Question

3) The value of a machine is rupees 48000. if each your its value depreciates by 5%, what will its value be at the end of 2 years ?​

Answer 1

Given:

• Value of a machine is ₹48000.
• It's value depreciates by 5% per year.

To Find:

• What will be the value of the machine after 2 years ?

Solution:

Present value of the machine = ₹48000

∵ Depreciation rate of the value of the machine = 5% per year

∴ Value of the machine after 1st year = ₹48000 - (5% of ₹48000)

$= Rs.\:48000-Rs.\:\bigg(\dfrac{5}{1\!\!\!\not{0}\!\!\!\not{0}}\times480\!\!\!\not{0}\!\!\!\not{0}\bigg)$

After cutting off the zeros, we get:

$= Rs.\:48000-Rs.\:(5\times480)$

After multiplying 5 by 480 and opening the brackets, we get:

$= Rs.\:48000-Rs.\:2400$

After subtracting, we get:

$= Rs.\:45600$

Now, value of the machine = ₹45600

Value of the machine after 2nd year = ₹45600 - (5% of ₹45600)

$= Rs.\:45600-Rs.\:\bigg(\dfrac{5}{1\!\!\!\not{0}\!\!\!\not{0}}\times456\!\!\!\not{0}\!\!\!\not{0}\bigg)$

After cutting of the zeros, we get:

$= Rs.\:45600-Rs.\:(5\times456)$

After multiplying 5 by 456 and opening the brackets, we get:

$= Rs.\:45600-Rs.\:2280$

After subtracting, we get:

$= Rs.\:43320$

Hence, the value of the machine after 2 years will be ₹43320.