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Terry has some oranges. Out of that, 4% were thrown away

GMAT Orange Percentage ProblemTerry 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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or

Gyan OneGyanOne is an educational services firm focused on premium GMAT coaching, application advisory (with a focus on ISB applications), and interview preparation for B-school admissions. GyanOne operates in the New Delhi region of India and has top global B-school alumni with a minimum score of 770 on the GMAT, as instructors. All GyanOne counsellors are professionally trained top B-school alumni with an experience of 100+ MBA applications behind them.

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