Class A and B have the students in ratio 5:3, if the number of students in class A increased by 20% that of in class B decreased by 10%, the net % change in number of students in class A and B put together?
Question
Class A and B have the students in ratio 5:3, if the number of students in class A increased by 20% that of in class B decreased by 10%, the net % change in number of students in class A and B put together?
Solution
Let's break this down:
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Assume the number of students in Class A and Class B originally are 5x and 3x respectively.
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According to the problem, the number of students in Class A increased by 20%. So, the new number of students in Class A is 5x * 1.20 = 6x.
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Similarly, the number of students in Class B decreased by 10%. So, the new number of students in Class B is 3x * 0.90 = 2.7x.
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The total original number of students in both classes is 5x + 3x = 8x.
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The total new number of students in both classes is 6x + 2.7x = 8.7x.
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The net change in the number of students is the new total minus the original total, which is 8.7x - 8x = 0.7x.
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To find the percentage change, we divide the net change by the original total and multiply by 100. So, the percentage change is (0.7x / 8x) * 100 = 8.75%.
So, the net percentage change in the number of students in Class A and B put together is 8.75%.
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