#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

#### Frank Frank Class 10 Mathematics Part 2

## Chapter 1: Compound Interest

#### Chapter 1: Compound Interest Exercise Exercise 1.1 solutions [Pages 5 - 6]

Calculate the amount and the compound interest for the following:

Rs. 7500 at 12% p.a. in 3 years.

Calculate the amount and the compound interest for the following:

Rs.13,500 at 10°10 p.a. in 2 years

Calculate the amount and the compound interest for the following:

Rs.17,500 at 12°10 p.a. in 3 years

Calculate the amount and the compound interest for the following:

Rs.23,7 50 at 12°/o p.a. in `2 1/2` years

Calculate the amount and the compound interest for the following:

Rs.30,000 at 8°/o p.a. in `2 1/2` years

Calculate the amount and the compound interest for the following:

Rs.10,000 at 8°/o p.a. in `2 1/4` years

Calculate the amount and the compound interest for the following:

Rs.20, 000 at9°/o p.a. in `2 1/3` years

Calculate the amount and the compound interest for the following:

Rs.25, 000 at `8 2/5 %` p.a. in `1 1/3` years

Calculate the amount and the compound interest for the following:

Rs.40, 000 at `5 1/4` % p.a. in `1 1/3` years

Calculate the amount and the compound interest for the following:

Rs. 76, 000 at 10 °/o p.a. in `2 1/2` years

Calculate the amount and the compound interest for the following:

Rs.22, 500 at 12 °/o p.a. in `1 3/4` years

Calculate the amount and the compound interest for the following:

Rs.16, 000 at 15 °/o p.a. in `2 2/3` years

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.

Find the sum due at the end of the first year.

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.

Find the sum due at the end of the second year.

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.

Find the compound interest earned in the first two years.

A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.

Find the compound interest earned in the last year.

Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,

Find the amount at the end of the second year.

Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest ,

Find the amount at the end of third year.

Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,

Find the interest earned in the third year.

Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,

Calculate the interest for the fourth year.

Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interesL

Find he tol interest paid by him.

Aryan borrowed a sum or Rs. 36,000 for `1 1/2` years at 10 % p.a. compound interest.

Find the amount he needs to return to clear the debt.

Ameeha loaned Rs. 24,000 to a friend for `2 1/2` at 10 % p.a. compond interest.

Calculate the interest earned by Ameesha

Ameeha loaned Rs. 24,000 to a friend for `2 1/2` at 10 % p.a. compond interest.

Calculate the amount received by her at the end of time period.

Harijyot deposited Rs 27500 in a deposite scheme paying 12 % p.a. compound interest . If the duration of the deposite is 3 years , calculate :

The amount received by him at the end of three years.

Harijyot deposited Rs 27500 in a deposite scheme paying 12 % p.a. compound interest . If the duration of the deposite is 3 years , calculate :

The compound inrerest received by him.

Harijyot deposited Rs 27500 in a deposite scheme paying 12 % p.a. compound interest . If the duration of the deposite is 3 years , calculate :

The amount received by him had he chosen tlle duration of the deposit to be 2 years.

Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.

Calculate to the nearest rupee :

The amount Natasha receives at the end of 3 years.

Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.

Calculate to the nearest rupee :

The Compound Interest paid by Nimish

Gayatri invested Rs.25,OOO for 3 years and 6 months in a bank which paid

1O % p.a- compound interest. Calculate the amount to the nearest.Ts-10, that she

received at the end of the period.

Prerna borrowed Rs.16000 from a friend at 15 % p.a. compound interest. Find the amount , to the nearest rupees, that she needs to return at the end of 2.4 years to clear the debt.

Shekhar had a fixed deposit of Rs 24000 for 3 years . If he received interest at 10% p.a compounded annually, find the amount received by him at the time of maturity.

Neha loaned Rs 27500 to a friend for 1 3/4 years at 8 % p.a. compound interest. Find the interest earned by her.

Prashant borrowe Rs. 35000 at 12% p.a. compounded semi-annually. Find the amount he needs to pay back at the end of `1 1/2` years

Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.

Pradeep gave Rs.16000 to a friend for 1.5 years at 15% p.a. compounded semi-annually. Find the interest earned by him at the end of 1.5 years.

Mr.Mohan invested Rs. 12500 at 16 % p.a. compounded annually. If the duration of the deposite was 1.5 years , find the amount Mr.Mohan received at the end of 1.5 years.

#### Chapter 1: Compound Interest Exercise Exercise 1.2 solutions [Page 8]

Calculate the amount and the compound interest for the following :

Rs. 12500 for 2 years at 8% for the first year and 10% for the second year.

Calculate The Amount and the Cornpound Interest for the Following:

Rs 15,000 for 2 years at 6°/o for the first year and 7°/o for tl1e second year.

Calculate the arnount and the cornpound interest for the following:

Rs 12,500 for 3 years at 12% for the first year, 15% for the second year and 17% for the third year.

Calculate the arnount and the cornpound interest for the following:

Rs 20,000 for 3 years at `7 1/2 %` for the first year, 8% for the second year and 10% for the third year.

Mohan borrowed Rs 25,000 at 10% p.a. compound interest. If he pays back Rs 7,500 every year, find the amount of loan outstanding at the beginning of the fourth year.

Rajan borrowed Rs 90,000 at 15% p.a. compound interest. If he repays Rs 35,000 at the end of each year, find the amount of loan outstanding at the beginning of the fourth year.

Pooja borrowed Rs 15,000 from Sonali at 11% p.a. compound interest. If she repays Rs 7,550 at the end of first year and Rs 6,101 at the end of second year, find the amount Pooja needs to give to Sonali at the end of third year to clear her debt.

Archana borrowed Rs 18,000 from Ritu at 12% p.a. compound interest. If at the end of the 1^{st}, 2^{nd}, and 3^{rd} years, Archana returned Rs 5,250, Rs 5,875 and Rs 6,875 respectively, find the amount Archana has to pay Ritu at the end of the 4^{th} year to clear her debt.

Rajeev borrowed Rs 15,000 from Sanjay at 12% p.a. compound interest. After 2 years Rajeev gave Rs 7,500 and a scooter to clear the account. Find the cost of the scooter.

Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.

Prakash borrowed Rs 10,000 from Rajesh for 2 years at 6% and 8% p.a. compound interest for successive years. If Prakash returns Rs 5,600 at the end of the first year, how much does he have to give to Rajesh at the end of the second year to clear the loan?

Meera borrowed Rs 12,500 on compound interest from Rajeev for 2 years when the rates of interest for successive years were 8% and 10%. If Meera returned Rs 7,500 at the end of the first year, find the amount she has to return at the end of the second year.

Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.

#### Chapter 1: Compound Interest Exercise Exercise 1.3 solutions [Page 10]

What sum of money will amount to Rs 9,447.84 in 3 years at 8% p.a. compound interest?

What sum of money will amount to Rs 16,637.50 in 3 years at 10 % p.a. compound interest?

What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?

What sum of money will amount to Rs 3,326.40 in 3 years at compound interest, if the rates of interest are 8%, 10% and 12% for the successive years?

What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?

Ramesh saves Rs 4,000 every year and invests it at 10% p.a. compound interest. Calculate his savings at the end of the third year.

Manoj saves Rs 5,000 every year and invests it at 12% p.a. compound interest. Calculate his savings at the end of the third year.

A man's savings increases by Rs 50 every year. If he saves Rs 500 in the first year and puts it at 10% compound interest, find his savings at the end of the third year.

Neena's savings increases by Rs 1,000 every year. If she saves Rs 4,000 in the first year and invests it at 15% compound interest, find her total savings at the end of the third year.

The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.

The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine as a single per cent during the three years.

The value of a scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 in the second year.

The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.

The value of a machine depreciates by 15% in the first year and by 12% in the second year. Find the value of the machine if its depreciation in the second year was Rs 1,632.

The value of a 'Honda' bike depreciated by 16% in the first year and by 13% in the second year. Find the value of the bike if it depreciated by Rs 7,098 in the second year.

#### Chapter 1: Compound Interest Exercise Exercise 1.4 solutions [Pages 12 - 13]

Mohan invested a certain sum at compound interest, compounded annually. If the interests for two successive years were Rs 600 and Rs 648, calculate the rate of interest and the sum invested.

The interests on two successive years for a sum invested at compound interest compounded annually are Rs 840 and Rs 940.80. Calculate the rate of interest and the sum invested.

The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.

The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.

A certain sum of money invested at compound interest compounded annually amounted to Rs 5,082 after 2 years and to Rs 5,590.20 after 3 years. Calculate the rate of interest and the sum invested.

A certain sum of money invested at compound interest compounded annually amounted to Rs 26,450 in 2 years and to Rs 30,417.50 in 3 years. Calculate the rate of interest and the sum invested.

Find the difference between the compound interest and the simple interest in 2 years on Rs 5,000 at 8% p.a. compounded annually.

Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.

Anand borrows Rs 20,000at 9 % p.a. simple interest for 3 years. He immediately gave it to Prakash at `8 1/2 %` p.a. compound interest compounded annually.

Find Anand's loss or gain.

Meera borrowed Rs 35,000 at 12.5% p.a. simple interest for 3 years. She immediately gave it to Archana at 12 % p.a. compound interest compounded annually. Find Meera's loss or gain at the end of 3 years.

The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate

the rate of depreciatlon

The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate

The original cost of the scooter.

The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate

The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :

The rate of depreciation.

The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :

The original cost.

The cost of a machine dep reciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :

The cost at the end of the fourth year.

#### Chapter 1: Compound Interest Exercise Exercise 1.5 solutions [Page 15]

Ramesh borrowed Rs 12,000 at 15% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 9,200 at the end of the second year, he cleared the loan. Calculate the amount of money Ramesh returned at the end of the first year.

Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year.

Find the sum invested at 8% p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 166.40.

Find the sum invested at `12 1/2` p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 531.25.

The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.

#### Chapter 1: Compound Interest Exercise Exercise 1.6 solutions [Pages 0 - 20]

Calculate the Amount and Cornpound Interest for the Following, when Cornpounded Annually:

Rs 12,000 for 3 years at 15 % p.a.

Calculate the amount and cornpound interest for the following, when cornpounded annually:

Rs 25,000 for 3 years at 8 % p.a.

Calculate the amount and cornpound interest for the following, when cornpounded annually:

Rs 16,000 for 3 years at `7 1/2` % p.a.

Calculate the amount and cornpound interest of the following, when cornpounded annually:

Rs 20,000 for 2 years at `12 1/2` % p.a.

Calculate the amount and cornpound interest for the following, when cornpounded annually:

Rs 8,000 for `1 1/2` years at 12 % p.a.

Calculate the amount and cornpound interest for the following, when cornpounded annually:

Rs 7 ,500 for `2 1/2` years ; r =16 % p.a.

Calculate the amount and the compound interest for the following, when cornpounded half-yearly:

Rs 6,000 for `1 1/2` years at 10 % p.a.

Calculate the amount and the compound interest for the following, when cornpounded half-yearly:

Rs 25,000 for `1 1/2` years at 12 %

Calculate the amount and the compouncl interest of the following:

Rs 9,125 for 2 years if tl1e rates of interest are 12% and 14 % for the successive years.

Calculate the amount and the compound interest for the following:

Rs 20,000 for 2 years if the rates of interest are `12 1/4` and `5 1/2` for the successive years.

Calculate the amount and the compound interest for the following:

Rs 12,500 for 3 years if the rates for the successive years are 8%, 9% and 10% respectively.

Calculate the amount and the compound interest for the following:

Rs 10,000 for 3 years if tl1e rates of interest are 10%, 11% and 12% for the successive years.

Find the difference betlween the compound interest compounded yearly and half-yearly for the following:

Rs 15,000 for `1 1/2` years at 12 % p.a.

Find the difference between the compound interest compounded yearly and half-yearly for the following:

Rs 20,000 for `1 1/2` years at 16 % p.a.

What sum of money will amount to Rs 8,073 in 2 years at compound interest if the rates of interest for the successive years are 15% and 17%?

Find the principal which will amount to Rs 22,344 in 2 years at compound interest if the rates of interest for the successive years are 12% and 14%?

What sum of money will amount to Rs 10,256.40 in 3 years at compound interest if the rates of interest for the successive years are 10%, 11% and 12%?

What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?

What sum of money will amount to Rs 15,746.40 at 16% p.a. compounded half-yearly?

On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?

On what sum of money will the compound interest for `2 1/2` years at 12% per annum amount to Rs 8,241.60?

On what sum of money will the compound interest for `2 1/2` years at `12 1/2`% per annum amount to Rs 82,734.37?

On what sum of money will the compound interest for `1 1/2` years at 16% p.a. compounded half-yearly amount to Rs 649.28?

On what sum of money will the compound interest for 2 years at 10% p.a. compounded half-yearly amount to Rs 3,448.10?

Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.

Calculate the rate percent at which Rs 15,000 will yield Rs 8,413.44 as compound interest in 3 years.

Calculate the rate per cent at which Rs 16,000 will yield Rs 3,876.75 as compound interest in 3 years.

In what time will Rs 8,000 amount to Rs 12,167 at 15% per annum compounded annually?

In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?

On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?

On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?

A sum of money placed at compound interest compounded annually amounts to Rs 47,610 in 2 years and to Rs 54,751.50 in 3 years. Calculate the rate of interest and the sum.

A sum of money placed at compound interest compounded annually amounts to Rs 31,360 in 2 years and to Rs 35,123.20 in 3 years. Calculate the rate of interest and the sum.

A sum of money placed at compound interest compounded annually amounts to Rs 26,460 in 2 years and to Rs 29,172.15 in 4 years. Calculate the rate of interest and the sum.

The compound interest on a certain sum of money at 5% p.a. for 2 years is Rs 512.50. What will be the simple interest on the same sum for 3 years at 6% p.a.?

The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?

#### Chapter 1: Compound Interest Exercise Exercise 1.7 solutions [Pages 25 - 26]

The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.

The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.

The population of a village increases at the rate of 50 per thousand. Its population after 2 years will be 22,050. Find the present population.

In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.

The present population of a town is 1, 15200.If it increases at the rate of `6 2/3`% per annum , find

Its population after 2 years

The present population of a town is 1,

0/o per annum 1, 15,200. If it increases at the rate of `6 2/3` % per annum find

Its population 2 years ago.

A machine was purchased 2 years ago. Its value decreases by 10% every year. Its present value is Rs 19,083.60. For how much money was the machine purchased?

The population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.

Under the electrification programme of villages, the number of villages with electricity rose to 27,040 from 25,000 in 2 years. Find the rate of growth in the number of villages with electricity.

A new car is purchased for Rs 4, 00,000 .Its value depreciates at the rate of 10% per annum. What will be its value after 4 years?

The value of a property decreases every year at the rate of 5%. If its value at the end of 3 years be Rs 44,540, what was the original value at the beginning of these 3 years?

The value of the refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9,680. For how much was it purchased?

A building worth Rs 1, 33,100 is constructed on a plot of land worth Rs 72,900. After how many years will the values of both be same, if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?

The cost of a T.V. was quoted Rs 17,000 at the beginning of the year 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What is the cost of the T.V. in 2001?

A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?

## Chapter 1: Compound Interest

#### Frank Frank Class 10 Mathematics Part 2

#### Textbook solutions for Class 10

## Frank solutions for Class 10 Mathematics chapter 1 - Compound Interest

Frank solutions for Class 10 Maths chapter 1 (Compound Interest) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Frank Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 10 Mathematics chapter 1 Compound Interest are Compound Interest as a Repeated Simple Interest Computation with a Growing Principal, Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years, Use of Formula, Finding CI from the Relation CI = A – P.

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