Question

M.P. of a saree is Rs 1500. The shop owner allowed a 25% discount, but the customer bargained for 30%. So, the shop owner allowed 25% and 5% successive discounts. Find the difference between the discount expected by the customer and the discount given by the owner.

Answer 1

Hint: We will calculate the discount allowed by the owner. Then we will calculate the discount that the customer bargained for. Then we will calculate the successive discounts that the shop owner allowed. After that, we will calculate the difference between the discount expected by the customer and the discount given by the shop owner.

Complete step-by-step answer:
The marked price of a saree is Rs 1500. The discount allowed by the shop owner is 25% of the marked price. The discount allowed by the shop owner in Rs is calculated in the following manner,
$25\%\text{ discount = }\dfrac{25}{100}\times 1500$
Simplifying the right hand side of the above expression, we get
$25\%\text{ discount = 375}\text{ Rs}$
Now, we know that the customer bargained for a 30% discount. This discount in Rs is calculated as follows,
$30\%\text{ discount = }\dfrac{30}{100}\times 1500$
Simplifying the right hand side of the above expression, we get the amount that the customer was expecting to be discounted. We have,
$30\%\text{ discount = 450 Rs}$
The shop owner gave successive discounts of 25% and 5% on the marked price. That means, the 25% discount was given first and then the 5% discount was given on the amount left after giving the 25% discount.
The new price of the saree after giving a 25% discount is $1500-375=1125\text{ Rs}$. Now, the 5% discount is the successive discount, that means a 5% discount was given on the new price of the saree. We will calculate the 5% discount in the following manner,
$\begin{align}
  & 5\%\text{ discount = }\dfrac{5}{100}\times 1125 \\
 & \therefore 5\%\text{ discount = 56}\text{.25 Rs} \\
\end{align}$
So, the shop owner gave successive discounts of 25% and 5% which is $375+56.25=431.25\text{ Rs}$.
Therefore, the difference between the discount expected by the customer and the discount given by the owner is $450-431.25=18.75\text{ Rs}$.

Note: The key aspect in this question is the concept of percentage and the method to calculate the percentage of some number. We should be familiar with the terms such as discounts and marked price etc. It is important to understand that we are asked the difference between the discounts and not the difference between the price of the saree at which it was sold or expected to be sold.