Advertisements
Advertisements
Question
A principal amounts to ₹ 13,924 in 2 years by compound interest at 18 p.c.p.a. Find the principal.
Solution
Here, P × Principal
A = ₹ 13,924
R = 18 %
N = 2 years
A = P `(1 + "R"/100)^"N"`
∴ 13,924 = P `(1 + 18/100)^2`
∴ 13,924 = P `(1 + 9/50)^2`
∴ 13,924 = P `(59/50)^2`
∴ P = `(13,924 xx 50 xx 50)/(59 xx 59)`
∴ P = 10,000
Hence, the principal is ₹ 10,000.
RELATED QUESTIONS
Compute the amount and the compound interest in the following by using the formulae when:
Principal = Rs 2000, Rate = 4 paise per rupee per annum, Time = 3 years
The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.
The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?
The population of a town increases at the rate of 40 per thousand annually. If the present population be 175760, what was the population three years ago.
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?
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.
Mohan purchased a house for Rs 30000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 3 years.
In a forest there are 40,000 trees. Find the expected number of trees after 3 years if the objective is to increase the number at the rate 5% per year.
Find the amount and the compound interest on ₹ 10,000 in 3 years, if the rates of interest for the successive years are 10%, 15%, and 20% respectively.
The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6,31,680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?
