Respuesta :
Answer:
[tex] let \: the \: total \: amunt \: be \: x \\ 12\% \: \times x = 108 \\ \frac{12}{100} \times x = 108 \\ x = 108 \times \frac{100}{12 } \\ x = 900 \\ \: total \: amount = 900[/tex]
Step-by-step explanation:
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Answer:
The total amount is ₹900.
Step-by-step explanation:
In this question, it is said that 12% of the total amount is ₹108 and we need to find the total amount.
So, let the total amount be x.
Now, according to the question :
[tex] \implies{\tt{12 \% \: of \: x = 180}}[/tex]
[tex] \implies{\tt{\dfrac{12}{100} \: of \: x = 180}}[/tex]
[tex] \implies{\tt{\dfrac{12}{100} \times x = 180}}[/tex]
[tex] \implies{\tt{\dfrac{12 \times x}{100} = 180}}[/tex]
[tex] \implies{\tt{\dfrac{12x}{100} = 180}}[/tex]
[tex] \implies{\tt{x= 180 \times \dfrac{100}{12}}}[/tex]
[tex] \implies{\tt{x= \cancel{180} \times \dfrac{100}{\cancel{12}}}}[/tex]
[tex] \implies{\tt{x= 9 \times 100}}[/tex]
[tex] \implies{\tt{x = 900}}[/tex]
Hence, the total amount is ₹900.
[tex]\rule{300}{2.5}[/tex]