Question

If the total depreciation of machinery and equipment in one year is 8000 and the
ratio of the amount of depreciation of machinery and equipment is 1 : 3, then the rate of depreciation of equipment is​

Answer 1

the rate of depreciation of equipment is​ 6000.

1. Dm/De = 1/3

  Dm = X, De = 3X

  rate= dm/(de+dm)*100%

        = 3x/4x*100%

        = 75%

  rate of de = 8000/100*75

                   = 6000.

Answer 2

The rate of depreciation of equipment is 75%

Step-by-step explanation:

The  ratio of the amount of depreciation of machinery and equipment is 1 : 3

let amount of depreciation of machinery be Dm and equipment be De

Therefore, $\dfrac{D_m}{D_e}=\dfrac{1}{3}$

$D_e=3D_m$

The total depreciation of machinery and equipment in one year is 8000

$D_m+D_e=8000$

$D_m+3D_m=8000$

$4D_m=8000$

$D_m=2000$

$D_e=6000$

$\text{Rate of depreciation of equipment }=\dfrac{\text{Amount of depreciation of equipment}}{\text{Total depreciation}}$

$\text{Rate of depreciation of equipment }=\dfrac{6000}{8000}\times 100$

$\text{Rate of depreciation of equipment }=75\%$

Hence, the rate of depreciation of equipment is 75%

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