Question

Furniture 5000
Dep10% but the answer is 375 how?

Answer 1

ANSWER :

❖ Amount of Furniture is Rs. 5000 and Depreciation charged @ 10%, but the answer is Rs. 375. It is because, depreciation is changed for 9 months only; not for a year i.e., for 12 months.

• ↬ When depreciation is charged @ 10% p.a., for 9 months on Furniture amounting Rs. 5000; then the amount of depreciation will be Rs. 375.

• ↬ When depreciation is charged @ 10% p.a., for a year, i.e., 12 months on Furniture amounting Rs. 5000; then the amount of depreciation will be Rs. 500.

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EXPLANATION :

❖ Given :-

• Amount of furniture = Rs. 5000

• Rate of depreciation = 10% p.a.

• Amount of depreciation = Rs. 375

Suppose,

• No. of months for which depreciation is charged = x

Then,

• According to Question,

$\bigstar \: \: \sf{5000 \times \frac{x}{12} \times \frac{10}{100} = 375} \\ \\ \sf{ \implies \: 500 \cancel{0} \times \frac{x}{12} \times \frac{1}{1 \cancel{0}} = 375} \\ \\ \sf{ \implies \: 500 \times \frac{x}{12} = 375} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: \frac{500 \: x}{12} = 375} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: 500 \: x = 375 \times 12} \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: 500 \: x = 4500} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \implies \: x = \frac{4500}{500}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \large{ \therefore \: \: x = 9 \: }} \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Hence, number of months for which depreciation is charged is 9 months.