Question

the value of a machinery in 2008 is ₹64800. it's value in 2006 if rate of depreciation is 10% p.a is​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

Rs. 80,000

Step-by-step explanation:

Value of machinery in 2008(Final Price) = ₹64800

Rate = -10%p.a

The rate is negative since it is depreciated.

Time = 2 years

Let, the initial price be x.

$final \: price = initial \: price(1 + \binom{rate}{100} ) ^{time}$

$64800 = x(1 + \frac{ - 10}{100} ) ^{2}$

$64800 = x( \frac{100 - 10}{100}) ^{2}$

$64800 = x( \frac{90}{100} ) ^{2}$

$64800 = x( \frac{9}{10} ) ^{2}$

$64800 = x \times \frac{81}{100}$

$\frac{64800 \times 100}{81} = x$

$x = 80000$

So, the value of machinery in 2006 is Rs.80,000.

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