Question

Machine is depreciated at the rate of 10% on reducing balance. The original cost was 10000. After how many years it will be valued at 6561?

Please somebody answer this question fast ?

Answer 1

Answer:

4 years

Step-by-step explanation:

P = 10000

R% = 10%

T = ?

A = 6561

A = P(1-$\frac{R}{100}$)$^{n}$           Where n = t

Now,

6561 = 10000(1-$\frac{10}{100}$)$^{n}$

$\frac{6561}{10000}$ = $\frac{9}{10}$)$^{n}$

= $(\frac{9}{10} )^{4}$ = $(\frac{9}{10})^{n}$

Which gives n = 4

t =4

Ans =  4 years