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?

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- May 23rd 2008, 08:42 PMneha1find 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?

- May 23rd 2008, 10:59 PMMoo
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 :) - May 25th 2008, 08:19 AMneha1plz help
am not getting aproper value of x...

plz help me out..

the option they gave me is

55,45,50,60 - May 25th 2008, 08:23 AMMoo