Compound Interest MATHEMATICS - Compound Interest

Find the amount and the compound interest on ₹ 7500 for 2 years 8 months at 10% p.a., compounded annually

On what sum of money will the compound interest for 2 years at 8% per annum be ₹7488?

The simple interest on a sum of money at 12% per annum for 1 year is ₹ 900 . Find :
(i) the sum of money and
(ii) the compound interest on this sum for 1 year, payable half-yearly at the same rate.

The count of bacteria in a culture grows by 10% during first hour, decreases by 8% during second hour and again increases by 12% during third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?

A mango tree was planted 2 years ago. The rate of its growth is 20% per annum. If at present, the height of the tree is 162 cm, what it was when the tree was planted?

The population of a town is increasing at the rate of 10% per annum. If its present population is 36300, find:
(i) its population after 2 years,
(ii) its population 2 years ago.

The value of a machine depreciates 10% annually. Its present value is ₹64800. Find:
(i) its value after 2 years,
(ii) its value 2 years ago.

Amit started a shop by investing ₹500000. 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.

Two years ago, the population of a village was 4000. During next year it increased by 6% but due to an epidemic, it decreased by 5% in the following year. What is its population now?

The population of a town is 64000. If the annual birth rate is 11.7% and the annual death rate is 4.2%, calculate the population of the town after 3 years.

A farmer has an increase of 12.5% in the output of wheat in his farm every year. This year, he produced 2916 quintals of wheat. What was his annual production of wheat 2 years ago?

The present population of a town is 176400. If the rate of growth in its population is 5% per annum, find:
(i) its population 2 years hence,
(ii) its population one year ago.

Three years ago, the population of a city was 50000. If the annual increase during three successive years be 5%, 8% and 10% respectively, find the present population of the city.

A town has 15625 inhabitants. If the population of this town increases at the rate of 4% per annum, find the number of inhabitants of the town at the end of 3 years.

The difference between the compound interest for 1 year, compounded half-yearly and the simple interest for 1 year on a certain sum of money at 10% per annum is ₹360. Find the sum.

The difference between the simple interest and the compound interest on a sum of money for 3 years at 10% per annum is ₹558. Find the sum.

The value of a machine depreciates every year at a constant rate. If the values of the machine in 2006 and 2008 are ₹25,000 and ₹19,360 respectively, then the annual rate of depreciation is:

A machine depreciates at the rate of 12% of its value at the beginning of a year. The machine was purchased for ₹ 10,000 and is sold for ₹7,744. The number of years, that the machine was used is:

The present population of a town is 2,00,000. The population will increase by 10% in the first year and 15% in the second year. The population of the town after two years will be:

A machine depreciates at the rate of 10% of its value at the beginning of a year. If the present value of a machine is ₹8000, its value after 3 years will be:

In what time will ₹5000 amount to ₹5832 at 8% rate of compound interest p.a.?