Question

by selling an article for rupees 240 a man makes a profit of 20% what is his cost price what would his profit percent be if he sold the articles for rupees 275

Answer 1

240 -- 120% (100%+20%profit)
so 240÷ 120= 2
cost price= 100×2= 200
profit Rs 40

if he sell at 275
then profit rs 75
means 75÷2=37.5
37.5% profit

hope it will help u

Answer 2

SP,Selling price of the article=₹240
Profit %=20%
Profit %=[(SP-CP)/CP]×100
20=[(240-CP)/CP]×100
20=(24000-100CP)/CP
20CP=24000-100CP
⇒20CP+100CP=24000⇒120CP=24000⇒CP=24000/120
=₹200
If SP=₹275,Then profit=SP-CP=₹(275-200)=₹75
profit%=(75/200)×100=37.5%
Hence,CP of the article=₹200,profit%=37.5%