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There are twice as many girls as boys in a class. If 45% of the girls and 30% of the boys have submitted their consent for the outstation tour, then what per cent of the students have NOT submitted consent for the tour?

  1. A
    60%
  2. B
    44%
  3. C
    50%
  4. D
    40%

Solution & Step-by-step Explanation

Let the number of boys in the class be 100.
Since there are twice as many girls as boys, the number of girls is:

Girls=2×100=200
Total Students=100+200=300
Step 1: Calculate the percentage of students who did NOT give consent

For girls: 45% submitted consent, which means 100%−45%=55% did NOT submit consent.

Girls without consent=55% of 200=0.55×200=110
For boys: 30% submitted consent, which means 100%−30%=70% did NOT submit consent.

Boys without consent=70% of 100=70
Step 2: Total number of students who did not give consent

Total without consent=110+70=180
Step 3: Calculate the overall percentage

Percentage=(
300
180

)×100%=60%

Practice this question

Try it yourself before checking the explanation above.

There are twice as many girls as boys in a class. If 45% of the girls and 30% of the boys have submitted their consent for the outstation tour, then what per cent of the students have NOT submitted consent for the tour?
A
60%
B
44%
C
50%
D
40%

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