Question

At a clearance sale, all goods are on the sale at a 35% discount. If I buy a dress marked Rs. 800, how much would I need to pay?
(a) Rs. 250
(b) Rs. 350
(c) Rs. 520
(d) Rs. 600

Answer 1

Hint: We are given the cost price of the dress and we have given the discount. Therefore the formula for finding the discount price is as follows, $\text{Discount = percentage }\!\!\times\!\!\text{ costprice}$ . The new price of the dress is given by the new price of dress = cost price – discount.

Complete step-by-step answer:
In this problem, it is given that there is a sale of a 35% discount. And we need to find the cost of a dress which is originally priced at Rs. 800.
Hence, the cost price of the dress is Rs. 800
There is a discount of 35 %, so the formula for discount price =$\dfrac{35}{100}\times \text{cost price}$ .
By substituting the values, we get,
Discount price = $\dfrac{35}{100}\times 800=\,\text{Rs}\text{.}\,280..............(i)$
We need to subtract the discount price from the original price to find the new price of the dress
Therefore, the new price of the dress = cost price – discount price.
Substituting the values from (i) we get,
New price of dress = 800 – 280 = Rs. 520
Therefore, the cost of the dress after the discount is Rs. 520.
Hence, the correct option is (c).

Note: The common mistake that is done is students tend to write Rs. 280 as the new price. But it is the discount that is to be subtracted from the cost price. As we can see that discount is less than 50% so the final price will be more than half of Rs. 800 that is the answer will be more than Rs. 400. This eliminates the option (a) and (b).