1. ## find cost price

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?

2. Hello,

Originally Posted by hena
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?
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 $\boxed{Y=1.25 ~X}$

2nd sentence
If he had bought it 20% less, it means that the cost price becomes $0.80 ~X$
If he sells it for the amount 10.50 less, this means that he sells it at the price $Y-10.50$

While doing this, he makes a profit of 30%. So reasoning just as before, we get :

$\boxed{(0.80 ~\cdot X) ~\cdot 1.30=Y-10.50}$

Now, solve for X

3. ## plz help

am not getting aproper value of x...
plz help me out..
the option they gave me is
55,45,50,60

4. Originally Posted by hena
am not getting aproper value of x...
plz help me out..
the option they gave me is
55,45,50,60
Well, I get 50...

$Y=1.25 X$

Substituting in $(0.80 ~\cdot X) ~\cdot 1.30=Y-10.50$ :

$(0.80 ~\cdot X) ~\cdot 1.30=1.25 X-10.50$

0.8*1.3=1.04

$1.04 X=1.25 X-10.50$

$0.21 X=10.50$