R d sharma solutions mathematics class 8 Solutions for Chapter 14 compound interest

Find the compound interest when principal = Rs 3000, rate = 5% per annum andtime = 2 years.

What will be the compound interest on Rs. 4000 in two years when rate ofinterest is 5% per annum?

Rohit deposited Rs. 8000 with a finance company for 3 years at an interest of 15%per annum. What is the compound interest that Rohit gets after 3 years?

Find the compound interest on Rs. 1000 at the rate of 8% per annum for 1 ½years when interest is compounded half yearly.

Find the compound interest on Rs. 160000 for one year at the rate of 20% perannum, if the interest is compounded quarterly.

Swati took a loan of Rs. 16000 against her insurance policy at the rate of 12 ½ %per annum. Calculate the total compound interest payable by Swati after 3 years

Roma borrowed Rs. 64000 from a bank for 1 ½ years at the rate of 10% perannum. Compare the total compound interest payable by Roma after 1 ½ years, ifthe interest is compounded half-yearly.

Mewa lal borrowed Rs. 20000 from his friend Rooplal at 18% per annum simpleinterest. He lent it to Rampal at the same rate but compounded annually. Find hisgain after 2 years.

Find the compound interest on Rs. 8000 for 9 months at 20% per annum compounded quarterly.

Find the compound interest at the rate of 10% per annum for two years on that principal which in two years at the rate of 10% per annum given Rs. 200 as simple interest.

Find the compound interest on Rs. 64000 for 1 year at the rate of 10% perannum compounded quarterly.

Ramesh deposited Rs. 7500 in a bank which pays him 12% interest per annumcompounded quarterly. What is the amount which he receives after 9 months.

Anil borrowed a sum of Rs. 9600 to install a hand pump in his dairy. If the rateof interest is 5 ½ % per annum compounded annually, determine the compoundinterest which Anil will have to pay after 3 years.

Surabhi borrowed a sum of Rs. 12000 from a finance company to purchase a refrigerator. If the rate of interest is 5% per annum compounded annually, calculate the compound interest that Surabhi has to pay to the company after 3 years

Kamala borrowed from Ratan a certain sum at a certain rate for two yearssimple interest. She lent this sum at the same rate to Hari for two years compoundinterest. At the end of two years she received Rs. 210 as compound interest, but paidRs. 200 only as simple interest. Find the sum and the rate of interest.

Daljit received a sum of Rs. 40000 as a loan from a finance company. If the rate of interest is 7% per annum compounded annually, calculate the compound interest that Daljit pays after 2 years.

Compute the amount and the compound interest in each of the following by usingthe formulae when :

(i)Principal = Rs 3000, Rate = 5%, Time = 2 years

(ii)Principal = Rs 3000, Rate = 18%, Time = 2 years

(iii)Principal = Rs 5000, Rate = 10 paise per rupee per annum, Time = 2 years

(iv)Principal = Rs 2000, Rate = 4 paise per rupee per annum, Time = 3 years

(v)Principal = Rs 12800, Rate = 7 ½ %, Time = 3 years

(vi)Principal = Rs 10000, Rate = 20% per annum compounded half-yearly, Time =2 years

(vii)Principal = Rs 160000, Rate = 10 paise per rupee per annum compounded halfyearly, Time = 2 years

Find the principal if the interest compounded annually at the rate of 10% for twoyears is Rs. 210.

Find the amount of Rs. 2400 after 3 years, when the interest is compoundedannually at the rate of 20% per annum.

Rahman lent Rs. 16000 to Rasheed at the rate of 12 ½ % per annum compoundinterest. Find the amount payable by Rasheed to Rahman after 3 years.

A sum amounts to Rs. 756.25 at 10% per annum in 2 years, compoundedannually. Find the sum.

Meera borrowed a sum of Rs. 1000 from Sita for two years. If the rate of interestis 10% compounded annually, find the amount that Meera has to pay back.

What sum will amount to Rs. 4913 in 18 months, if the rate of interest is 12 ½ %per annum, compounded half-yearly?

The difference between the compound interest and simple interest on a certainsum at 15% per annum for 3 years is Rs. 283.50. Find the sum.

Find the difference between the compound interest and simple interest. On a sumof Rs. 50,000 at 10% per annum for 2 years.

Amit borrowed Rs. 16000 at 17 ½ % per annum simple interest. On the same day,he lent it to Ashu at the same rate but compounded annually. What does he gain atthe end of 2 years?

Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at theend of two years Rs. 1290 as interest compounded annually, find the sum sheborrowed.

Find the amount of Rs. 4096 for 18 months at 12 ½ % per annum, the interestbeing compounded semi-annually.

The interest on a sum of Rs. 2000 is being compounded annually at the rate of 4%per annum. Find the period for which the compound interest is Rs. 163.20.

In how much time would Rs. 5000 amount to Rs. 6655 at 10% per annum compound interest?

Find the amount and the compound interest on Rs. 8000 for 1 ½ years at 10% per annum, compounded half-yearly.

In what time will Rs. 4400 become Rs. 4576 at 8% per annum interest compounded half-yearly?

Kamal borrowed Rs. 57600 from LIC against her policy at 12 ½ % per annum to build a house. Find the amount that she pays to the LIC after 1 ½ years if the interest is calculated half-yearly.

Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs. 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one year and a half.

The difference between the S.I. and C.I. on a certain sum of money for 2 years at4% per annum is Rs. 20. Find the sum.

In what time will Rs. 1000 amount to Rs. 1331 at 10% per annum, compoundinterest?

Rakesh lent out Rs. 10000 for 2 years at 20% per annum, compounded annually.How much more he could earn if the interest be compounded half-yearly?

At what rate percent compound interest per annum will Rs. 640 amount to Rs.774.40 in 2 years?

Romesh borrowed a sum of Rs. 245760 at 12.5% per annum, compoundedannually. On the same day, he lent out his money to Ramu at the same rate ofinterest, but compounded semi-annually. Find his gain after 2 years.

Find the rate percent per annum if Rs. 2000 amount to Rs. 2662 in 1 ½ years,interest being compounded half-yearly?

Find the amount that David would receive if he invests Rs. 8192 for 18 months at12 ½ % per annum, the interest being compounded half-yearly.

Find the compound interest on Rs. 15625 for 9 months, at 16% per annum,compounded quarterly.

Find the rate percent per annum, if Rs. 2000 amount to Rs. 2315.25 in a yearand a half, interest being compounded six monthly.

Rekha deposited Rs. 16000 in a foreign bank which pays interest at the rate of20% per annum compounded quarterly, find the interest received by Rekha afterone year

Find the rate at which a sum of money will double itself in 3 years, if the interestis compounded annually.

Find the amount of Rs. 12500 for 2 years compounded annually, the rate ofinterest being 15% for the first year and 16% for the second year.

Find the rate at which a sum of money will become four times the original amount in 2 years, if the interest is compounded half-yearly.

Ramu borrowed Rs. 15625 from a finance company to buy scooter. If the rate ofinterest be 16% per annum compounded annually, what payment will he have tomake after 2 ¼ years?

What will Rs. 125000 amount to at the rate of 6%, if the interest is calculatedafter every four months?

A certain sum amounts to Rs. 5832 in 2 years at 8% compounded interest. Find the sum.

Find the compound interest at the rate of 5% for three years on that principalwhich in three years at the rate of 5% per annum gives Rs. 12000 as simple interest.

The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs. 360. Find the sum.

The difference in simple interest and compound interest on a certain sum ofmoney at 6 2/3 % per annum for 3 years in Rs. 46. Determine the sum.

A sum of money was lent for 2 years at 20% compounded annually. If theinterest is payable half-yearly instead of yearly, then the interest is Rs. 482 more.Find the sum.

Simple interest on a sum of money for 2 years at 6 ½ % per annum is Rs. 5200.What will be the compound interest on the sum at the same rate for the sameperiod?

Ishita invested a sum of Rs. 12000 at 5% per annum compound interest. Shereceived an amount of Rs. 13230 after n years. Find the value of n.

What will be the compound interest at the rate of 5% per annum for 3 years onthat principal which in 3 years at the rate of 5% per annum gives Rs. 1200 as simpleinterest.

At what rate percent per annum will a sum of Rs. 4000 yield compound interestof Rs. 410 in 2 years?

A sum of money deposited at 2% per annum compounded annually becomes Rs.10404 at the end of 2 years. Find the sum deposited.

In how much time will a sum of Rs. 1600 amount to Rs. 1852.20 at 5% perannum compound interest?

At what rate percent will a sum of Rs. 1000 amount to Rs. 1102.50 in 2 years at compound interest?

The compound interest on Rs. 1800 at 10% per annum for a certain period oftime is Rs. 378. Find the time in years.

What sum of money will amount to Rs. 45582.25 at 6 ¾ % per annum in twoyears, interest being compounded annually?

Sum of money amounts to Rs. 453690 in 2 years at 6.5% per annumcompounded annually. Find the sum.

On what sum will the compound interest at 5% per annum for 2 yearscompounded annually be Rs 164?

The present population of a town is 28000. If it increases at the rate of 5% perannum, what will be its population after 2 years?

The population of a city is 125000. If the annual birth rate and death rate are5.5% and 3.5% respectively, calculate the population of city after 3 years.

The present population of a town is 25000. It grows at 4%, 5% and 8% duringfirst year, second year and third year respectively. Find its population after 3 years.

Three years ago, the population of a town was 50000. If the annual increaseduring three successive years be at the rate of 4%, 5% and 3% respectively, find thepresent population.

There is a continuous growth in population of a village at the rate of 5% perannum. If its present population is 9261, what it was 3 years ago?

In a factory the production of scooters rose to 46305 from 40000 in 3 years. Findthe annual rate of growth of the production of scooters.

The annual rate of growth in population of a certain city is 8%. If its presentpopulation is 196830, what it was 3 years ago?

The population of a town increases at the rate of 50 per thousand. Its populationafter 2 years will be 22050. Find its present population.

The count of bacteria in a culture grows by 10% in the first hour, decreases by8% in the second hour and again increases by 12% in the third hour. If the count ofbacteria in the sample is 13125000, what will be the count of bacteria after 3 hours

The population of a certain city was 72000 on the last day of the year 1998.During next year it increased by 7% but due to an epidemic it decreased by 10% inthe following year. What was its population at the end of the year 2000?

11.6400 workers were employed to construct a river bridge in four years. At theend of the first year, 25% workers were retrenched. At the end of the second year,25% of those working at that time were retrenched. However, to complete theproject in time, the number of workers was increased by 25% at the end of the thirdyear. How many workers were working during the fourth year?

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 of10% which in the third year rose to 12%. Calculate his net profit for the entireperiod of three years.

The population of a town increases at the rate of 40 per thousand annually. Ifthe present population be 175760, what was the population three years ago.

The population of a mixi company in 1996 was 8000 mixies. Due to increase indemand it increases its production by 15% in the next two years and after two yearsits demand decreases by 5%. What will its production after 3 years?

The population of a city increases each year by 4% of what it had been at thebeginning of each year. If the population in 1999 had been 6760000, find thepopulation of the city in (1) 2001 (ii) 1997.

Jitendra set up a factory by investing Rs. 2500000. During the first twosuccessive years his profits were 5% and 10% respectively. If each year the profitwas on previous year’s capital, compute his total profit.

Ms. Cherian purchases a boat for Rs. 16000. If the total cost of the boat isdepreciating 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. What will beits value 2 years hence, if the present value is Rs 100000? Also, find the totaldepreciation during this period.

Pritam bought a plot of land for Rs. 640000. Its value is increasing by 5% of itsprevious value after every six months. What will be the value of the plot after 2years?

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.

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.

The value of a refrigerator which was purchased 2 years ago, depreciates at 12%per annum. If its present value is Rs. 9680, for how much was it purchased?

The cost of a T.V. set was quoted Rs. 17000 at the beginning of 1999. In thebeginning of 2000 the price was hiked by 5%. Because of decrease in demand thecost was reduced by 4% in the beginning of 2001. What was the cost of the T.V. setin 2001?

Ashish started the business with an initial investment of Rs. 500000. In the firstyear he incurred a loss of 4%. However during the second year he earned a profit of5% which in third year rose to 10%. Calculate the net profit for the entire period of 3 years.