Question : If $X$ is 20% less than $Y$, then find the values of$\frac{Y–X}{Y}$ and $\frac{X}{X–Y}$.
Option 1: $\frac{1}{5}$ and $-4$
Option 2: $5$ and $-\frac{1}{4}$
Option 3: $\frac{2}{5}$ and $-\frac{5}{2}$
Option 4: $\frac{3}{5}$ and $-\frac{5}{3}$
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Correct Answer: $\frac{1}{5}$ and $-4$
Solution :
Let $Y$ = 100
Then, $X$ = 100 × 80% = 80
The value of $\frac{Y–X}{Y}$ is $\frac{100–80}{100}=\frac{20}{100}=\frac{1}{5}$
The value of $\frac{X}{X–Y}$ is $\frac{80}{80–100} = –\frac{80}{20}=–4$
Hence, the correct answer is $\frac{1}{5}$ and $-4$.
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