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Orange Vendor Problem

The Orange Vendor Problem is as follows :

Question :

After selling 35% of the oranges, a fruit vendor has 260 oranges left. How many did he have originally ?

a). 390

b). 520

c). 400

d). 300

Solution : 

This may take like 15 seconds at max :) Ok look, he has sold 35% of his oranges and has 260 left. That means that 260 oranges is (100 – 35) = 65% of the total lot. So now if you do a simple cross multiplication, you’ll get :

Oranges                               Percentage

260                    ——                65%

?                      ——              100%

 

So cross multiplying we get

260 X 100 = 65 X x

x = (260 X 100) /65 = 400 :)

Hence the total number of oranges that the vendor originally had was 400 :)

Hence answer is (c) 400

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