Question

a cloth trader gains a profit of rs 20 after giving the buyers a discount of 20% on the marked price of a shirt. however, on giving, the buyers a discount of 16%, the trader gains a profit of rs 30. what is the marked price of the shirt?

Answer 1

let x be the marked price and y the cost price.

mp-discount-cp=profit

x-x×20/100-y=20
x-x×16/100-y=30
from eq1, y=0.8x-20
substituting y in eq2

0.84x-0.8x=10
0.04x=10
x=250
marked price=250