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A vendor sells 50 percent of apples he had and throws away 20 percent of the remainder. Next day he sells 60 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
  • a)
    20%
  • b)
    22%
  • c)
    24%
  • d)
    26%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A vendor sells 50 percent of apples he had and throws away 20 percent ...
Let total apples be 100
first day he throws = 50*20/100 = 10 apples
next day he throws = 40*40/100 = 16 apples
so total = 26
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Most Upvoted Answer
A vendor sells 50 percent of apples he had and throws away 20 percent ...
Understanding the Problem
To find out what percent of apples the vendor throws away, let's break down the sales and waste step by step.
Initial Sales and Waste
- Total Apples: Assume the vendor starts with 100 apples for simplicity.
- First Sale:
- Sells 50% of 100 apples = 50 apples.
- Remaining Apples: 100 - 50 = 50 apples.
- First Waste:
- Throws away 20% of the remainder (50 apples) = 10 apples.
- Remaining Apples After Waste: 50 - 10 = 40 apples.
Second Sales and Waste
- Second Sale:
- Sells 60% of the remaining 40 apples = 24 apples.
- Remaining Apples: 40 - 24 = 16 apples.
- Second Waste:
- Throws away the rest (16 apples) = 16 apples.
Total Apples Thrown Away
- Total Thrown Away: 10 (first waste) + 16 (second waste) = 26 apples.
Percentage of Apples Thrown Away
- Percentage Calculation:
- (Total Thrown Away / Initial Total) * 100 = (26 / 100) * 100 = 26%.
Thus, the vendor throws away 26% of his apples.
Conclusion
- The correct answer is option 'D' - 26%.
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