Question

The value of machine depreciates every year by 10 percent If the present value of the machine is 54000 what was the value last year

Answer 1

Answer:

The value of machine 1 year ago will be Rs.60000 .

Given:

➛The value of machine depreciates every year by 10 percent.

➛The present value of the machine is 54000.

To Find:

The value of machine 1 year ago.

Solution:

We are given,

➛The value of machine depreciates every year by 10 percent.

➛The present value of the machine is 54000.

Let us suppose the value of the machine 1 year ago be 'm'.

${\implies{\rm{ 10 \ percent \ of \ m = m \times \dfrac{10}{100}}}}$

${\implies{\rm{ 10 \ percent \ of \ m = \dfrac{m}{10}}}}$

According to given condition,

${\implies{\rm{ m - \dfrac{m}{10} = 54000}}}$

${\implies{\rm{ \dfrac{9m}{10} = 54000}}}$

${\implies{\rm{ 9m = 54000 \times 10}}}$

${\implies{\rm{ 9m = 540000}}}$

${\implies{\rm{ m = \dfrac{540000}{9} }}}$

${\therefore{\pink{\boxed{\blue{\star{ m = 60000}}}}}}$

Hence the value of machine 1 year ago will be Rs.60000.

Answer 2

Answer:

Original price Rs 54,000

Rate of decrement =10%

∴ Price after 1 year = 54,000(1− 10/100)

= 54,000×(90/100)

= 48,600

Price after 2 years = 48,600(1−10/100)

= 48,600×(90/100)

= 43,740

I hope you satisfied with my ANSWER.

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