Question : If 20% of $(x + y)$ = 30% of $(x - y)$, then $x$ is what percentage of $y$?
Option 1: 0.5%
Option 2: 5%
Option 3: 500%
Option 4: 50%
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Correct Answer: 500%
Solution : Given: 20% of $(x + y)$ = 30% of $(x - y)$ ⇒ $\frac{20}{100}×(x+y)=\frac{30}{100}×(x-y)$ ⇒ $2x+2y=3x-3y$ ⇒ $x=5y$ ⇒ $\frac{x}{y}=\frac{5}{1}$ Required percentage = $\frac{x}{y}×100=\frac{5}{1}×100=500$% So, $x$ is 500% of y. Hence, the correct answer is 500%.
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Question : If (x + y) : (y + z) : (z + x) = 3 : 5 : 7 and (x + y + z) = 45, then what is the value of z?
Option 1: 18
Option 2: 30
Option 3: 27
Option 4: 20
Question : If $\mathrm{X: Y=3: 2}$, then what is the value of $\mathrm{(X-Y):(X+Y) }$?
Option 1: 4 : 5
Option 2: 1 : 5
Option 3: 8 : 9
Option 4: 3 : 7
Question : If $(3x+y):(3 x-y)=4: 3$, then what is the value of $x: y$?
Option 1: 5 : 3
Option 2: 7 : 3
Option 3: 5 : 2
Option 4: 7 : 4
Question : If (7x + y) : (7x – y) = 7 : 3, then what is the value of x : y?
Option 1: 4 : 3
Option 2: 5 : 14
Option 3: 15 : 6
Option 4: 6 : 15
Question : Directions: If 2 + 3 + 5 = 30; 3 + 4 + 6 = 72; 5 + 6 + 2 = 60; then 5 + 4 + 0 = ?
Option 1: 40
Option 3: 0
Option 4: None
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