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The ratio between the number of boys and girls in a school is 4:5. If the number of boys are increased by 30 % and the number of girls increased by 40 %, then what will the new ratio of boys and girls in the school.
- a)13/35
- b)26/35
- c)26/41
- d)23/13
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The ratio between the number of boys and girls in a school is 4:5. If ...
Answer – B.26/35 Explanation : boys = 4x and girls = 5x.
Required ratio = [(130/100)*4x]/ [(140/100)*5x]
Required ratio = [(130/100)*4x]/ [(140/100)*5x]
Most Upvoted Answer
The ratio between the number of boys and girls in a school is 4:5. If ...
Given:
- The ratio between the number of boys and girls in a school is 4:5.
To find:
- The new ratio of boys and girls in the school after increasing the number of boys by 30% and the number of girls by 40%.
Solution:
Let's assume that the number of boys and girls in the school initially is 4x and 5x respectively, where x is a constant.
Step 1: Increase the number of boys by 30%
The new number of boys = (Initial number of boys) + (30% of Initial number of boys)
= (4x) + (30/100) * (4x)
= 4x + (6/10)x
= 4x + 0.6x
= 4.6x
Step 2: Increase the number of girls by 40%
The new number of girls = (Initial number of girls) + (40% of Initial number of girls)
= (5x) + (40/100) * (5x)
= 5x + (2/5)x
= 5x + 0.4x
= 5.4x
Step 3: Find the new ratio of boys and girls
The new ratio of boys and girls = (New number of boys) : (New number of girls)
= (4.6x) : (5.4x)
= 46x/10 : 54x/10
= 46 : 54
= 23 : 27
Conclusion:
The new ratio of boys and girls in the school after increasing the number of boys by 30% and the number of girls by 40% is 23:27, which is equivalent to 26:35. Therefore, option B is the correct answer.
- The ratio between the number of boys and girls in a school is 4:5.
To find:
- The new ratio of boys and girls in the school after increasing the number of boys by 30% and the number of girls by 40%.
Solution:
Let's assume that the number of boys and girls in the school initially is 4x and 5x respectively, where x is a constant.
Step 1: Increase the number of boys by 30%
The new number of boys = (Initial number of boys) + (30% of Initial number of boys)
= (4x) + (30/100) * (4x)
= 4x + (6/10)x
= 4x + 0.6x
= 4.6x
Step 2: Increase the number of girls by 40%
The new number of girls = (Initial number of girls) + (40% of Initial number of girls)
= (5x) + (40/100) * (5x)
= 5x + (2/5)x
= 5x + 0.4x
= 5.4x
Step 3: Find the new ratio of boys and girls
The new ratio of boys and girls = (New number of boys) : (New number of girls)
= (4.6x) : (5.4x)
= 46x/10 : 54x/10
= 46 : 54
= 23 : 27
Conclusion:
The new ratio of boys and girls in the school after increasing the number of boys by 30% and the number of girls by 40% is 23:27, which is equivalent to 26:35. Therefore, option B is the correct answer.
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Community Answer
The ratio between the number of boys and girls in a school is 4:5. If ...
Answer – B.26/35 Explanation : boys = 4x and girls = 5x.
Required ratio = [(130/100)*4x]/ [(140/100)*5x]
Required ratio = [(130/100)*4x]/ [(140/100)*5x]
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