A shopkeeper buys oranges at 5 for a rupee and an equal number of them at 6 for a rupee and sold the whole lot at the rate of 4 for a rupee. Find his gain percent?

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A shopkeeper buys oranges at 5 for a rupee and an equal number of them at 6 for a rupee and sold the whole lot at the rate of 4 for a rupee. Find his gain percent?

His gain is 75%.

@ 5 for a rupee let us say he bought x oranges Cost = x/5 Rs.

@ 6 for a rupee he has bought x oranges Cost = x/6Rs

So total oranges = 2x total cost = x/5 + x/6 = 11x/30

so profit = 2x/4 -11x/30

= x/2 – 11x/30

15x- 11x = 4x/30 = 2x/15

gain percent = 2x/15 divided by 11x/30 multiplied by 100

2x/15 X 30/11x X 100

= 400/11 = 36.36%