Question

The value of a machine costing$80000$ depreciates at the rate of$15\%$ per annum. What will be the worth of this machine after$3$ days?

Answer 1

Find the worth of the machine after$3$ days.

Principal $=80,000$, Time $=3$days, Rate $=15\%$per annum

Step1: Find the deduction of the amount.

Deduction amount$=\mathrm{P}\times \mathrm{R}\times \mathrm{T}$

$$\begin{gathered} =80,000\times \frac{15}{100}\times \frac{3}{365} \\ =98.63 \end{gathered}$$

$\therefore$Deduction amount is$₹98.63$

Step2:Find the final amount

The final amount after deduction $=80,000–98.63$

$=₹79,901.37$

Hence, the value of the machine after$3$ days is $₹79,901.37$.