Terry has some oranges. Out of that, 4% were thrown away, 80% of the remaining oranges were sold and he is now left with 96 oranges. What was the initial number of oranges with him?
A) 100
B) 200
C) 300
D) 350
E) 400
Solution: This is a Percentages question. Let us take variable X as the total number of initial oranges with Terry.
Oranges thrown away: 4%*X
Remaining oranges: 96%*X
Oranges sold: 80%*96%*X
Total oranges left: 96 oranges
The equation for total number of oranges is therefore,
X – (4%*X + 80%*96%*X) = 96
=> X – (0.04X + 0.8*0.96*X) = 96
=> X - 0.77X = 96
=> 0.23X = 96
=> X = 300
Correct Answer: C
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