Question

11. The value of a machine depreciates at the rate of 10% per annum. If its present
value is Rs. 1,62,000, what will be its worth after 2 years? What was the value of
the machine 2 years ago?​

Answer 1

$\huge{Question:-}$

The value of a machine depreciates at the rate of 10% per annum. If its present value is ₹1,62,000. What will be its worth after 2 years? What was the value of the machine 2 years ago?

$\huge{\red{Solution:-}}$

Present value of the machine = ₹1,62,000

Rate of depreciation = 10%

Value of depreciation =$\frac{10}{100}×{162000}$

= ₹16,200

• Value of machine after two years:

Value of machine after 1 year=₹(162000-16200)

= ₹1,45,800

Value of depreciation =$\frac{10}{100}×{145800}$

= ₹14,580

Value of machine after 2 years=₹(145800-14580)

= ₹1,31,220

• Value of machine two years ago:

let value of machine 1 year ago be ₹'x'

Then,

According to the Question:-

Value of machine 1 year ago=${x}-(\frac{10}{100}×{x}) = {162000}$

$=>{x}-(\frac{x}{10}) = {162000}$

$=>(\frac{10x-x}{10}) = {162000}$

$=>{9x} = {1620000}$

$=>{x} =\frac{1620000}{9}$

=>x =₹1,80,000

let value of machine 2 year ago be ₹'y'

Then,

According to the Question:-

Value of machine 1 year ago=${y}-(\frac{10}{100}×{y}) = {180000}$

$=>{y}-(\frac{y}{10}) = {180000}$

$=>(\frac{10y-y}{10}) = {180000}$

$=>{9y} = {1800000}$

$=>{y} =\frac{1800000}{9}$

=> y = ₹2,00,000

$\huge{\boxed{\red{Answer:-}}}$

• Value of machine after 2 years = ₹1,31,220

• Value of machine 2 years ago = ₹2,00,000