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A grandfather bought a certain number of chocolates as a Diwali gift for his three grandsons. He called them and asked them to share the chocolates in the ratio of their ages, which happened to be 3 : 4 : 5, without mentioning the total number of chocolates that he bought. As the chocolates were kept in their grandfather’s room, each child arrived there at a different time of the day and took his respective share, thinking that he was the first to arrive. What fraction of the chocolates remained unclaimed at the end of the day?
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A grandfather bought a certain number of chocolates as a Diwali gift f...
Understanding the Problem
The grandfather has bought chocolates to be shared among his three grandsons in the ratio of their ages: 3:4:5. This means that if the total number of chocolates is denoted by \( x \), then:
- First grandson's share = \( \frac{3}{12}x \) (as 3 + 4 + 5 = 12)
- Second grandson's share = \( \frac{4}{12}x \)
- Third grandson's share = \( \frac{5}{12}x \)

Scenario of Arrival
Each grandson arrives at different times, believing he is the first:
- Grandson 1 arrives and takes \( \frac{3}{12}x \).
- Grandson 2 arrives later, takes \( \frac{4}{12}x \).
- Grandson 3 arrives last, takes \( \frac{5}{12}x \).

Calculating the Total Chocolates Taken
Since each grandson takes his share sequentially, we can calculate the total chocolates taken:
- Total chocolates taken = \( \frac{3}{12}x + \frac{4}{12}x + \frac{5}{12}x = \frac{12}{12}x = x \)

Chocolates Remaining
Since all chocolates are claimed by the end of the day, we can determine the fraction of chocolates remaining:
- Chocolates remaining = Total chocolates - Total chocolates taken
- Chocolates remaining = \( x - x = 0 \)

Final Conclusion
At the end of the day, the fraction of chocolates that remained unclaimed is:
- **Fraction of unclaimed chocolates = 0**
Thus, there are no chocolates left unclaimed after all three grandsons have taken their shares.
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A grandfather bought a certain number of chocolates as a Diwali gift for his three grandsons. He called them and asked them to share the chocolates in the ratio of their ages, which happened to be 3 : 4 : 5, without mentioning the total number of chocolates that he bought. As the chocolates were kept in their grandfather’s room, each child arrived there at a different time of the day and took his respective share, thinking that he was the first to arrive. What fraction of the chocolates remained unclaimed at the end of the day?
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A grandfather bought a certain number of chocolates as a Diwali gift for his three grandsons. He called them and asked them to share the chocolates in the ratio of their ages, which happened to be 3 : 4 : 5, without mentioning the total number of chocolates that he bought. As the chocolates were kept in their grandfather’s room, each child arrived there at a different time of the day and took his respective share, thinking that he was the first to arrive. What fraction of the chocolates remained unclaimed at the end of the day? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A grandfather bought a certain number of chocolates as a Diwali gift for his three grandsons. He called them and asked them to share the chocolates in the ratio of their ages, which happened to be 3 : 4 : 5, without mentioning the total number of chocolates that he bought. As the chocolates were kept in their grandfather’s room, each child arrived there at a different time of the day and took his respective share, thinking that he was the first to arrive. What fraction of the chocolates remained unclaimed at the end of the day? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A grandfather bought a certain number of chocolates as a Diwali gift for his three grandsons. He called them and asked them to share the chocolates in the ratio of their ages, which happened to be 3 : 4 : 5, without mentioning the total number of chocolates that he bought. As the chocolates were kept in their grandfather’s room, each child arrived there at a different time of the day and took his respective share, thinking that he was the first to arrive. What fraction of the chocolates remained unclaimed at the end of the day?.
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