Question

The printed price of a refrigerator is \[{\rm{Rs}}28,600\]. A dealer allows two successive discounts of \[10\% \] and \[5\% \]. Find the price which a customer has to pay for the refrigerator.

Answer 1

Hint:
Here, we will first find the selling price after the first discount. Then, we will take the obtained selling price as the new marked price and find the discount given on it. We will then deduct the obtained discount to the selling price after first discount to find the required selling price.

Formula Used:
Discount \[ = M.P. - S.P.\]

Complete step by step solution:
The printed price of a refrigerator is \[{\rm{Rs}}28,600\].
Hence, we can say that the Marked Price of the refrigerator, \[M.P = {\rm{Rs}}28,600\]
Now, it is given that a dealer allows two successive discounts of \[10\% \] and \[5\% \] on the refrigerator.
In order to find the successive discounts first we will find the first discount, i.e. \[10\% \] of the marked price.
Thus, we get,
Discount \[ = 10\% \times 28600\]
\[ \Rightarrow \] Discount \[ = \dfrac{{10}}{{100}} \times 28600 = 2860\]
Hence, the new selling price of a refrigerator \[ = 28600 - 2860 = {\rm{Rs}}25740\]
This is because, discount is always given on the marked price and after deducting it from the marked price, we get the selling price at which a specific article has been sold.
On this new price, the seller has further given a \[5\% \] discount.
Thus, we get,
Discount \[ = 5\% \times 25740\]
\[ \Rightarrow \] Discount \[ = \dfrac{5}{{100}} \times 25740 = 1287\]
Hence, the new selling price of a refrigerator \[ = 25740 - 1287 = {\rm{Rs}}24453\]

Therefore, after getting two successive discounts, the price which a customer has to pay for the refrigerator is \[{\rm{Rs}}24,453\]
Thus, this is the required answer.

Note:
The price by which an article has been labeled is known as the Marked Price. It shows that the seller intends to sell that specific product at this price .But, usually, some discount is given on the Marked Price and it is sold finally to the customer at the Selling Price. Hence, to find the discount provided, we subtract the Selling Price from the Marked Price and hence, get the required Discount.
Now, two successive discounts do not mean that the overall discount is \[10\% + 5\% = 15\% \]
This is completely incorrect. So, we need to be careful while finding successive discounts.