Question

A book store offers a \[10\% \] discount on all the books sold plus an additional discount of \[5\% \] on the total bill, if the total bill after the initial discount is more than or equal to Rs.\[1000\]. Dilshan bought \[3\] books worth Rs.\[450\], Rs.\[520\] and Rs.\[250\] respectively. How much money was Dilshan able to save as a result of the various discounts offered by the store?​

Answer 1

Hint: In this question we are going to find the discount Dilshan got in his purchase and how much he is saved by this offer. To find the amount Dilshan saved, calculate the discount amount he obtained. Here discounts are given in the form of \[\% \], by converting it into a fraction we will get the discount he gets. Then at least subtracting the total amount from the discount we will find the money saved by Dilshan.

Complete step by step solution:
In this problem,
We are given that,
Dilshan bought \[3\] books worth Rs. \[450\], Rs.\[520\] and Rs.\[250\] respectively.
A book store offers a \[10\% \] discount on all the books sold.
Additional discount of \[5\% \] on the total bill, if the total bill after the initial discount is more than or equal to Rs.\[1000\].
Let’s calculate the total price of the books Dilshan bought \[ = 450 + 520 + 250\]
Total amount would be Rs. \[1220\].
Discount offered for all books is \[10\% \].
Let’s apply this on the total amount,
Discount \[ = \dfrac{{10}}{{100}} \times 1220\]
The zeroes will get cancel then the result will be \[\dfrac{1}{1} \times 122\]
Any number multiplied by \[1\] will be the number itself.
Therefore, the \[10\% \] discount on the total amount is Rs. \[122\].
Subtracting the discount amount from total \[ = 1220 - 122\]
 \[ = 1098\].
The total amount after initial discount \[10\% \] is Rs. \[1098\].
Now as per the additional discount of \[5\% \] on the total bill, the total bill after the initial discount is more than Rs.\[1000\], that is, Rs. \[1098\].
Now applying \[5\% \] discount,
Discount \[ = \dfrac{5}{{100}} \times 1098\]
By solving this, the discount amount \[ = 54.90\].
Subtracting the discount amount from total \[ = 1098 - 54.90\]
 \[ = 1043.10\].
Total amount after the additional discount \[5\% \] is Rs. \[1043.10\].
Hence, total amount Dilshan was able to save
$ = $Total amount before discounts $ - $ Total amount after discount
\[ = {\text{List price}} - {\text{selling price}}\]
\[ = 1220 - 1043.10\]
\[ = 176.90\].
Therefore, the total amount Dilshan was able to save is Rs. \[176.90\].
So, the correct answer is “Rs = 176.90”.

Note: Discount is a kind of reduction or deduction in the cost price of a product.
If the discount is given in percentage, to find how much we get reduction on our purchase then, \[{\text{Discount}} = \dfrac{{{\text{discount}}\% }}{{{\text{100}}}} \times {\text{purchase amount}}\].