Question

1. what is the percentage change when 64 is increased to 144.
2. what is the percentage change when 320 is decreased to 288.
Want with correct solutions..

3... INCREASE
(i) 440 by 80%
(ii) 44 by 2.5%

4... DECREASE
(i) 8 by 12%
(ii) 150 by 33 1/3%

Answer 1

the percentage change when 64 is increased to 144 is 125

Answer 2

$1......\\ \\ \bold{given : } \\ \\ 64 \: is \: increased \: to \: 144 \\ \\ \\ \\ \bold{to \: find : } \\ \\ the \: increase \: percentage : \\ \\ \\ \\ \bold{increase \: in \: the \: no.} \\ \\ 144 - 64 \\ \\ \bold{80 }\\ \\ \\ \\ \frac{64}{100} = \frac{80}{?} \\ \\ \frac{100 \times 80}{64} \\ \\ \frac{100 \times 10}{8} \\ \\ \bold{125 \: \%} \\ \\ \\ \\ \bold{increase \: percentage \: is \: 125 \: \%}$
$2.......\\ \\\bold{given : } \\ \\ 320 \: is \: decreased \: to \: 288 \\ \\ \\ \\ \bold{to \: find : } \\ \\ decrease \: percentage : \\ \\ \\ \\ \bold{declination : } \\ \\ 320 - 288 \\ \\ \bold{32} \\ \\ \\ \\ \frac{320}{100} = \frac{32}{?} \\ \\ \frac{100 \times 32}{320} \\ \\ \bold{10 \: \% }\\ \\ \\ \\ \bold{decrease \: percentage \: is \: 10 \: \%}$
$3........\\ \\\bold{given : } \\ \\ 440 \: is \: increased \: by \: 80 \: \% \\ \\ \\ \\ \bold{to \: find : } \\ \\80 \% \: of \: 440 \\ \\ \\ \\ \frac{80}{100} \times 440 \\ \\ 44 \times 8 \\ \\\bold{ 352 }\\ \\ \\ \\ increase \: by \: 80 \: \% \: \\ \\ 352 + 440 \\ \\\bold{ 792 }$
$4........\\ \\\bold{given : } \\ \\ 44 \: is \: increased \: by \: 2.5 \: \% \\ \\ \\ \\ \frac{2.5}{100} \times 44 \\ \\ \frac{1}{40} \times 44 \\ \\ \bold{1.10 }\\ \\ \\ \\ increased \: no. \\ \\ 44 + 1.10 \\ \\\bold{ 45.10}$
$5..........\\ \\\bold{given : } \\ \\ 8 \: is \: decreased \: by \: 12 \: \% \\ \\ \\ \\ 12 \: \% \: of \: 8 \\ \\ \frac{12}{100} \times 8 \\ \\ \frac{96}{100} \\ \\ \bold{0.96 }\\ \\ \\ \\ decreased \: no. \\ \\ 8 - 0.96 \\ \\\bold{ 7.04 \: }$
$6.........\\ \\\bold{given : } \\ \\ 150 \: is \: decreased \: by \: 33 \times \frac{1}{2} \\ \% \\ \\ 150 \: is \: decreased \: by \: 33.5 \: \% \\ \\ \\ \\ \frac{33.5}{100} \times 150 \\ \\ \bold{50.25} \\ \\ \\ \\ \bold{decreased \: no. }\\ \\ 150 - 50.25 \\ \\\bold{ 99.75}$