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?

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.