The numbers x, y, z are proportional to 2, 3, 5. The sum of x, y, z is 100. If y = px - 10, then p is equal to.

A. $$\frac{3}{2}$$

B. 2

C. $$\frac{5}{2}$$

D. 3

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & \to x:y:z = 2:3:5 \cr & \therefore x = \left( {100 \times \frac{2}{{10}}} \right) = 20 \cr & y = \left( {100 \times \frac{3}{{10}}} \right) = 30 \cr & y = px - 10 \cr & \Rightarrow 30 = 20p - 10 \cr & \Rightarrow 20p = 40 \cr & \Rightarrow p = 2 \cr} $$