Question

Amit purchased a bike for Rs. 25,000. The value of the bike depreciates at 15 % per annum. What will be its value after 3 years​

Answer 1

Step-by-step explanation:

$v = 25000 \\ r = 15\% \\ t = 3 \: \: years \\ using \: formula \\ \:(v \times (1 - \frac{r}{100} ) {}^{n} ) \\ (25000 \times (1 - \frac{15}{100} ){}^{3} ) \\ (25000 \times ( \frac{1 \times 20}{1 \times 20} - \frac{3}{20} ) {}^{3} ) \\ 25000 \times ( \frac{20 - 3}{20} ) {}^{3} \\ 25000 \times \frac{17}{20} \times \frac{17}{20} \times \frac{17}{20} \\ 25 \times \frac{17}{2} \times \frac{17}{2} \times \frac{17}{2} \\ \frac{122,825}{8} \\ \\ answer \: is \: 15,353.125$