Answer:
Rs166.67
Step-by-step explanation:
Let
x -----> amount of money Arun has in his pocket at the beginning
we know that
100%-25%=75%
75%=75/100=0.75
so
The linear equation that represent this situation is
0.75x=125
Solve for x
Divide by 0.75 both sides
x=125/0.75
x=Rs166.67
So,percentage of money left =100%-Percentage of money spend
[tex]\sf{\: \:\:\:\:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 100\% - 25\%}[/tex]
[tex]\sf{\: \:\:\:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 75\%}[/tex]
Now,
percentage of money left=[tex]\large{\sf{ \frac{money \: left}{total \: money} \times 100}}[/tex]
[tex]\large{\sf{ → 75 = \frac{125}{x} \times 100}}[/tex]
[tex]\large{\sf{ →x = \frac{125}{75} \times 100}}[/tex]
[tex]\large{\sf{ → x = 125× \frac {100}{75} }}[/tex]
[tex]\large{\sf{→x=\frac{125×100}{75}}}[/tex]
[tex]\large{\sf{→x=166.67}}[/tex]
[tex] \large{ \underline{ \overline{ \mid{ \rm{ \red{Answer→Total\:amount=Rs\:166.67}} \mid}}}}[/tex]
