Question

The manufacturing cost of 10 articles is Rs.150. The tax on each article is 6% of the manufacturing cost. Transportation cost comes to Re.1 per article. By what percent is the total cost more than the manufacturing cost?

Answer 1

Hint: We are provided with a manufacturing cost of 10 articles, from this we can find the manufacturing cost per particle. Then we can find the tax which is 6% of the manufacturing cost. Add this to the manufacturing cost along with the transportation cost. Now we get the total cost per article. We can take the difference in total cost incurred and the manufacturing cost and divide it by manufacturing costs to get the required percentage.

Complete step by step solution: t is given that cost of 10 articles is Rs. 150. That means the cost of 1 article is $\dfrac{{{\text{150}}}}{{{\text{10}}}}{\text{ = Rs}}{\text{.15}}$
Now we can calculate the tax per article. It is given that there is 6% tax per article. The tax per article is given by,
${\text{tax = 15}} \times\dfrac{{\text{6}}}{{{\text{100}}}}{\text{ = Rs}}{\text{. 0}}{\text{.9}}$
The transportation cost per article is given as Re. 1.
Therefore, the total cost per article can be calculated by adding the manufacturing cost, tax, and transportation cost. It is given by,
$
  {\text{Total cost = 15 + 0}}{\text{.9 + 1}} \\
  {\text{Total cost = Rs}}{\text{. 16}}{\text{.9}} \\
  $
The percentage can be calculated as follows,
\[
  {\text{ = }}\dfrac{{{\text{16}}{\text{.9 - 15}}}}{{{\text{15}}}}{ \times\text{ 100% }} \\
  {\text{ = }}\dfrac{{{\text{1}}{\text{.9}}}}{{{\text{15}}}}{ \times \text{100% }} \\
  {\text{ = 12}}{\text{.66% }} \\
  \]
Therefore, the required answer is \[12.66\;% \]

Note: Alternative method for doing this problem is by calculating the total cost for 10 articles and find the required percentage. As we are dealing with percentages, it is always the same for one article, 10 articles, or any number of articles. While calculating the percentage, the difference in the cost must be divided with the manufacturing cost, not with the total cost.