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Vijay had some bananas, and he divided them into two lots A and B. He sold the first lot at the rate of Rs. 2 for 3 bananas and the second lot at the rate of Rs. 1 per banana and got a total of Rs. 400. If he had sold the first lot at the rate of Rs. 1 per banana, and the second lot at the rate of Rs. 4 for 5 bananas, his total collection would have been Rs. 460. Find the total number of bananas he had ____.

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Detailed Solution

given, let vijay had x banana in first lot and y banana in second lot
we get first equation:

\frac{2}{3} x + y = 400

2x+ 3y=1200
We get second equation, we get

x + \frac{4}{5} y = 460

5x+ 4y=2300
solving the above equation , we get
y=

200

and y=300
Total banana=x+y= Rs 500

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