The difference between the simple interest and compound interest on a principal of 2000 for 2 years

The sooner you start to save, the more you'll earn with compound interest.

How compound interest works

Compound interest is the interest you get on:

  • the money you initially deposited, called the principal
  • the interest you've already earned

For example, if you have a savings account, you'll earn interest on your initial savings and on the interest you've already earned. You get interest on your interest.

This is different to simple interest. Simple interest is paid only on the principal at the end of the period. A term deposit usually earns simple interest.

Save more with compound interest

The power of compounding helps you to save more money. The longer you save, the more interest you earn. So start as soon as you can and save regularly. You'll earn a lot more than if you try to catch up later.

For example, if you put $10,000 into a savings account with 3% interest compounded monthly:

  • After five years, you'd have $11,616. You'd earn $1,616 in interest.
  • After 10 years you'd have $13,494. You'd earn $3,494 in interest.
  • After 20 years you'd have $18,208. You'd earn $8,208 in interest.

Compound interest formula

To calculate compound interest, use the formula:

A = P x (1 + r)n

A = ending balance
P = starting balance (or principal)
r = interest rate per period as a decimal (for example, 2% becomes 0.02)
n = the number of time periods

How to calculate compound interest

To calculate how much $2,000 will earn over two years at an interest rate of 5% per year, compounded monthly:

1. Divide the annual interest rate of 5% by 12 (as interest compounds monthly) = 0.0042

2. Calculate the number of time periods (n) in months you'll be earning interest for (2 years x 12 months per year) = 24

3. Use the compound interest formula

A = $2,000 x (1+ 0.0042)24
A = $2,000 x 1.106
A = $2,211.64

The difference between the simple interest and compound interest on a principal of 2000 for 2 years

Lorenzo and Sophia compare the compounding effect

Lorenzo and Sophia both decide to invest $10,000 at a 5% interest rate for five years. Sophia earns interest monthly, and Lorenzo earns interest at the end of the five-year term.

After five years:

  • Sophia has $12,834.
  • Lorenzo has $12,500.

Sophia and Lorenzo both started with the same amount. But Sophia gets $334 more interest than Lorenzo because of the compounding effect. Because Sophia is paid interest each month, the following month she earns interest on interest.

The difference between the simple interest and compound interest on a principal of 2000 for 2 years

Jump to

  • Compound Interest Exercise 14.1
  • Compound Interest Exercise 14.2
  • Compound Interest Exercise 14.3
  • Compound Interest Exercise 14.4
  • Compound Interest Exercise 14.5

  • 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

Question 36 Compound Interest Exercise 14.2

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.

Answer:

Given,

Time = 2 years

Rate = 7.5 % per annum

Let principal = Rs P

Compound Interest (CI) – Simple Interest (SI) = Rs 360

C.I – S.I = Rs 360

By using the formula,

P [(1 + R/100)^n - 1] – (PTR)/100 = 360

P [(1 + 7.5/100)^2 - 1] – (P(2)(7.5))/100 = 360

P[249/1600] – (3P)/20 = 360

249/1600P – 3/20P = 360

(249P-240P)/1600 = 360

9P = 360 × 1600

P = 576000/9

= 64000

∴ The sum is Rs 64000

Video transcript

hello everybody welcome to leader learning my name is rajna chaudhary and we have to write this statement in the equation form it is written that write equation for the statements for these statements so statement is one fourth of a number x minus g minus four gives four so one fourth of a number x would be one fourth of x that mean the value of this part is 1 by 4 of x then we have to minus 4 from it so let's minus 4 from it so minus 4 and gives gives means is equal to 4 so this is the equation for the statement we can write it like that at the place of off we can write multiply then minus 4 is equal to 4. we can also write it like x upon 4 minus 4 is equal to 4. so this is the form of equation for the statement i hope you understand the method see you in my next video don't forget to like comment and subscribe leader learning channel thank you for watching

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The difference between the simple interest and compound interest on a principal of 2000 for 2 years

What is the difference between simple interest and compound interest on a principal of 2000?

Simple interest (S.I.) is the sum paid back for using the borrowed money, over a fixed period of time whereas compound interest (C.I.)is calculated when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.

What is the difference between the compound interest and simple interest for the sum of $2000 over a period of 2 years if the compound?

Compound Interest: It means the amount of interest is not same for every year. Time period is 2 years. Compound interest is 20% and simple interest is 23%.

What is the difference between simple and compound interest on a sum of Rs 2000 for 3 years at 20% per annum?

The difference between the interest payable on a sum invested for three years at 20% compound interest per annum compounded annually and 20% simple interest per annum for the same period is ₹448.

What is the difference between simple interest and compound interest for a period of 2 years?

Generally, simple interest paid or received over a certain period is a fixed percentage of the principal amount that was borrowed or lent. Compound interest accrues and is added to the accumulated interest of previous periods, so borrowers must pay interest on interest as well as principal.