I recievd two salary hikes during the current financial year. The first time, my salary was hiked by x% while the second time it was hiked by 2x% .my current salary is 1.875times of my salary at the starting of the year .find the value of x
Answers
Answered by
2
Answer:
The value of x is 25.
Step-by-step explanation:
Suppose, y be the initial salary,
After hiking x%, new salary = y + x% of y
= y + 0.01xy
Again after hiking 2x%, new salary = y(1+0.01x) + 2x% of y(1+0.01x)
According to the question,
y(1+0.01x) + 2x% of y(1+0.01x) = 1.875y
1+0.01x + 0.02x(1+0.01x) = 1.875
1+0.01x + 0.02x+0.0002x² = 1.875
1+0.03x+0.0002x² = 1.875
0.03x+0.0002x² = 0.875
2x² + 300x - 8750 =0
x² + 150x - 4375 = 0
x² + 175x - 25x - 4375 = 0
x(x + 175) - 25(x +175) = 0
(x-25)(x+175)=0
⇒ x = 25 or -175
The value of x must be positive ( because the salary was hiked )
Hence, the value of x is 25.
Similar questions