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# The cost price of a car is $Rs.4,00,000$. If its price decreases by 10% every year, then when will the car cost after 3 years?a) $Rs.3,00,000$b) $Rs.2,91,700$c) $Rs.2,91,600$d) $Rs.2,50,000$

Last updated date: 24th Jun 2024
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Hint: Firstly, calculate the 10% of base cost price and subtract it from the cost price so it will be the base price
of the car after 1 year. And so now, calculate the 10% of that base cost price.
Similarly, proceed for the third year also and finally, the cost price after the third year will be obtained.

Given the cost price of a car is $Rs.4,00,000$
$\Rightarrow$ $400000 \times \dfrac{{10}}{{100}} = 40000$
Nor, cost price after one year will be decreased by 10% and so that the amount will be $\Rightarrow$ $400000 - 40000 = 360000$
Now, the depreciated value of a car after one year is $Rs.3,60,000$.
At the end of the second year again 10% of its value is depreciated, which will be $\begin{array}{l} = 360000 - 360000\left( {\dfrac{{10}}{{100}}} \right)\\ = 360000 - 36000\\ = 324000\end{array}$
$\begin{array}{l} = 324000 - 324000\left( {\dfrac{{10}}{{100}}} \right)\\ = 324000 - 32400\\ = 291600\end{array}$
$\begin{array}{l}y \to 100.\\? \to \left( x \right)\end{array}$