Question
Mon November 19, 2012 By: Rajarshi Basu

A Shopkeeper buys a no. of bananas for Rs 600.If he had bought 10 dozens more bananas for the same ammount, each dozen would have cost him Rs 2 less. find the no. of bananas bought by him?

Expert Reply
Tue November 20, 2012
Let x dozen of bananas are bought by the shopkeeper.
Cost of x banans = 600
Cost of 1 banana = 600/ x
 
According to the given information, we have:
600/x - 600/ 10+x = 2
Simplifying, we get,
x2 + 10x - 3000 = 0
(x - 50)(x + 60) = 0
x = 50 or -60
Neglecting the negative value, we get x = 60.

Thus, 50 dozens of bananas were bought by the shopkeeper.
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