Question

the value of a machine depreciates every year by 10% what will be its value after 2 years if its present value is rupees 50000

Answer 1

Answer:

$Value \: of \: the \: machine\\after\:2\: years \\=Rs\:40500$

Step-by-step explanation:

$Present\:value \: of \: a\\machine (c)=Rs\:50000$

$Depreciation\:of\:each\\year(d)=10\%$

$Number \: of\:times \\ depreciating(n)= 2$

$Value \: of \: the \: machine\\after\:2\: years \\=c\times \left(\frac{100-d}{100}\right)^{n}\\=50000\times \left(\frac{100-10}{100}\right)^{2}\\=50000\times \left(\frac{90}{100}\right)^{2}\\=50000\times \big(\frac{9}{10}\big)^{2}\\=\frac{50000\times 9\times 9}{10\times 10}\\=500\times 81\\=Rs\:40500$

Therefore,

$Value \: of \: the \: machine\\after\:2\: years \\=Rs\:40500$

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