Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

The value of a machine depreciates by 10% every year. After two years the value of machine decreases by :

Options:

16%

17%

18%

19%

Correct Answer:

19%

Explanation:

The correct answer is Option (4) → 19%

Depreciation follows an experimental decay formula,

$V=P×(1-r)^t$

$=P×(1-0.10)^2$

$=P×0.81$

Decrease = $P-V$

$=P-P×0.81$

$=P×6.19$

∴ Machine value decreases by 19%