Question

After giving a discount of 8% on the marked price an article was sold for 414 find the marked price of the article

Answer 1

Let the market price of the article is x.
Then 8% discount on market
price is =x*8/100
After discount it's price =x-x*8/100
So,
x-x*8/100=414
or,x(1-8/100)=414
or,x*92/100=414
or,x=414*100/92
or,x=41400/92
or,x=450 (ans)

Answer 2

Answer:

Required marked price is 450 rupees.

Step-by-step explanation:

Let marked price be x.

Here giving discount is 8%.

After giving discount the price is 414 rupees.

According to question,

8% discount on x = 414

$x \times \frac{100 - 8}{100} = 414$

$\frac{92x}{100} = 414$

$\frac{46x}{50} = 414$

By cross multiplication,

$46x = 414 \times 50$

$x = \frac{414 \times 50}{46}$

$x = 450$

Therefore required marked price of the article is 450 rupees.