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1. NCERT Solutions - Mathematics , Class 8

CHAPTERS

1. Rational Numbers

2. Linear Equations in One Variable

3. Understanding Quadrilaterals

4. Data Handling

5. Squares and Square Roots

6. Cubes and Cube Roots

7. Comparing Quantities

8. Algebraic Expressions and Identities

9. Visualising Solid Shapes

10. Mensuration

11. Exponents and Powers

12. Direct and Inverse Proportions

13. Factorisation

14. Introduction to Graphs

15. Playing with Numbers

EXERCISES

1. Exercise 8.1

2. Exercise 8.2

3. Exercise 8.3

Q1) Calculate the amount and compound interest on:

(a) Rs.10,800 for 3 years at 12\ \frac{1}{2}\% per annum compounded annually.

(b) Rs.18,000 for 2\ \frac{1}{2} years at 10% per annum compounded annually.

(c) Rs.62,500 for 1\ \frac{1}{2} years at 8% per annum compounded annually.

(d) Rs.8,000 for 1 years at 9% per annum compounded half yearly. (You could the year by year calculation using S.I. formula to verify).

(e) Rs.10,000 for 1 years at 8% per annum compounded half yearly.

Q2) Kamala borrowed Rs.26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

Q3) Fabina borrows Rs.12,500 per annum for 3 years at simple interest and Radhaborrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Q4) I borrow Rs.12,000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

Q5) Vasudevan invested Rs.60,000 at an interest rate of 12% per annum compounded half-yearly. What amount would he get:

(i) after 6 months?

(ii) after 1 year?

Q6) Arif took a loan of Rs.80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 1\ \frac{1}{2} years if the interest is:

(i) compounded annually.

(ii) compounded half-yearly.

Q7) Maria invested Rs.8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find:

(i) The amount credited against her name at the end of the second year.

(ii) The interest for the third year.

Q8) 3rdFind the amount and the compound interest on Rs.10,000 for 1\ \frac{1}{2} years at 10% per annum, compounded half-yearly.

Would this interest be more than the interest he would get if it was compounded annually?

Q9) Find the amount which Ram will get on Rs.4,096 if he gave it for 18 months at 12\ \frac{1}{2} per annum, interest being compounded half-yearly.

Q10) The population of a place increased to 54,000 in 2003 at a rate of 5% per annum.

(i) Find the population in 2001.

(ii) What would be its population in 2005?

Q11) In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

Q12) A scooter was bought at Rs.42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

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NCERT Solutions - Mathematics , Class 8

Rational Numbers

Linear Equations in One Variable

Understanding Quadrilaterals

Data Handling

Squares and Square Roots

Cubes and Cube Roots

Comparing Quantities

Algebraic Expressions and Identities

Visualising Solid Shapes

Mensuration

Exponents and Powers

Direct and Inverse Proportions

Factorisation

Introduction to Graphs

Playing with Numbers

Exercise 8.1

Exercise 8.2

Exercise 8.3

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