Question

A vacuum cleaner set costs 154.25 k. Additional pipe costs 15.2 k. What is the total cost of 3 vacuum cleaner sets and 5 additional pipes?
$
  {\text{A}}{\text{. 400k}} \\
  {\text{B}}{\text{. 530}}{\text{.75k}} \\
  {\text{C}}{\text{. 538}}{\text{.75k}} \\
  {\text{D}}{\text{. 600k}} \\
$

Answer 1

Hint: In order to find the total cost of 3 sets and 5 pipes, we take the cost of a single vacuum cleaner set and an additional pipe and calculate the cost of 3 vacuum sets and 5 additional pipes individually and find their sum to obtain the answer.

Complete step-by-step answer:
Given Data,
Cost of one vacuum cleaner set = 154.25 k
Cost of one additional pipe = 15.2 k

To find,
Cost of 3 vacuum cleaner sets and 5 additional pipes.

The cost of 3 vacuum cleaner sets is:
Given cost of vacuum cleaner per set = 154.25 k
Hence the cost of 3 vacuum cleaner sets = 154.25 × 3 = 462.75 k

The cost of 5 additional pipes is:
Given cost of a single additional pipe = 15.2 k
Hence the cost of 5 additional pipes = 15.2 × 5 = 76 k

Now the total cost = cost of 3 vacuum cleaner sets + cost of 5 additional pipes
⟹462.75 k + 76 k = 538.75 k

Therefore the total cost of 3 vacuum cleaner sets and 5 additional pipes is 538.75 k
Option C is the correct answer.

Note: In order to solve this type of question the key is to determine the cost of an object for a single item. Then using that we can determine the cost of any number of items.
Here the costs of one single vacuum cleaner and a pipe respectively are already given, which is why we directly multiplied the quantity to the individual costs to get the answer.
There was no need for any currency conversion because the units of money were not given here. The letter k after a number refers to the value 1000. Example: 1k essentially means 1000.