Question

The CP of an article is 500. The
shopkeeper marks it at a certainprice and then gives a discount of 20%on it. If after the discount, he still
earns a profit of 10%, find the
MRP​

Answer 1

Step-by-step explanation:

CP=Rs 500

MP=x(let)

discount%(d%)=20%

Profit(P%)=10%

So,

SP=MP-d% of MP

=x-20% × x

=x-(20/100)x

=x-(20x/100)

=(100x-20x)/100

=80x/100

Now.

CP=(SP×100)/(100+P%)

or,500=(80x/100)×100/(100+10)

or,500=80x/110

or,500=8x/11

or,500×11=8x

or, x=(500×11)/8

or,x=(125×11)/2

or,x=687.5

Hence, MP=Rs 687.5