
A notebook is marked at Rs. 30. Find the price a student pays for a dozen notebooks if he gets a 15% discount.
Answer
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Hint: It is given that the list price of a notebook is Rs. 30 and a discount of 15% is given, means that the discount amount is equal to 15% of 30. So, for finding the selling price of each notebook subtract 15% of list price from the listed price. Once you get the selling price of each notebook, multiply it by 12 (as each dozen consists of 12 objects) to get the amount students have to pay for 12 notebooks.
Complete step-by-step answer:
Let us start the solution to the above question by finding the amount of discount given. It is given that the discount given is 15% of the list price.
$ \text{discounted amount}=15\%\text{ of list price}=15\%\text{ of 30} $
$ \Rightarrow \text{discounted amount}=\dfrac{15}{100}\times 30=\text{Rs}\text{. 4}\text{.5} $
Now we know that if we subtract the discount amount from the list price it will give the selling price. Also, it is given that the list price is Rs. 30 and discount amount is Rs. 44.
$ \therefore \text{Selling price}=\text{list price}-\text{discount amount}=30-4.5=\text{Rs}\text{. 25}\text{.5} $
So, the selling price of each notebook is Rs. 25.5.
Now it is given that the student bought a dozen of notebooks and we know that a dozen of notebooks means 12 notebooks. So, we will multiply the selling price of each notebook by 12 to get the amount that student has to pay.
$ \text{Amount student have to pay}=12\times 25.5=Rs.\text{ }306 $
Therefore, we can conclude that the amount students have to pay is Rs. 306.
Note: Remember that the list price is the price for which the product would have been sold if there was no discount given, so don’t confuse it with the cost price of the product. Also, if you want you can find the cost of 12 notebooks according to list price and finally subtract 15% of the total list price of the 12 notebooks from itself to get the answer.
Complete step-by-step answer:
Let us start the solution to the above question by finding the amount of discount given. It is given that the discount given is 15% of the list price.
$ \text{discounted amount}=15\%\text{ of list price}=15\%\text{ of 30} $
$ \Rightarrow \text{discounted amount}=\dfrac{15}{100}\times 30=\text{Rs}\text{. 4}\text{.5} $
Now we know that if we subtract the discount amount from the list price it will give the selling price. Also, it is given that the list price is Rs. 30 and discount amount is Rs. 44.
$ \therefore \text{Selling price}=\text{list price}-\text{discount amount}=30-4.5=\text{Rs}\text{. 25}\text{.5} $
So, the selling price of each notebook is Rs. 25.5.
Now it is given that the student bought a dozen of notebooks and we know that a dozen of notebooks means 12 notebooks. So, we will multiply the selling price of each notebook by 12 to get the amount that student has to pay.
$ \text{Amount student have to pay}=12\times 25.5=Rs.\text{ }306 $
Therefore, we can conclude that the amount students have to pay is Rs. 306.
Note: Remember that the list price is the price for which the product would have been sold if there was no discount given, so don’t confuse it with the cost price of the product. Also, if you want you can find the cost of 12 notebooks according to list price and finally subtract 15% of the total list price of the 12 notebooks from itself to get the answer.
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