When a number is increased by 32, it becomes 116% of itself. What is the number?
- A384
- B480
- C200
- D288
Solution & Step-by-step Explanation
Let the number be x.
According to the question, increasing the number by 32 makes it equal to 116% of x:
x+32=
100
116
x
x+32=1.16x
Rearrange the equation to solve for x:
1.16x−x=32
0.16x=32
x=
0.16
32
=
16
3200
=200
Thus, the number is 200.
According to the question, increasing the number by 32 makes it equal to 116% of x:
x+32=
100
116
x
x+32=1.16x
Rearrange the equation to solve for x:
1.16x−x=32
0.16x=32
x=
0.16
32
=
16
3200
=200
Thus, the number is 200.