Question

A machine depreciates at 10% of its value at the beginning of a year
The Cost and scrap value realized at the time of sale being 23240 and
9000 respectively. For how many years the machine was put to use?

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Answer 1

The machine was put to use for 6 years.

Step-by-step explanation:

Since we have given that

Cost price of machine = Rs. 23240

Scrap value = Rs. 9000

Rate of depreciation = 10%

As we know that

$Depreciation=\dfrac{Cost-Scrap\ value}{\text{Number of years}}\times 100\\\\=\dfrac{23240-9000}{n}\\\\=\dfrac{14240}{n}$

So, Rate of depreciation is equal to

$\dfrac{14240}{23240n}\times 100=10\\\\\dfrac{14240}{23240n}=\dfrac{10}{100}=\dfrac{1}{10}\\\\142400=23240n\\\\n=\dfrac{142400}{23240}\\\\n=6.13\\\\n\approx 6\ yrs$

Hence, the machine was put to use for 6 years.

# learn more :

A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the orginal value (cost) of the machine, if it depreciates by 5,355 during the second year.​

https://brainly.in/question/12417468

Answer 2

The machine was put to use for 6 years

Step-by-step explanation:

Depreciation =10%

Cost price of machine=Rs 23240

Scrap value=Rs 9000

We know that

Depreciation rate=$\frac{C.p-scrap\;value}{n}$

Where n=Number of years

Substitute the values then we get

$\frac{10}{100}\times 23240=\frac{23240-9000}{n}=\frac{14240}{n}$

$2324n=14240$

$n=\frac{14240}{2324}=6.13\approx 6$

Hence, the machine was put to use for 6 years

#Learns more:

https://brainly.in/question/3973968:Answered by Shivamdalmia