SOLUTION: A trader sold an article at a discount of 8% for GH¢828.If the article was initially marked to gain 25%. Find the (i) cost price of the article (ii) discount allowed

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A trader sold an article at a discount of 8% for GH¢828.If the article was initially marked to gain 25%. Find the (i) cost price of the article (ii) discount allowed      Log On


   

Question 1120818: A trader sold an article at a discount of 8% for GH¢828.If the article was initially marked to gain 25%. Find the
(i) cost price of the article
(ii) discount allowed
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
828/0.92 = 900
900*0.75 = 675 is the cost of the article
You can easily calculate the discount allowed

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A trader sold an article at a discount of 8% for GH¢828.If the article was initially marked to gain 25%. Find the
(i) cost price of the article
(ii) discount allowed
Sold at a discount of 8% results in: matrix%281%2C3%2C+.92%2F1%2C+%22=%22%2C+828%2FP%29, with P being the price before discount.

You should get: P = 900

With the MARKED price being 900, and with the marked price set to gain 25%, we get: matrix%281%2C3%2C+1.25%2F1%2C+%22=%22%2C+900%2FC%29, with C being the cost price

Solving for C, you should get a highlight_green%28matrix%281%2C4%2C+cost%2C+of%2C+720%2C+%22%28i%29%22%29%29

You have the MARKED price and the sale price, so you should be able to calculate the discount.