Question

The values of a machine depreciates at the rate of 10%p.a.If it's present value is Rs 10000.what will be it's value after 2 years​

Answer 1

$\sf \large Given,$

$\sf \to Current\;value\;of\;the\;machine=Rs.\:10,000$

$\sf \to Rate\;of\;depreciation=10\%\;p.a.$

$\sf \large To\;find,$

$\sf \to Value\;of\;the\;machine\;after\;2\;years.$

$\sf \large Solution:$

$\sf \to Value\;of\;machine\;after\;1\;year=current\;value-10\%\;of\;current\;value$

$\sf \to Value\;of\;machine\;after\;1\;year=Rs.\:10,000-\frac{10}{1\cancel{00}}\times {Rs.\:10,0\cancel{00}}$

$\sf \to Value\;of\;machine\;after\;1\;year=Rs.\:0,000-Rs.\:1,000=Rs.\:9,000$

$\sf \large Now,$

$\sf \to Value\;of\;the\;machine\;after\;2\;years=value\;of\;machine\;after\;1\;year-10\%\;of\;value\;of\;machine\;after\;1\;year$

$\sf \to Value\;of\;the\;machine\;after\;2\;years=Rs.\:9,000-\frac{10}{1\cancel{00}}\times{Rs.\:9,0\cancel{00}}$

$\sf \to Value\;of\;the\;machine\;after\;2\;years=Rs.\:9,000-Rs.\:900$

$\sf \boxed{\bigstar Value\;of\;the\;machine\;after\;2\;years=Rs.\:8,100}$