Question

Sunder purchased an office bag with a price tag of Rs. 600 in a sale where a 25% discount was being offered on the tag price. He was given a further discount of 10% on the amount arrived at after giving the usual 25% discount. What was the final amount paid by Sunder?

Answer 1

Hint: First, find the discounted price offered on the bag. After that, deduct the discounted price from the tag price to find the new cost price of the bag. Then find the additional discounted amount. Now, subtract the additional discounted amount from the new cost price of the bag. The amount will be what Sunder will pay for the bag.

Complete step-by-step answer:
Given: - Price tag = Rs. 600.
Discount offered on the bag = 25%
Additional discount = 10%.
Let the final amount paid by Sunder be Rs $x$.
The discounted amount of the bag is,
$ \Rightarrow \dfrac{{25}}{{100}} \times 600$
Cancel out the common factor and multiply the remaining terms,
$ \Rightarrow $Rs. 150
The new cost of the bag after deducting the discount amount from the price tag is,
$ \Rightarrow 600 - 150 = 450$
The additional discounted amount will be,
$ \Rightarrow \dfrac{{10}}{{100}} \times 450$
Cancel out the common factor and multiply the remaining terms,
$ \Rightarrow $Rs. 45
Now, deduct the additional amount to get the final amount,
$ \Rightarrow x = 450 - 45$
Subtract the value on the right side,
$\therefore x = 405$

Hence, the final amount paid by Sunder is Rs. 405.

Note: Marked Price of the commodity – the price of the commodity set up by the seller based on market standards.
Selling Price of the commodity – the price of the commodity at which it has been sold to the consumer.
Discount = Marked price of the commodity – selling price of the commodity
When the selling price of the commodity is less than the market price of the commodity, then the consumer is said to have gotten the discount on the specific commodity that he has purchased.