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EMI, CAGR & Depreciation · Question 66 of 66

At the end of which year does the machine's book value first fall below ₹2,00,000?

Question 66

MediumOriginal question

A factory buys a machine for ₹6,00,000. It is expected to last 8 years and then fetch ₹40,000 as scrap. The factory uses the straight-line method.

At the end of which year does the machine's book value first fall below ₹2,00,000?

Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 6,00,000−70,000n<2,00,000⇒n>5.716{,}00{,}000 - 70{,}000n < 2{,}00{,}000 \Rightarrow n > 5.71.

  2. After 5 years it is ₹2,50,000; after 6 years, ₹1,80,000. So the end of year 6.

Worth noting

At the end of year 5 the value is still ₹2,50,000.

Concept
When the book value crosses a level
Typical time
120 s
Your time
—
The rule this testsLinear depreciation
Practise this chapter →

Ten questions from EMI, CAGR & Depreciation, at your own pace.

Practise this chapter →

Ten questions from EMI, CAGR & Depreciation, at your own pace.