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A fruit vendor disposed of 70% of his stock of apples. If, after this transaction, he is left with 720 apples, determine the initial quantity of apple
Question

A fruit vendor disposed of 70% of his stock of apples. If, after this transaction, he is left with 720 apples, determine the initial quantity of apples he possessed.

A.

2450

B.

2600

C.

2500

D.

2400

Correct option is D

Given:
Percentage of apples disposed = 70%
Number of apples remaining = 720
Formula Used:
Total = Remaining partRemaining percentage \frac{Remaining\ part}{Remaining\ percentage}​ × 100
Solution:
Let the initial quantity of apples be 100%.
Calculate the percentage of apples remaining:
100 - 70 = 30
This 30% of the initial stock corresponds to the 720 apples left.
Let the total initial quantity be T.
T × 30100\frac{30}{100}​ = 720
T = 720×10030 \frac{720 × 100}{30}​​
T = 24 × 100 = 2400
The initial quantity of apples was 2400.
Final Answer
So the correct answer is (d)

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