Question

The value of a fridge which costs Rs 6000 depreciates by 10% each year.
After how many years will its depreciated value is Rs 4374?*
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Answer 1

Answer:

multiple the rs 6000 and for 10

Answer 2

Answer:

After 3 years will its depreciated value is Rs 4374.

Step-by-step explanation:

Given value of a fridge which costs Rs 6000.

So,Cost price of the fridge is 6000.

Rate of depreciation is 10% p.a

Let time be x

$4374 =6000 \times {(1 - \frac{10}{100}) }^{x} \\ \frac{4374}{6000} = { (\frac{9}{10} )}^{x}$

${( \frac{9}{10}) }^{3} = { (\frac{9}{10}) }^{x} \\ x = 3$

Required time is 3 years.

Here we applied Compound interest formula.