find the slope.
Point 1: (0,0)
Point 2: (62.855, 19.8)
m = (19.8 - 0) / (62.855 - 0)
m = 19.8 / 62.855
m = 0.315 (rounded to three places)
c) 17.485 degrees
The angle of inclination would be angle C. To find angle C, we will need to use an inverse trigonometry function. Any can be used since we know all of the side lengths, but I will show Sine here, opposite / hypotenuse.
sin(x) = 19.8 / 65.9
x = sin^-1 (19.8/65.9)
x = 17.485 degrees (rounded to 3 places)
Hope this helps!! :)
Question is Incomplete; Complete question is given below;
Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.
Answer:
The system of equations are
The reasonable price for pair of pants is $20.
Step-by-step explanation:
Let the price of shirt be 'x'.
Let price of pair of pants be 'y'.
Given:
Olivia purchased 8 shirts 4 pairs of pants for $176
So we can say that;
8 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 176.
framing in equation form we get;
Also Given:
Raheem purchased 3 shirts and 4 pairs of pants for 116.
So we can say that;
3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.
framing in equation form we get;
Hence the system of equation are
Now by using elimination method we will subtract equation 2 from equation 1 we get;
Now Substituting the value of x in equation 1 we get;
Hence The reasonable price for pair of pants is $20.