Question 13

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

Solution

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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