After allowing 20% discount on a marked price 13% VAT was levied on an article. If it was sold for 7232 dollars, what was the marked price of the article?

The marked price of the article was $7865

solution given:

let marked price be x=?

discount =20%

vat=13%

selling price =$7232

we have

discount amount=discount % of marked price=20/100*x=0.2 x

and

vat amount = vat% of selling price=13/100*$7232=$940.16

we have

Selling price with tax  =marked price - discount amount + vat amount

$7232=x-0.2x+$940.16

$7232-$940.16=x-0.2x

0.8x=$6291.84

x=$6291.84/0.8

x=$7864.8

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.