The present price of a Television is Rs. 40,000. It its price reduces every year by 10% after how many years its price will be Rs. 29, 160? find it.
To find out how many years it will take for the price of the television to be Rs. 29,160, we need to calculate the price reduction per year until it reaches that price.
Let's assume n represents the number of years it will take.
The price of the television decreases by 10% every year, which means it will be equal to 90% (or 0.9) of its previous year's price.
So, the equation to represent this situation is: (0.9)^n * 40000 = 29160.
Dividing both sides of the equation by 40000, we get:
(0.9)^n = 29160 / 40000
Simplifying the right side, we have:
(0.9)^n = 0.729
To solve for n, we need to take the logarithm of both sides of the equation.
log((0.9)^n) = log(0.729)
Using the property of logarithms, we can bring down the exponent:
n * log(0.9) = log(0.729)
Dividing both sides of the equation by log(0.9), we find:
n = log(0.729) / log(0.9)
Using a calculator, we can evaluate the right side of the equation:
n ≈ 5.29
Therefore, it will take approximately 5.29 years for the price of the television to reach Rs. 29,160.