Question

The cost of making a robot is divided into cost of material, cost of repairing and cost of painting in the ratio of \[5:3:2\]. The cost used for material is \[Rs.200\]. Find the total cost of making the robot?

Answer 1

Hint: We will have to assume a common factor in order to solve the question as there are ratios given. To find the total cost of making the robot, we need to find the common factor using the information given in the question.

Complete step-by-step answer:
We are given the question that the ratio in which the cost of material, the cost of repairing and the cost of painting is divided is \[5:3:2\].
The cost used for the material is given as \[Rs.200\].
Let us now assume the common factor between the cost of material, the cost of repairing and the cost of painting to be \[k\].
According to the ratio given, the cost of the material\[ = 5k\]
The cost of the repairing\[ = 3k\]
The cost of the painting\[ = 2k\]
Therefore, on equating the cost of material, we get
\[
   \Rightarrow 5k = 200 \\
   \Rightarrow k = \dfrac{{200}}{5} \\
   \Rightarrow k = 40 \\
\]
Therefore, the common factor\[ = 40\]
Now, according to the ratio given, the cost of the material\[ = 5k = 5 \times 40 = 200\]
The cost of the repairing\[ = 3k = 3 \times 40 = 120\]
The cost of the painting\[ = 2k = 2 \times 40 = 80\]
Therefore, the total cost of making the robot
=the sum of the cost of material, the cost of repairing and the cost of painting
\[
   = Rs.(200 + 120 + 80) \\
   = Rs.400 \\
\]
Thus, the total cost of making the robot is \[Rs.400\].

Note: We need to remember that in the problems where we are given ratios , we will have to assume a common factor in order to solve the question. We equate the cost of materials as the actual cost for it is known to us.