Advertisements
Advertisements
Question
The production of a mixi company in 1996 was 8000 mixies. Due to increase in demand it increases its production by 15% in the next two years and after two years its demand decreases by 5%. What will be its production after 3 years?
Solution
Production after three years = P \[\left( 1 + \frac{R_1}{100} \right)^2 \left( 1 - \frac{R_2}{100} \right)\]
\[ = 8, 000 \left( 1 + \frac{15}{1, 000} \right)^2 \left( 1 - \frac{5}{100} \right)\]
\[ = 8, 000 \left( 1 . 15 \right)^2 \left( 0 . 95 \right)\]
\[ = 10, 051\]
Thus, the production after three years will be 10, 051.
APPEARS IN
RELATED QUESTIONS
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would be its population in 2005?
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.
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.
The population of a city is 125000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of city after 3 years.
Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.
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.
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.
A principal amounts to ₹ 13,924 in 2 years by compound interest at 18 p.c.p.a. Find the principal.
In the year 2001, the number of malaria patients admitted in the hospitals of a state was 4,375. Every year this number decreases by 8%. Find the number of patients in 2003.