Advertisements
Advertisements
Question
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
Advertisements
Solution
Purchase price = P \[\left( 1 - \frac{R}{100} \right)^{- n} \]
\[ \Rightarrow 43, 740 \left( 1 - \frac{10}{100} \right)^{- 3} \]
\[ = 43, 740 \left( 0 . 90 \right)^{- 3} \]
\[ = 60, 000\]
Thus, the purchase price of the machine was Rs 60, 000.
RELATED QUESTIONS
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 12800, Rate = \[7\frac{1}{2} %\], Time = 3 years
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 160000, Rate = 10 paise per rupee per annum compounded half-yearly, Time = 2 years.
At what rate percent will a sum of Rs 1000 amount to Rs 1102.50 in 2 years at compound interest?
The compound interest on Rs 1800 at 10% per annum for a certain period of time is Rs 378. Find the time in years.
There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9261, what it was 3 years ago?
The population of a certain city was 72000 on the last day of the year 1998. During next year it increased by 7% but due to an epidemic it decreased by 10% in the following year. What was its population at the end of the year 2000?
Jitendra set up a factory by investing Rs 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.
Ms. Cherian purchased a boat for Rs 16000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.
Gautam takes a loan of ₹ 16,000 for 2 years at 15% p.a. compound interest. He repays ₹ 9,000 at the end of the first year. How much must he pay at the end of the second year to clear the debt?
The cost of a sewing machine is Rs 7,000. Its value depreciates at 8% p.a. Then the value of the machine after 2 years is Rs 5,924.80.
