Devide 1000 by two parts such that one part is 1/100 of other
N + N/100 = 1000
1.01 N=1000
N=1000/1.01= 990.09901
N/100=9.9009901
To divide 1000 into two parts such that one part is 1/100 of the other, you can follow these steps:
Step 1: Assign variables to the two parts.
Let's call the smaller part "x" and the larger part "y".
Step 2: Set up the equation based on the given information.
According to the problem, one part is 1/100 of the other. Mathematically, this can be expressed as:
x = (1/100) * y
Step 3: Express one part in terms of the other.
To make the equation simpler, eliminate the fraction by multiplying both sides of the equation by 100:
100x = y
Step 4: Substitute the value of one part into the equation.
Since we know that the sum of the two parts is 1000, we can substitute the value of "y" from the second equation into the first equation:
100x = 1000 - x
Step 5: Solve the equation.
Simplify the equation:
100x + x = 1000
101x = 1000
x = 1000 / 101
x ≈ 9.9 (rounded to one decimal place)
Step 6: Calculate the other part.
To find the other part (y), substitute the value of x into the second equation:
y = 100x
y = 100 * 9.9
y = 990
So, the two parts are approximately 9.9 and 990.