SOLUTION: A boy bought 200 books .he sold 80 of books at a profit 15% and the remaining ones at a profit of 50% he realized rs.27200 in total .what was his cost of books?

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Question 1195052: A boy bought 200 books .he sold 80 of books at a profit 15% and the remaining ones at a profit of 50% he realized rs.27200 in total .what was his cost of books?
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A boy bought 200 books .he sold 80 of books at a profit 15% and the remaining ones at a profit of 50% he realized rs.27200 in total .what was his cost of books?
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C = cost
80*(C*1.15) + 120*(C*1.5) = 27200
92C + 180C = 27200
272C = 27200
etc
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Mathtutor's answer and mine are the same.
Mine shows 100 per book ---> 20000.

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

A boy bought 200 books .he sold 80 of books at a profit 15% and the remaining ones at a profit of 50% he realized rs.27200 in total .what was his cost of books?
Let cost of the 200 books be C
Then cost of each book = 
With 80 books being sold at a 15% profit, we get the selling price of those 80 books as: 

With 120 (200 - 80) books being sold at a 50% profit, we get the selling price of those 120 books as: 
As the total profit was RS 27,200, we get: .46C + .9C = 27,200
                                                1.36C = 27,200
                         Cost of the 200 books, or 
You can do the check!!

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