If 40% of (x - y) = 30% of (x + y), then y = what percent of x
If 40% of (x - y) = 30% of (x + y), then y = what percent of x ?
A70%
B
9.6%
C14.3%
D2.5%
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Answer is : 14.3%
Explanation:
40% of (x - y) = 30% of (x + y)
\(=>\frac{40}{100} of (x-y) = \frac{30}{100} of (x+y)\)
\(=> \frac{40}{100}\times (x-y) = \frac{30}{100}\times(x+y)\)
\(=> 4x - 4y = 3x+3y\)
=> x = 7y
\(\therefore \text{required percentage} =\Big(\frac{y}{x}\times100\Big)\%\)
=> \(\Big(\frac{y}{7y}\Big) \times 100 \%\)
\(=> \Big( \frac{100}{7} \Big) \%\)
= 14.3%
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