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In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50kg.If the mean weight of all the students taken together is 60kg, then the ratio of the number of boys to that of the girls is
  • a)
    2 : 1
  • b)
    3 : 2
  • c)
    1 : 2
  • d)
    2 : 3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a group of students, mean weight of boys is 80 kg and mean weight o...
To solve this, let the number of boys be b and the number of girls be g.
Step 1: Use the formula for the combined mean
The formula for the mean of a combined group is:

Given: Mean weight of boys =  80kg,
Mean weight of girls =  50kg,
Combined mean = 60kg.
The total weight of boys is 80b, and the total weight of girls is  50g. The total number of students is  b+g. Substituting these into the formula:

Step 2: Solve for the ratio b/g
Multiply through by  b+g to eliminate the denominator:
60(b+g)=80b+50g
Expand and simplify:
60b+60g=80b+50g
60g−50g=80b−60b
10g=20b

Step 3: Conclusion
The ratio of the number of boys to the number of girls is:
1:2
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In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50kg.If the mean weight of all the students taken together is 60kg, then the ratio of the number of boys to that of the girls isa)2:1b)3: 2c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer?
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In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50kg.If the mean weight of all the students taken together is 60kg, then the ratio of the number of boys to that of the girls isa)2:1b)3: 2c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50kg.If the mean weight of all the students taken together is 60kg, then the ratio of the number of boys to that of the girls isa)2:1b)3: 2c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of students, mean weight of boys is 80 kg and mean weight of girls is 50kg.If the mean weight of all the students taken together is 60kg, then the ratio of the number of boys to that of the girls isa)2:1b)3: 2c)1:2d)2:3Correct answer is option 'C'. Can you explain this answer?.
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