MATHEMATICS [4 marks sum]

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.

A machine depreciates each year at 8% of its value in the beginning of the year. If its value be ₹ 57500 at the end of the year 2015, find:
(i) its value at the end of the year 2014,
(ii) its value at the end of the year 2016.

A refrigerator was purchased one year ago for ₹20000. Its value depreciates at the rate of 15% per annum. Find:
(i) its present value,
(ii) its value after 1 year.

Calculate the amount and the compound interest on ₹ 25000 for 3 years, the rates of interest for the successive years being 8%, 9% and 10%, compounded annually.

A certain sum of money amounts to ₹ 7260 in 2 years and to ₹ 7986 in 3 years, interest being compounded annually. Find the rate per cent per annum.

At what rate per cent per annum compound interest will ₹ 6250 amount to ₹ 7290 in 2 years?

A machine depreciates each year at 8% of its value in the beginning of the year. If its value be ₹ 57500 at the end of the year 2015, find:
(i) its value at the end of the year 2014, (ii) its value at the end of the year 2016.

A refrigerator was purchased one year ago for ₹ 20000. Its value depreciates at the rate of 15% per annum. Find:
(i) its present value, (ii) its value after 1 year.

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.

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?

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.

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.

A certain sum of money amounts to ₹ 7260 in 2 years and to ₹ 7986 in 3 years, interest being compounded annually. Find the rate per cent per annum.

At what rate per cent per annum compound interest will ₹ 6250 amount to ₹ 7290 in 2 years?

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 difference between the simple interest and the compound interest on a sum of money for 2 years at 12% per annum is ₹ 216. Find the sum.

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

How much will ₹ 12000 amount to in 2 years at compound interest, the rates of interest for the successive years being 10% and 11% respectively?

Calculate the amount of ₹ 30000 at the end of 2 years 4 months, compounded annually at 10% per annum.

A man borrows ₹ 15000 at 12% per annum, compounded annually. If he repays ₹ 4400 at the end of each year, find the amount outstanding against him at the beginning of the third year.