Question

Find the cost price, if S.P=Rs 1,680 and profit=12%?

Answer 1

Hint: The given question is about to solve for the cost price, here the selling price is given and profit is also given. To find the cost price here we know that the profit percentage is when added to the cost price then it will give the selling price.

Complete step-by-step answer:
Here the given question is to solve for the cost price, here we know that when the profit percentage is added to the cost price then the result would be selling price, on solving we get:
\[ \Rightarrow profit\,\% = 12,\,selling\,price = Rs\,1680\]
Let us assume the cost price as=x
Now formulating into equation we get:
\[
   \Rightarrow x + \dfrac{{12x}}{{100}} = 1680 \\
   \Rightarrow 100x + 12x = 1680 \times 100 \\
   \Rightarrow 112x = 168000 \\
   \Rightarrow x = \dfrac{{168000}}{{112}} = 1500 \\
 \]
Here we get the cost price as fifteen hundred rupees.

Note: Here the given question is about cost price and selling price, in order to get anyone of them we have to remember the relation between both of the terms, here to solve for the cost price we know that profit is when added to the cost price then the selling price would obtained.