Increase $980 by 5% and then decrease the result by 5%. Calculate the overall percentage loss
To increase $980 by 5%, you can multiply it by 1.05.
$980 x 1.05 = $1029
To decrease the result by 5%, you can multiply $1029 by 0.95.
$1029 x 0.95 = $978.55
To calculate the overall percentage loss, subtract the final result from the initial amount and divide by the initial amount.
($980 - $978.55) / $980 x 100 = 0.1474%
Therefore, the overall percentage loss is approximately 0.1474%.
To calculate the overall percentage loss, we need to find out the final value after both the increase and decrease.
First, let's find the result of the 5% increase:
I = P * r
I = $980 * 0.05
I = $49
So, the increased amount is $49.
Now, let's find the value after the increase:
V1 = P + I
V1 = $980 + $49
V1 = $1,029
Next, let's calculate the decrease by 5%:
D = V1 * r
D = $1,029 * 0.05
D = $51.45
So, the decreased amount is $51.45.
Finally, let's find the value after the decrease:
V2 = V1 - D
V2 = $1,029 - $51.45
V2 = $977.55
To calculate the overall percentage loss, we need to find the difference between the original value ($980) and the final value after both the increase and decrease ($977.55).
Difference = P - V2
Difference = $980 - $977.55
Difference = $2.45
The overall percentage loss is determined by this difference as a percentage of the original value.
Percentage loss = (Difference / P) * 100
Percentage loss = ($2.45 / $980) * 100
Percentage loss ≈ 0.25%
So, the overall percentage loss is approximately 0.25%.
Increase $980 by 5% and then decrease the result by 5%. Calculate the overall percentage loss
The $980 don't even matter
simply find (1.05)(.95)
What does that tell you ?