Solving a Quadratic Equation by Factorization Method
A man bought ...
Question
A man bought a certain number of toys for RS 180 ,he kept one for his own use and sold rest of it for one rupee each more than he gave for them , besides getting his own toy for nothing he made a profit of RS 10. Find no of toys.
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Solution
Let the number of toys = x Cost of each toy = 180/x Rs. Now no. of toys sold = x-1 and selling price of each = (180/x)+1 He sold the toys for (x-1){(180/x)+1)Rs. His profit is 10 Rs. (x-1){(180/x)+1}-180 = 10 solve x= 20 and -9 rejecting -9 20 toys were bought