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A fruit vendor has certain oranges with him. He sells each orange for Rs.5. Three customers A, B, C successively bought 25%, $$33\frac{1}{3}$$, 50% of the oranges that are left over with the vendor each time. Later a fourth customer D bought 4 oranges. If A and D together paid Rs.140/- to the vendor, then the percentage of oranges left with the vendor is
Let say ,he had x number of oranges initially.
A bought 0.25x.
he left with 0.75x.
B bought (1/3)0.75x.
he left with (2/3)0.75x.
C bought (1/2)(2/3)0.75x.
he left with (1/2)(2/3)0.75x.
D bought 4 oranges.
So, finally he left with ((1/2)(2/3)0.75x-4).
According to question :
(0.25x)×5+4×5=140.
or,x=96.
So,he will be left with=((1/2)(2/3)0.75×96-4)
=20.
So, percentage would be=20/96=20.833%.
C is correct choice.
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