Question

A geometry box is marked for Rs. 325. If the rate of tax is $12\%$, find the amount a customer has to pay for it.

Answer 1

Hint: Here we will first find the $12\%$ of Rs. 325 and then add this amount with the marked price, that is, Rs. 325 in order to get the final price that the customer has to pay for the geometry box. That is, the cost price of the geometry box will be, Rs. $325 + 12\%$ of Rs. 325.

Complete step-by-step solution:
It is given in the question that a geometry box is marked for Rs. 325. And if the rate of tax is 12%, then we have been asked to find the amount a customer has to pay for it.
So, we have been given the marked price as Rs. 325. And the rate of tax is given as $12\%$. So we can find the tax price as,
$12\%$ of Rs. 325
$\begin{align}
  & \dfrac{12}{100}\times 325 \\
 & =\dfrac{12\times 325}{100} \\
 & =39 \\
\end{align}$
So, the tax price for the geometry box will be Rs. 39.
Now, we know that the customer has to pay tax while purchasing the product, so it means that the customer has to pay a total of (the marked price + the tax price) for purchasing the geometry box.
Hence, we get the cost price of the geometry box for the customer as,
Marked price + Tax price
We know that the marked price is Rs. 325 and the tax price is Rs. 39. So, we get the cost price as,
$Rs. 325 + Rs. 39$
$= Rs. 364$
Therefore, the customer has to pay Rs. 364 for purchasing the geometry box.

Note: Most of the students make mistakes in the last step and they subtract the tax price from the marked price thinking that, the marked price includes the tax price and the cost price, but this is wrong. We are supposed to add the tax price with the marked price, to get the correct answer.