Question

Is the percent increase from 50 to 70 equal to thhe percent decease from 70 to 50

Answer 1

Answer:

No

Step-by-step explanation:

The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Answer 2

Answer:

Step-by-step explanation:

Though the difference is the same, the original value is different. Therefore they are not the same.

Percentage increase from  50 to 70

                                                 $=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%$

Percentage decrease from 70 to 50

                                                 $= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%$