Question

how much percent above the cost price should a dealer mark his goods so that after allowing a discount of 26% on the marked price he gains 20 % ?​

Answer 1

Step-by-step explanation:

let the cost price be RS.100

gain=20%

s.p=c.p*(1+gain%/100)

=100*(1+20/100)

=100*(100+20/100)

=100*120/100

=RS.120

let the marked price be x

discount=25%ofx

=25/100*x

=x/4

s.p=marked price-discount

RS.120=x-x/4

RS.120=3x/4

x=RS.(120*4/3)

x=RS.160

therefore,the marked price =RS.160

hence,the marked price is 60% above the cost price.