Advertisements
Advertisements
प्रश्न
The cost of manufacturing x articles is Rs.(50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
The profit or loss made when (a) 30 (b) 60 articles are manufactured and sold.
Advertisements
उत्तर
Given that C.P. is 50 + 3x
Table of C.P.
| X | 0 | 10 | 20 | 30 | 40 | 50 | 60 |
| C.P. | 50 | 80 | 110 | 140 | 170 | 200 | 230 |
and S.P. = 4x
∴ Table of S.P.
| X | 0 | 10 | 20 | 30 | 40 | 50 | 60 |
| S.P. | 0 | 40 | 80 | 120 | 160 | 200 | 240 |
Now plot the points on a graph and we get the following required graph:
(a)
On article 30,
C.P. = Rs.140 and S.P. = 120
Therefore Loss = 140 - 120 = Rs. 20
(b)
On article 60,
C.P.= Rs. 230 and S.P.= Rs. 240
Therefore Profit = 240 - 230 = Rs.10
APPEARS IN
संबंधित प्रश्न
The cost of manufacturing x articles is Rs. (50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
No. of articles to be manufactured and sold to break even (no profit and no loss).
Solve graphically, the following equations.
x + 2y = 4; 3x - 2y = 4.
Take 2 cm = 1 unit on each axis.
Also, find the area of the triangle formed by the lines and the x-axis.
The course of an enemy submarine, as plotted on rectangular co-ordinate axes, gives the equation 2x + 3y = 4. On the same axes, a destroyer's course is indicated by the graph x - y = 7. Use the graphical method to find the point at which the paths of the submarine and the destroyer intersect?
Solve the following equations graphically :
x+ 2y - 7 = 0
2x - y - 4 = 0
Solve the following system of linear equations graphically :
4x - 5y - 20 = 0
3x + 3y - 15 = 0
Determine the vertices of the triangle formed by the lines, represented by the above equations and the y-axis.
Draw the graph of the following equations :
3x + 2y + 6 = 0
3x + 8y - 12 = 0
Also, determine the co-ordinates of the vertices of the triangle formed by these lines and x-axis.
Solve the following system of equations graphically:
2x = 23 - 3y
5x = 20 + 8y
Also, find the area of the triangle formed by these lines and x-axis in each graph.
Solve graphically
x + y = 7, x – y = 3
Solve graphically
y = 2x + 1, y + 3x – 6 = 0
Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.
