Question

the value of a machine deprexiates by 10% annnuly. if its present value is ₹100000 what will be its value after2 years

Answer is 81000 ₹

Answer 1

Ahoy

Refer to the attachment

Answer 2

$\boxed{\boxed{\boxed{\bold{\red{Solution :\longrightarrow}}}}}$

$\mathfrak{\underline{Given,}}$

$\bold{Value \: \: of \: \: the \: \: machine \: (P) = rs \: \: 100000}$

$\bold{Rate \: \: of \: \: depreciate \: (R) = 10\%.}$

$\bold{Time \: (T) = 2 \: \: years}$

$\bold{\underline{Now}}$
$\bold{Value \: \: of \: \: the \: \: machine \: \: after \: \: 2 \: \: years }\\ \\\bold{ = P \times (1 - \frac{R}{100} ) {}^{T}} \\ \\\bold{ = Rs \: \: 100000 \times (1 - \frac{10}{100} ) {}^{2}} \\ \\\bold{ = Rs \: \: 100000 \times ( \frac{100 - 10}{100} ) {}^{2}} \\ \\\bold{ = Rs \: \: 100000 \times ( \frac{90}{100} ) {}^{2}} \\ \\\bold{ = Rs \: \: 100000 \times \frac{90}{100} \times \frac{90}{100}} \\ \\ \bold{= Rs \: \: 81000} \: \: \: \boxed{\boxed{\boxed{\bold{\green{Ans}}}}}$