Question

a man sell an article for rs 150 at 25% discount if he sell it with 200.what will be the discount percentage​

Answer 1

Given :

Selling price of an article : ₹150

Discount percentage : 25%

To find :

The discount percentage if sold at Rs.200.

Solution :

To find the new discount percentage of the article, first we should find the cost price of the article.

Cost price of the article :

${\sf \dashrightarrow \dfrac{100}{(100 - Discount \%)} \times SP}$

${\sf \dashrightarrow \dfrac{100}{(100 - 25)} \times 150}$

${\sf \dashrightarrow \dfrac{100}{75} \times 150}$

${\sf \dashrightarrow \dfrac{4}{3} \times 150}$

${\sf \dashrightarrow \dfrac{4 \times 150}{3} = \dfrac{600}{3}}$

${\sf \dashrightarrow \cancel \dfrac{600}{3} = 200}$

Now, let's find the new discount percentage of the article.

Discount percentage :

${\sf \dashrightarrow \dfrac{Discount}{Cost \: price} \times 100}$

${\sf \dashrightarrow \dfrac{200 - 200}{200} \times 100}$

${\sf \dashrightarrow \dfrac{0}{200} \times 100}$

${\sf \dashrightarrow \dfrac{0}{2} = 0}$

Hence, the loss percentage of the article is 0%.