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 The W.D.V. of an asset after there years of depreciation on the reducing balance method @ 10% p.a. is Rs. 36,450. What was its original value?
  • a)
    Rs. 40,000
  • b)
    Rs. 50,000
  • c)
    Rs. 45,000
  • d)
    Rs. 70,250
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The W.D.V. of an asset after there years of depreciation on the reduci...
Value of asset at the end of 2nd year = value at the end of 3rd year x 100/90
                                                                = 36,450 x 100/90 
                                                                = RS-40,500.
Value of asset at the end of 1st year = value at the end of 2nd year x 100/90
                                                             = 40,500 x 100/90
                                                             = RS-45,000.
Original value =  Value at the end of 1st year x 100/90
                        = 45,000 x 100/90
                        = RS-50,000.
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The W.D.V. of an asset after there years of depreciation on the reduci...
Given data:
W.D.V. of an asset after three years of depreciation on the reducing balance method @ 10% p.a. = Rs. 36,450

To find:
Original value of the asset

Solution:
Let the original value of the asset be 'x'.

Depreciation rate = 10% p.a.
Therefore, the asset's value at the end of the first year will be x - (10/100)x = 0.9x.
Similarly, the asset's value at the end of the second year will be 0.9x - (10/100)0.9x = 0.81x.
And, the asset's value at the end of the third year will be 0.81x - (10/100)0.81x = 0.729x.

Given that the W.D.V. of the asset after three years of depreciation on the reducing balance method @ 10% p.a. is Rs. 36,450.
Therefore, 0.729x = 36,450
x = 36,450/0.729
x = Rs. 50,000

Hence, the original value of the asset was Rs. 50,000.

Therefore, the correct answer is option 'B'.
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Community Answer
The W.D.V. of an asset after there years of depreciation on the reduci...
Question me thoda sa mistake ho gya h, THERE year ni hoga THREE year hoga. ENJOY YOUR STUDY :-)
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The W.D.V. of an asset after there years of depreciation on the reducing balance method @ 10% p.a. is Rs. 36,450. What was its original value?a)Rs. 40,000b)Rs. 50,000c)Rs. 45,000d)Rs. 70,250Correct answer is option 'B'. Can you explain this answer?
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