Question

The Marked price of an article is rupees 4500. After allowing some percent of discount and levying 10% VAT it is sold at 4400, find discount percentage​

Answer 1

given,

mp= 4500

now

discount amount=dis%of mp

=x%of 4500

=45x

now,

sp=mp- discount

=4500-45x

now,

vat=vat%of SP

=10%*4500-45x

=450-45x

now,

sp with vat=sp+vat amount

=4500-45x+450-45x

=4950-90x

now,

4950-90x=4400

or,-90x=-550

or, x=55/9

or, x=6.11%

therefore, dis percent is 6.11%

Answer 2

9514 1404 393

Answer:

11.11%

Explanation:

Let d represent the discount, as a fraction. Then the final price is ...

4500(1 -d)(1 +10%) = 4400

1 -d = 4400/(1.10·4500)

d = 1 - (4400/4950) = 0.111... ≈ 11.11%

The discount percentage is about 11.11%.