Find the percent increase or decrease: 43 to 78

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= $78-43= 35$

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= $\frac{Difference\ in\ number}{base\ number} \times 100$

⇒ Percent change in number= $\frac{35}{43} \times 100= 81.39\%$

∴ 81.39% increase in the number.

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$\displaystyle\bf\\Solving:\\\\Volume1=108~m^3\\\\Volume2=4m^3\\\\k^3=\frac{108}{4}\\\\k^3=27~~\Big|\sqrt{~}\\\\k=\sqrt[\b3]{27}\\\\k=3\\\\Area1=54~m^2\\\\\frac{Area~1}{Area~2}=k^2\\\\\frac{54}{Area~2}=3^2\\\\\frac{54}{Area~2}=9\\\\Area2=\frac{54}{9}\\\\\boxed{\bf Area2=6 m^2}$