a man sells an article at a profit of 25%.if he had bought it at 20% less and sold it for the amount 10.50 less,he would have gained 30%.find the cost price of article?
Hello,
Let X be the cost price of the article, and let Y be the price he sells the article the first time.
1st sentence
Making a profit of 25% is like selling it to 1.25 times the cost price.
So $\displaystyle \boxed{Y=1.25 ~X}$
2nd sentence
If he had bought it 20% less, it means that the cost price becomes $\displaystyle 0.80 ~X$
If he sells it for the amount 10.50 less, this means that he sells it at the price $\displaystyle Y-10.50$
While doing this, he makes a profit of 30%. So reasoning just as before, we get :
$\displaystyle \boxed{(0.80 ~\cdot X) ~\cdot 1.30=Y-10.50}$
Now, solve for X