- Rational Numbers
- Powers
- Squares and Square Roots
- Cube and Cube Roots
- Playing with Numbers
- Algebraic Expressions and Identities
- Factorization
- Division of Algebraic Expressions
- Linear Equation in One Variable
- Direct and Inverse Variations
- Time and Work
- Percentage
- Profit Loss Discount and Value Added Tax
- Compound Interest
- Understanding Shapes Polygons
- Understanding Shapes Quadrilaterals
- Understanding Shapes Special Types Quadrilaterals
- Practical Goemetry
- Visualising Shapes
- Area of Trapezium and Polygon
- Volume Surface Area Cuboid Cube
- Surface Area and Volume of Right Circular Cylinder
- Classification And Tabulation Of Data
- Classification And Tabulation Of Data Graphical Representation Of Data As Histograms
- Pictorial Representation Of Data As Pie Charts Or Circle Graphs
- Data Handling Probability
- Introduction To Graphs
RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.2 in Chapter 14 - Compound Interest
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
By using the formula,
A = P (1 + R/100)^n
Let us solve
(i)Given, P = Rs 3000, rate = 5%, time = 2years
A = P (1 + R/100)^n
= 3000 (1 + 5/100)^2
= 3000 (105/100)^2
= Rs 3307.5
Compound interest (CI) = A-P = Rs 3307.5 – 3000 = Rs 307.5
(ii)Given, P = Rs 3000, rate = 18%, time = 2years
A = P (1 + R/100)^n
= 3000 (1 + 18/100)^2
= 3000 (118/100)^2
= Rs 4177.2
Compound interest (CI) = A-P = Rs 4177.2 – 3000 = Rs 1177.2
(iii)Given, P = Rs 5000, rate = 10%, time = 2years
A = P (1 + R/100)^n
= 5000 (1 + 10/100)^2
= 5000 (110/100)^2
= Rs 6050
Compound interest (CI) = A-P = Rs 6050 – 5000 = Rs 1050
(iv)Given, P = Rs 2000, rate = 4%, time = 3years
A = P (1 + R/100)^n
= 2000 (1 + 4/100)^3
= 2000 (104/100)^3
= Rs 2249.72
Compound interest (CI) = A-P = Rs 2249.72 – 2000 = Rs 249.72
(v)Given, P = Rs 12800, rate = 7 ½ % = 15/2% = 7.5%, time = 3years
A = P (1 + R/100)^n
= 12800 (1 + 7.5/100)^3
= 12800 (107.5/100)^3
= Rs 15901.4
Compound interest (CI) = A-P = Rs 15901.4 – 12800 = Rs 3101.4
(vi)Given, P = Rs 10000, rate = 20 % = 20/2 = 10% (quarterly), time = 2years = 2 × 2 =4years
A = P (1 + R/100)^n
= 10000 (1 + 10/100)^4
= 10000 (110/100)^4
= Rs 14641
Compound interest (CI) = A-P = Rs 14641 – 10000 = Rs 4641
(vii)Given, P = Rs 160000, rate = 10% = 10/2% = 5% (half yearly), time = 2years = 2×2
= 4 quarters
A = P (1 + R/100)^n
= 160000 (1 + 5/100)^4
= 160000 (105/100)^4
= Rs 194481
Compound interest (CI) = A-P = Rs 194481 – 160000 = Rs 34481
Facebook
Whatsapp
Copy Link
Lido
Courses
Quick Links
Terms & Policies
Terms & Policies
