Question

The VALUE of a car depricated each year by 15% pof its value at the beginning of the year. If a brand new costs 56000$ in 2010, find its value in year 2013

Answer 1

The VALUE of a car depricated each year by 15% pof its value at the beginning of the year. If a brand new costs 56000$ in 2010, find its value in year 2013
Answer is rs. 5000

Answer 2

The value of car in 2010 is Rs.120000

Step-by-step explanation:

Let the value of car in 2010 be x

We are given that Every year the value of a car depreciates by 15% of its value

So, Value of car in 2011 =x- 15\%x= x-0.15x=0.85xx−15%x=x−0.15x=0.85x

Value of car in 2012 = 0.85x-15\%(0.85x)=0.85x-0.15(0.85x)=0.7225x0.85x−15%(0.85x)=0.85x−0.15(0.85x)=0.7225x

We are given that the value of car in 2012 is Rs. 86700

So, 0.7225x=867000.7225x=86700

x=\frac{86700}{0.7225}x=

0.7225

86700

x=120000

Hence The value of car in 2010 is Rs.120000