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Give me similar practice problems like this : The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
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Give me similar practice problems like this : The ratio of the number ...
- **Initial Situation**
Given that the ratio of boys to girls in a college is 7:8.
- **Percentage Increase**
1. The number of boys increases by 20%.
2. The number of girls increases by 10%.
- **Calculating the Increase**
Let's assume the initial number of boys is 7x and the initial number of girls is 8x.
1. After a 20% increase, the new number of boys will be 1.2 times the initial number:
New number of boys = 1.2 * 7x = 8.4x
2. After a 10% increase, the new number of girls will be 1.1 times the initial number:
New number of girls = 1.1 * 8x = 8.8x
- **New Ratio**
The new ratio of boys to girls can be calculated by dividing the new number of boys by the new number of girls:
New ratio = 8.4x / 8.8x = 0.9545
- **Conclusion**
The new ratio of boys to girls after the percentage increase will be approximately 1:1.05.
By following these steps, you can easily calculate the new ratio of boys to girls after a percentage increase in their numbers.
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Give me similar practice problems like this : The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
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