Question

Last year Michelle adopter a pet rabbit sence it was adopted the rabbit weight has increased from 1 1/4 to 2 1/4 by what percentage has the rabbit weight increased

Answer 1

Answer:

80%.

Step-by-step explanation:

Given:

Last year Michelle adopter a pet rabbit sence it was adopted the rabbit weight has increased from 1 1/4 to 2 1/4.

Question asked:

By what percentage has the rabbit weight increased ?

Solution:

As we know:

$Percentage\ increased=\frac{New\ value-old\ value}{old \ value} \times100$

Old value = $1\frac{1}{4} =\frac{4\times1+1}{4} =\frac{5}{4}$          

New value = $2\frac{1}{4} =\frac{4\times2+1}{4} =\frac{9}{4}$

$Percent\ increased\ in\ weight=\frac{new\ weight-old\ weight}{old\ weight} \times100$

                                               $=\frac{\frac{9}{4}-\frac{5}{4} }{\frac{5}{4} } \times100\\ \\ =\frac{\frac{9-5}{4} }{\frac{5}{4} } \times100\\ \\ =\frac{\frac{4}{4} }{\frac{5}{4} } \times100\\ \\ =\frac{1}{{\frac{5}{4} } }\times100\\ \\ =\frac{4}{5} \times100\\ \\ =\frac{400}{5} \\ \\ =80\%$

Thus, weight of rabbit increased by 80%.