Question

In order to maintain the price line , a trader allows a discount of 10% on the marked price of goods in his shop . however ,he still makes a gross profit of 17% on the cost price .Find the profit percent he would have made on the selling price had he sold at the marked price ?

Answer 1

let the CP be 100

gain% =17%

gain = gain %/100 *100

      =17/100*100

gain=17

Sp-Cp=gain

sp-100=17

SP=17+100

SP=117

discount= 10% of MP

let MP be x

10/100x=1/10x

discount =1/10x

SP=MP-discount

117=x-1x/10

10x/10 - 1x/10=117

9x/10=117

9x=117*10

x=1170/9

x=MP=130

MP-CP=difference between both

130-100= 30

convert the difference into percent

difference/CP*100

30/100*100

30%

therefore, the MP is 30% above the CP.

Answer 2

ans is 30%  . let us suppose c.p.=100  so after discount he sold at 117 so that he gets 17% profit

now let us suppose x is the marked price so as per question

x-x/10=117=>x=130

 

now without discount profit would have been (130-100)*100/100=30%