If 50% of (x−y)=30% of (x+y), what percent of x is y?
3313%
40%
25%
400%
A
25%
B
40%
C
3313%
D
400%
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Solution
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Given: 50% of (x−y) = 30% of (x+y)
⇒50100×(x−y)=30100×(x+y)
⇒50x−50y=30x+30y
⇒50x−30y=50y+30y
⇒20x=80y
⇒14=y
Hence y is 25% of x.
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Class
0−10
10−20
20−30
30−40
40−50
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Frequency
7
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x
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y
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Mode of above data is 3313 and total frequency is 100. Find x and y.