25) The population of a city decreased from 25,000 to 24,000. Find the percentage decrease. About the author Faith
Answer: Percent decrease is 4%. Step-by-step explanation: As per the provided information in the given question, we have, The population of a city decreased from 25,000 to 24,000. We are asked to calculate the percent decrease. Since the population of the city decreased from 25,000 to 24,000 , so we can say that : • Original population was 25,000. ★ A percent change in decrease given as a percent of the original amount. [tex] \longrightarrow \sf { \% \: decrease = \left \lgroup \dfrac{Amount_{(Decreased)}}{Original \: Amount} \times 100 \right \rgroup \: \% } \\[/tex] † Calculating amount of decrease : ➝ Amount of decrease = Original population ― New population ➝ Amount of decrease = 25,000 – 24,000 ➝ Amount of decrease = 1000 Now, we have : Amount of decrease = 1000 Original amount of population = 25,000 Substituting the values in the formula. [tex] \longrightarrow \sf { \% \: decrease = \left \lgroup \dfrac{1000}{25000} \times 100 \right \rgroup \: \% } \\[/tex] Cancelling the zeros in the numerator and the denominator. [tex] \longrightarrow \sf { \% \: decrease = \left \lgroup \dfrac{1}{25} \times 100 \right \rgroup \: \% } \\[/tex] Multiplying 1 with 100. [tex] \longrightarrow \sf { \% \: decrease =\left \lgroup \cancel{ \dfrac{100}{25} } \right \rgroup \: \%} \\[/tex] Dividing 100 by 25. [tex] \longrightarrow \underline{\boxed{\sf { \% \: decrease = 4 \: \% }}}\; \bigstar \\[/tex] Therefore, percent decrease is 4 %. ____________________ ★ Some related formulae : • [tex] \sf { \% \: decrease = \left \lgroup \dfrac{Amount_{(Decreased)}}{Original \: Amount} \times 100 \right \rgroup \: \% } \\[/tex] • [tex] \sf { \% \: increase = \left \lgroup \dfrac{Amount_{(Increased)}}{Original \: Amount} \times 100 \right \rgroup \: \% } \\[/tex] • [tex] \sf { \% \: error = \left \lgroup \dfrac{Error}{Actual \: value} \times 100 \right \rgroup \: \% } \\[/tex] Reply
Answer:
Percent decrease is 4%.
Step-by-step explanation:
As per the provided information in the given question, we have,
We are asked to calculate the percent decrease.
Since the population of the city decreased from 25,000 to 24,000 , so we can say that :
• Original population was 25,000.
★ A percent change in decrease given as a percent of the original amount.
[tex] \longrightarrow \sf { \% \: decrease = \left \lgroup \dfrac{Amount_{(Decreased)}}{Original \: Amount} \times 100 \right \rgroup \: \% } \\[/tex]
† Calculating amount of decrease :
➝ Amount of decrease = Original population ― New population
➝ Amount of decrease = 25,000 – 24,000
➝ Amount of decrease = 1000
Now, we have :
Substituting the values in the formula.
[tex] \longrightarrow \sf { \% \: decrease = \left \lgroup \dfrac{1000}{25000} \times 100 \right \rgroup \: \% } \\[/tex]
Cancelling the zeros in the numerator and the denominator.
[tex] \longrightarrow \sf { \% \: decrease = \left \lgroup \dfrac{1}{25} \times 100 \right \rgroup \: \% } \\[/tex]
Multiplying 1 with 100.
[tex] \longrightarrow \sf { \% \: decrease =\left \lgroup \cancel{ \dfrac{100}{25} } \right \rgroup \: \%} \\[/tex]
Dividing 100 by 25.
[tex] \longrightarrow \underline{\boxed{\sf { \% \: decrease = 4 \: \% }}}\; \bigstar \\[/tex]
Therefore, percent decrease is 4 %.
____________________
★ Some related formulae :
• [tex] \sf { \% \: decrease = \left \lgroup \dfrac{Amount_{(Decreased)}}{Original \: Amount} \times 100 \right \rgroup \: \% } \\[/tex]
• [tex] \sf { \% \: increase = \left \lgroup \dfrac{Amount_{(Increased)}}{Original \: Amount} \times 100 \right \rgroup \: \% } \\[/tex]
• [tex] \sf { \% \: error = \left \lgroup \dfrac{Error}{Actual \: value} \times 100 \right \rgroup \: \% } \\[/tex]
Answer:
The population decreased is 4%.