SOLUTION: A man bought 200 books. He sold 80 of them at a profit of 15% and the remaining at a profit of 50%. He realized Rs.27200 in total. What was his cost of books? 1; 18,000 2; 22,000

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Question 971283: A man bought 200 books. He sold 80 of them at a profit of 15% and the remaining at a profit of 50%. He realized Rs.27200 in total. What was his cost of books?
1; 18,000
2; 22,000
3; 20,000
4; 24,000

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = the cost of the 200 books
+c%2F200+ = the cost of each book
-----------------
+80%2A%28+c%2F200+%29+ = the cost of the 80
books that he sold
------------------
+1.15%2A%28+80%2A%28+c%2F200+%29%29+ = his selling
price of the 80 books
---------------------
+1.5%2A%28+120%2A%28+c%2F200+%29%29+ = his selling
price of the remaining books
---------------------
I can say:
+1.15%2A%28+80%2A%28+c%2F200+%29%29+%2B+1.5%2A%28+120%2A%28+c%2F200+%29%29+=+27200+
+1.15%2A.4c+%2B+1.5%2A.6c+=+27200+
+.46c+%2B+.9c+=+27200+
+1.36c+=+27200+
+c+=+20000+
answer is (3)