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The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:
- a)25
- b)14
- c)24
- d)20
Correct answer is option 'C'. Can you explain this answer?
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The ratio of numbers of boys to the number of girls in a school of 432...
let no. of new girls admitted=g
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The ratio of numbers of boys to the number of girls in a school of 432...
Are admitted, the ratio becomes 7 : 5. Let the number of new boys admitted be x.
Initially, the number of boys is 5/9 * 432 = 240.
The number of girls is 4/9 * 432 = 192.
After the new boys are admitted, the number of boys becomes 240 + x.
The number of girls remains the same, which is 192.
Therefore, the new ratio is (240 + x) : 192 = 7 : 5.
Cross multiplying, we get (240 + x) * 5 = 7 * 192.
Dividing both sides by 5, we get 240 + x = 7 * 192 / 5.
Simplifying the right side, we get 240 + x = 7 * 38.4.
Multiplying 7 by 38.4, we get 268.8.
Therefore, x = 268.8 - 240 = 28.8.
Therefore, the number of new boys admitted is 28.8.
Initially, the number of boys is 5/9 * 432 = 240.
The number of girls is 4/9 * 432 = 192.
After the new boys are admitted, the number of boys becomes 240 + x.
The number of girls remains the same, which is 192.
Therefore, the new ratio is (240 + x) : 192 = 7 : 5.
Cross multiplying, we get (240 + x) * 5 = 7 * 192.
Dividing both sides by 5, we get 240 + x = 7 * 192 / 5.
Simplifying the right side, we get 240 + x = 7 * 38.4.
Multiplying 7 by 38.4, we get 268.8.
Therefore, x = 268.8 - 240 = 28.8.
Therefore, the number of new boys admitted is 28.8.
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The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer?
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The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer?.
The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys & girls are admitted, the no. of boys increases by 12 and the ratio of the boys to girls changes to 7 : 6. Then number of new girls admitted is:a)25b)14c)24d)20Correct answer is option 'C'. Can you explain this answer?.
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