Raj goes to market to buy oranges. If he can bargain and reduce the price per orange by Rs.2, he can buy 30 oranges instead of 20 oranges with the money he has. How much money does he have ?

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Rs.100

Rs.50

Rs.150

Rs.120

Explanation:

Let x be the price of the orange.
We can write that 20x is the money that he has with him.
If the price of orange is reduced by 2 rupees, he can buy 30 of them.
That means we can write:
30(x-2) = 20x
30x - 60 = 20x
30x - 20x = 60
10x = 60
x = 6
So, he has 120 rupees (20x) and can buy 30 if the price becomes 4 per orange. The solution checks out.

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