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
2nd sentence
If he had bought it 20% less, it means that the cost price becomes
If he sells it for the amount 10.50 less, this means that he sells it at the price
While doing this, he makes a profit of 30%. So reasoning just as before, we get :
Now, solve for X