2019 · Q22
x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?
Elementary MathematicsPercentages
- A45
- B55
- C65
- D75
Explanation
Write x and y in terms of z: x = 30z/100 and y = 40z/100. The required percentage p satisfies x = (p/100)*y, so p = 100*(x/y) = 100*(30/40) = 75. Equivalently, x : y = 30 : 40 = 3 : 4, so x is three-fourths of y. Hence p = 75, option (d).