Question

The value of machine depreciate every year by 10%if the present valueof machine be 9900what was it value last year

Answer 1

Heya ☺

Given that

Present value of a machine = ₹9,900

Rate of depreciation = 10 % p.a.

Time period = 1 year

Solution

Value of machine in last year = P(1-R/100)^n

=> 9,900 = P(1-10/100)

=> 9,900 = P(100-10/100)

=> 9,900 = P(90/100)

=> 9,900 = P × 9/10

=> P = 9,900 × 10/9

=> P = ₹11,000



Thanks

Answer 2

Answer :

₹ 110000

Given :

Value of machine depreciates every year by 10 %

Present value of machine = ₹ 99000

To Find :

Value of machine in last year.

SolUtion :

Let the value of machine in last year be " M "

It depreciates by 10%, therefore, present value = 90% of M

According to question :

$\sf \dfrac{90}{100} \times {M} = \dfrac{9M}{10}$

$\sf \implies \dfrac{9M}{10} = 99000$

$\sf \implies M =\dfrac{99000\times 10}{9}$

$\sf \therefore M = 110000∴M=110000$

Hence,

Value of machine last year was ₹ 110000.