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# Selina solutions for Class 9 chapter 2 - Compound Interest (Without using formula)

#### Chapters

Chapter 1: Rational and Irrational Numbers

Chapter 2: Compound Interest (Without using formula)

Chapter 3: Compound Interest (Using Formula)

Chapter 4: Expansions (Including Substitution)

Chapter 5: Factorisation

Chapter 6: Simultaneous (Linear) Equations (Including Problems)

Chapter 7: Indices (Exponents)

Chapter 8: Logarithms

Chapter 9: Triangles [Congruency in Triangles]

Chapter 10: Isosceles Triangles

Chapter 11: Inequalities

Chapter 12: Mid-point and Its Converse [ Including Intercept Theorem]

Chapter 13: Pythagoras Theorem [Proof and Simple Applications with Converse]

Chapter 14: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]

Chapter 15: Construction of Polygons (Using ruler and compass only)

Chapter 16: Area Theorems [Proof and Use]

Chapter 17: Circle

Chapter 18: Statistics

Chapter 19: Mean and Median (For Ungrouped Data Only)

Chapter 20: Area and Perimeter of Plane Figures

Chapter 21: Solids [Surface Area and Volume of 3-D Solids]

Chapter 22: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]

Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]

Chapter 24: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]

Chapter 25: Complementary Angles

Chapter 26: Co-ordinate Geometry

Chapter 27: Graphical Solution (Solution of Simultaneous Linear Equations, Graphically)

Chapter 28: Distance Formula

## Chapter 2: Compound Interest (Without using formula)

Exercise 2 (A)Exercise 2 (B)Exercise 2 (C)Exercise 2 (D)

#### Selina solutions for Class 9 Chapter 2 Exercise Exercise 2 (A) [Page 28]

Exercise 2 (A) | Q 1 | Page 28

Rs.16,000 is invested at 5% compound interest compounded per annum. Use the table, given below, to find the amount in 4 years.

 Year ↓ Initial amount (Rs.) Interest (Rs.) Final amount(Rs.) 1st 16,000 800 16,800 2nd 3rd 4th 5th
Exercise 2 (A) | Q 2.1 | Page 28

Calculate the amount and the compound interest on :
Rs. 6,000 in 3 years at 5% per year.

Exercise 2 (A) | Q 2.2 | Page 28

Calculate the amount and the compound interest on :
Rs. 8,000 in 2 1/2 years at 15% per year.

Exercise 2 (A) | Q 3.1 | Page 28

Calculate the amount and the compound interest on :
₹ 4,600 in 2 years when the rates of interest of successive years are 10%and 12% respectively.

Exercise 2 (A) | Q 3.2 | Page 28

Calculate the amount and the compound interest on :
Rs. 16,000 in 3 years, when the rates of the interest for successive years are 10%, 14% and 15% respectively.

Exercise 2 (A) | Q 4 | Page 28

Find the compound interest, correct to the nearest rupee, on Rs. 2,400 for 2 1/2 years at 5 per cent per annum.

Exercise 2 (A) | Q 5 | Page 28

Calculate the compound interest for the second year on Rs. 8,000/- invested for 3 years at 10% per annum.

Exercise 2 (A) | Q 6 | Page 28

A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.

Exercise 2 (A) | Q 7 | Page 28

How much will Rs. 50,000 amount to in 3 years, compounded yearly, if the rates for the successive years are 6%, 8% and 10% respectively?

Exercise 2 (A) | Q 8 | Page 28

Meenal lends Rs. 75,000 at C.I. for 3 years. If the rate of interest for the first two years is 15% per year and for the third year it is 16%, calculate the sum Meenal will get at the end of the third year.

Exercise 2 (A) | Q 9 | Page 28

Govind borrows Rs18,000 at 10% simple interest. He immediately invests the money borrowed at 10% compound interest compounded half-yearly. How much money does Govind gain in one year ?

Exercise 2 (A) | Q 10 | Page 28

Find the compound interest on Rs. 4,000 accrued in three years, when the rate of interest is 8% for the first year and 10% per year for the second and the third years.

#### Selina solutions for Class 9 Chapter 2 Exercise Exercise 2 (B) [Page 33]

Exercise 2 (B) | Q 1 | Page 33

Calculate the difference between the simple interest and the compound interest on Rs. 4,000 in 2 years at 8% per annum compounded yearly.

Exercise 2 (B) | Q 2 | Page 33

A man lends  Rs. 12,500 at 12% for the first year, at 15% for the second year and at 18% for the third year. If the rates of interest are compounded yearly ; find the difference between the C.I. fo the first year and the compound interest for the third year.

Exercise 2 (B) | Q 3 | Page 33

A sum of money is lent at 8% per annum compound interest. If the interest for the second year exceeds that for the first year by Rs. 96, find the sum of money.

Exercise 2 (B) | Q 4 | Page 33

A man borrows Rs. 6,000 at 5% C.I. per annum. If he repays Rs. 1,200 at the end of each year, find the amount of the loan outstanding at the beginning of the third year.

Exercise 2 (B) | Q 5 | Page 33

A man borrows Rs. 5,000 at 12 percent compound interest payable every six months. He repays Rs. 1,800 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.

Exercise 2 (B) | Q 6 | Page 33

On a certain sum of money, the difference between the compound interest for a year, payable half-yearly, and the simple interest for a year is  Rs. 180/- Find the sum lent out, if the rate of interest in both the cases is 10% per annum.

Exercise 2 (B) | Q 7 | Page 33

A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the original value (cost) of the machine, if it depreciates by Rs. 5,355 during the second year.

Exercise 2 (B) | Q 8.1 | Page 33

A man invest 5,600 at 14% per annum compound interest for 2 years. Calculate : The interest for the first year.

Exercise 2 (B) | Q 8.2 | Page 33

A man invest Rs. 5,600 at 14% per annum compound interest for 2 years. Calculate : The amount at the end of the first year.

Exercise 2 (B) | Q 8.3 | Page 33

A man invest Rs. 5,600 at 14% per annum compound interest for 2 years. Calculate : The interest for the second year, correct to the nearest rupee.

Exercise 2 (B) | Q 9 | Page 33

A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third years.

Exercise 2 (B) | Q 10 | Page 33

A man borrows Rs. 10,000 at 5% per annum compound interest. He repays 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?

#### Selina solutions for Class 9 Chapter 2 Exercise Exercise 2 (C) [Page 38]

Exercise 2 (C) | Q 1 | Page 38

A sum is invested at compound interest, compounded yearly. If the interest for two successive years is Rs. 5,700 and Rs. 7,410. calculate the rate of interest.

Exercise 2 (C) | Q 2 | Page 38

A certain sum of money is put at compound interest, compounded half-yearly. If the interest for two successive half-years are Rs. 650 and Rs. 760.50; find the rate of interest.

Exercise 2 (C) | Q 3.1 | Page 38

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find : the rate of interest.

Exercise 2 (C) | Q 3.2 | Page 38

A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: the original sum.

Exercise 2 (C) | Q 4 | Page 38

The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1,089 and for the third year it is Rs. 1,197.90. Calculate the rate of interest and the sum of money.

Exercise 2 (C) | Q 5 | Page 38

Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate :
(i) the rate of interest per annum.
(ii) the amount at the end of the second year.
(iii) the interest accrued in the third year.

Exercise 2 (C) | Q 6 | Page 38

Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.

Exercise 2 (C) | Q 7 | Page 38

Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:
(i) the sum due to Ramesh at the end of the first year.
(ii) the interest he earns for the second year.
(iii) the total amount due to him at the end of the third year.

Exercise 2 (C) | Q 8 | Page 38

Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :
(i) the interest paid for the second year.
(ii) the total interest paid in two years.
(iii) the total amount of money paid in two years to clear the debt.

Exercise 2 (C) | Q 9 | Page 38

The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. Calculate :

1. The rate of depreciation.
2. The original cost of the machine.
3. Its cost at the end of the third year.
Exercise 2 (C) | Q 10 | Page 38

Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.

Exercise 2 (C) | Q 11 | Page 38

A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year ?

Exercise 2 (C) | Q 12 | Page 38

A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 20% of the amount for that year. How much money is left unpaid just after the second year ?

#### Selina solutions for Class 9 Chapter 2 Exercise Exercise 2 (D) [Pages 38 - 39]

Exercise 2 (D) | Q 1 | Page 38

What sum will amount of Rs. 6,593.40 in 2 years at C.I. , if the rates are 10 per cent and 11 per cent for the two successive years ?

Exercise 2 (D) | Q 2 | Page 38

The value of a machine depreciated by 10% per year during the first two years and 15% per year during the third year. Express the total depreciation of the machine, as per cent, during the three years.

Exercise 2 (D) | Q 3 | Page 38

Rachna borrows Rs. 12,000 at 10 percent per annum interest compounded half-yearly. She repays Rs. 4,000 at the end of every six months. Calculate the third payment she has to make at end of 18 months in order to clear the entire loan.

Exercise 2 (D) | Q 4 | Page 39

On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.

Exercise 2 (D) | Q 5 | Page 39

During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.

Exercise 2 (D) | Q 6 | Page 39

Find the sum on which the difference between the simple interest and compound interest at the rate of 8% per annum compounded annually would be Rs. 64 in 2 years.

Exercise 2 (D) | Q 7 | Page 39

A sum of Rs. 13,500 is invested at 16% per annum compound interest for 5years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of first year.
(iii) the interest for the second year, correct to the nearest rupee.

Exercise 2 (D) | Q 8 | Page 39

Saurabh invests Rs. 48,000 for 7 years at 10% per annum compound interest. Calculate:
(i) the interest for the first year.
(ii) the amount at the end of second year.
(iii) the interest for the third year.

Exercise 2 (D) | Q 9 | Page 39

Ashok borrowed Rs. 12,000 at some rate on compound interest. After a year, he paid back Rs.4,000. If the compound interest for the second year is Rs. 920, find:

1. The rate of interest charged
2. The amount of debt at the end of the second year
Exercise 2 (D) | Q 10 | Page 39

On a certain sum of money, lent out at C.I., interests for first, second and third years are Rs. 1,500; Rs. 1,725 and Rs. 2,070 respectively. Find the rate of interest for the (i) second year (ii) third year.

## Chapter 2: Compound Interest (Without using formula)

Exercise 2 (A)Exercise 2 (B)Exercise 2 (C)Exercise 2 (D)

## Selina solutions for Class 9 Mathmetics chapter 2 - Compound Interest (Without using formula)

Selina solutions for Class 9 chapter 2 (Compound Interest (Without using formula)) 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 Selina Concise Class 9 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 9 Mathmetics chapter 2 Compound Interest (Without using formula) are Concept of Simple Interest, Conept of Compound Interest, Compound Interest as a Repeated Simple Interest Computation with a Growing Principal, More About Compound Interest.

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