Question

If 50% of (x-y) = 40% of (x+y) then what percent of x is y​

Answer 1

Answer:

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Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION\: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \text{ \red{50\% of (x - y) = 40\% of (x + y)}} \\ \\ \underline{ \mathfrak{ \: \:To \: \: find \: :- \: }} \\ \\ \text{ \red{The \: pecent \: of \: x \: that \: is \: y = ?}}$

$\underline{ \mathfrak{ \:Now, \: }} \\ \\ \sf{50\% \: \: of \: \: (x - y) \: = \: \frac{50}{100} \times (x - y)} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\sf{= \frac{1}{2} (x - y)}$

$\underline{ \mathfrak{ \: And, \: }}\\ \\ \sf{40\% \: \: of \: \: (x + y) \: = \: \frac{40}{100} \times (x + y) }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= \frac{2}{5} (x + y)}$

$\underline{ \mathfrak{ \: \: According \: \: to \: \: Question, \: \: }}$

$\tt{ \red{50\% \: \: of \: \: (x - y) = 40\% \: \: of \: \: (x + y) }}\\ \\ \tt{ \blue{\implies \: \frac{1}{2} (x - y) = \frac{2}{5} (x + y) }}\\ \\ \tt{ \green{\implies \: \frac{x - y}{2} = \frac{2(x + y)}{5}} } \\ \\ \tt{ \pink{\implies \:\frac{x - y}{2} = \frac{2x + 2y}{5} }} \\ \\ \tt{\implies \: 5(x - y) = 2(2x + 2y) }\\ \\ \tt{\purple{ \implies \: 5x - 5y = 4x + 4y }}\\ \\\tt{ \purple{\implies \:5x - 4x = 4y + 5y}} \\ \\\tt{ \implies \: x = 9y }\\ \\ \tt{ \pink{\implies \:9y = x }}\\ \\ \tt{\green{ \implies \: y = \frac{1}{9} x}} \\ \\ \tt{\blue{ \implies \: y = (\frac{1}{9} \times 100)x}} \\ \\ \: \: \: \: \: \tt{\therefore \: \red{y = 11.11 \: \% \: \:of \: \: x}}$

$\therefore \: \: \text{If \: \: \pink{50\% of (x-y) = 40\% of (x+y)} \: then} \\ \: \: \: \: \: \: \: \text{ \pink{11.11} \: percent \: of \: x \: is \: y.}$