Selina solutions concise maths class 9 icse Solutions for Chapter 3 chapter 3 compound interest using formula

What sum of money will amount to Rs. 5445 in 2 years at 10% per annum compound interest?

Find the sum on which the compound interest for 3 years at 10% per annum amounts to Rs. 1655.

What principal will amount to Rs. 9856 in two years, if the rates of interest for successive years are 10% and 12% respectively?

On a certain sum, the compound interest in 2 years amounts to Rs.4240. If the rates of interest for successive years are 10% and 15% respectively, find the sum.

At what rate per cent compound interest, does a sum of money become 1.44 times of itself in 2 years?

A person invests Rs. 5000 for three years at a certain tare of interest compounded annually. At the end of two years this sum amounts to Rs. 6272. Calculate:

(i) The rate of interest per annum

(ii) The amount at the end of the third year.

In how many years will Rs7000 amount to Rs. 9317 at 10 per cent per annum compound interest?

Find the time in years, in which Rs. 4000 will produce Rs. 630.50 as compound interest at 5% p.a. interest being compounded annually.

Divide Rs.28730 between A and B so that when their shares are lent out at 10 per cent compound interest compounded per year, the amount that A receives in 3 years is the same as what B receives in 5 years.

The simple interest on a certain sum of money at 10% per annum is Rs. 6000 in 2 years. Find:

(i) The sum.

(ii) The amount due at the end of 3 years and at the same rate of interest compounded annually.

(iii) The compound interest earned in 3 years.

A sum of money, invested at compound interest, amounts to Rs.19360 in 2 years and to Rs.23425.60 in 4 years. Find the rate per cent and the original sum of money.

On what sum of money will compound interest (payable annually) for 2 years be the same as simple interest on Rs. 9430 for 10 years, both at the rate of 5 percent per annum?

Kamal and Anand each lent the same sum of money for 2 years at 5% at simple interest and compound interest respectively. Anand received Rs.15more than Kamal. Find the amount of money lent by each and the interest received.

Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 percent per annum by Rs.228. Find the sum.

Compound interest on a certain sum of money at 5% per annum for two years is Rs.246. Calculate simple interest on the same sum for 3 years at 6% per annum.

Mohit borrowed a certain sum at 5% per annum compound interest and cleared this loan by paying Rs. 12600 at the end of the first year and Rs. 17640 at the end of the second year. Find the sum borrowed.

If the interest is compounded half-yearly, calculate the amount when principal is Rs.7400; the rate of interest is 5% per annum and the duration is one year.

Find the difference between the compound interest compounded yearly and half-yearly on Rs.10000 for 18 months at 10% per annum.

Ashok invests a certain sum of money at 20% per annum, compounded yearly.

Geeta invests an equal amount of money at the same rate of interest per annum compounded half-yearly. If Geeta gets Rs.33 more than Ashok in 18 Months, calculate the money invested.

In what time will Rs.1500 yield Rs.496.50 as compound interest at 20% per year compounded half yearly?

Calculate the C.I. on Rs.3500 at 6% per annum for 3 years, the interest being compounded half-yearly.

Do not use mathematical tables. Use the necessary information from the following:

(1.06)3= 1.191016;

(1.03)3= 1.092727;

(1.06)6= 1.418519;

(1.03)6= 1.194052;

Write the mathematical form of Newton’s second law of motion. State condition if any.

Find the difference between compound interest and simple interest on Rs.12000 and in 1 1/2 years at 10% p.a. compounded half-yearly.

A body of mass 500g, initially at rest, is acted upon by a force which causes it to move a distance of 4m in 2s, Calculate the force applied.

Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 1 year, if the interest is reckoned half-yearly.

The cost of a machine is supposed to depreciate each year by 12% of its value at the beginning of the year. If the machine is valued at Rs.44000 at the beginning of 2008, find its value:

(i) At the end of 2009.

(ii) At the beginning of 2007.

The value of an article decreased for two years at the rate of 10% per year and then in the third year it increased by 10%. Find the original value of the article, if its value at the end of 3 years is Rs.40095.

According to a census taken towards the end of the year 2009, the population of a rural town was found to be 64000. The census authority also found that the population of this particular town had a growth of 5% per annum. In how many years after 2009 did the population of this town reach 74088?

The population of a town decreased by 12% during 1998 and then increased by 8% during 1999. Find the population of the town, at the beginning of 1998, if at the end of 1999 its population was 285120

A sum of money, invested at compound interest, amounts to Rs.16500 in 1 year and to Rs.19965 in 3 years. Find the rate per cent and the original sum of money invested.

The difference between C.I. and S.I. on Rs.7500for two years is Rs. 12 at the same rate of interest per annum. Find the rate of interest.

Mr. Sharma borrowed a certain sum of money at 10% per annum compounded annually. If by paying Rs.19360 at the end of the second year and Rs. 31944 at the end of the third year he clears the debt; find the sum borrowed by him.

The difference between compound interest for a year payable halfyearly and simple interest on a certain sum of money lent out at 10% for a year is Rs.15. Find the sum of money lent out.

Find the difference between compound interest and simple interest on Rs.12000 and in 1 1/2 years at 10% p.a. compounded yearly.

The ages of Pramod and Rohit are 16 years and 18 years respectively. In what ratio must they invest money at 5% p.a. compounded yearly so that both get the same sum on attaining the age of 25 years?

Find the compound interest to the nearest rupee on Rs.10800 for 2 1/2 years at 10% per annum.

A sum of money was invested for 3 years, interest being compounded annually. The rates for successive years were 10%, 15%and 18% respectively. If the compound interest for the second year amounted to Rs.4950, find the sum invested.

Rohit borrows Rs.86000 from Arun for two years at 5% per annum simple interest. He immediately lends out this money to Akshay at 5% compound interest compounded annually for the same period.

Calculate Rohit’s profit in the transaction at the end of two years.

The simple interest on a certain sum of money for 3 years at 5% per annum is Rs.1200 Find the amount due and the compound interest on this sum of money at the same rate and after 2 years, interest is reckoned annually.

Nikita invests Rs.6000 for two years at a certain rate of interest compounded annually. At the end of the first year it amounts to Rs.6720. Calculate:

(i) The rate of Interest.

(ii) The amount at the end of the second year.