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
The annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?
6400 workers were employed to construct a river bridge in four years. At the end of the first year, 25% workers were retrenched. At the end of the second year, 25% of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by 25% at the end of the third year. How many workers were working during the fourth year?
The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997.
Pritam bought a plot of land for Rs 640000. Its value is increasing by 5% of its previous value after every six months. What will be the value of the plot after 2 years?
Sameerrao has taken a loan of ₹ 12500 at a rate of 12 p.c.p.a. for 3 years. If the interest is compounded annually, then how many rupees should he pay to clear his loan?
On the construction work of a flyover bridge there were 320 workers initially. The number of workers were increased by 25% every year. Find the number of workers after 2 years.
The cost price of a machine is 2,50,000. If the rate of depreciation is 10% per year, find the depreciation in price of the machine after two years.
Find the difference between simple interest and compound interest on ₹ 20000 at 8 p.c.p.a.
