This ppt is helpful in clearing a basic concepts regarding this topic.
Also if you are preparing for competitive exams go through the MCQ given in this ppt.
Compittitve exams like CTET, PTET, SSC, JEE, etc.
Though we had learnt about Simple and Compound Interests at school, because of the technological advantages and new gadgets over the years we have forgotten how to calculate it. This is my sincere effort to refresh the minds of interested persons about its concepts and how to calculate mannually.
Though we had learnt about Simple and Compound Interests at school, because of the technological advantages and new gadgets over the years we have forgotten how to calculate it. This is my sincere effort to refresh the minds of interested persons about its concepts and how to calculate mannually.
The power point explains the concept of simple interest and compound interest.It also explains the development of the formula.It is made for VIIIth standard S.S.C text book.
Essential Question How can you find the unit rate from a line on a graph that goes through the origin?
Objective understand slope as it relates to rate of change
The power point explains the concept of simple interest and compound interest.It also explains the development of the formula.It is made for VIIIth standard S.S.C text book.
Essential Question How can you find the unit rate from a line on a graph that goes through the origin?
Objective understand slope as it relates to rate of change
Fashion Designing Course - A Trending Careerachaljain11
Fashion industry is booming up and providing the opportunities to fashion graduates and the demand of enthusiastic, skilled and talented designers is also increasing day by day. Fashion Designing is not just limited to costume designing; it also provides a wide career as a Fashion consultant, apparel production manager, illustrator, fashion coordinator and many more.
This ppt is completely based on the 5E approach to learning. This ppt is useful to enhance the higher order skill and also one video is attached to it so that you can learn the concept easily. and prepare for class test and competition.
This is helpful for competitive exams and also to increase the General knowledge and this ppt is in two language first in English and second is in Hindi helpful for everyone to understand. and helpful for PTET, CTET, UPSC and other exams
Mcq on synthetic fibres plastic coal and petroleum material metals non metalsJaspreet Kaur Kalsi
In this worksheet you find the MCQ based on Synthetic fibers, coal and petroleum& metals and non-metals. These are helpful for CTET, PTET, JEE, and other competitive exams
In this ppt you can learn about the light first by recall second by the different type of questions which help you in board as well as competitive exam
How can you construct an Achievement test. You can take help of this ppt to learn this. In this ppt the we talk about Functions, characteristics and type of tests we can make.
This ppt help you in understanding the role of ICT in education. How a teacher can use the technology to increase the teaching learning process. Also chalk and board in not a 21st century learning because now a days learning is done on smart board
This file is helpful for those who wants to know about the School Accounts and also fee heads.
data given in this document is valid and tested.
i hope this will help you to understand the concept.
Comparison of comission with pseb submiitted by jaspreet kaurJaspreet Kaur Kalsi
It is helpful for those who wants to design the curriculum for different classes.
And for those who wants to know the actual implication of commission policy made by government to improve EDUCATION
It is very helpful in understanding the construction of curriculum for school level for both science and math.
if you are teacher it is helpful in preparing the content of teaching and also helpful for improving teachimg learning process
If you want to clear your basics you can go through this, it is helpful in preparation of competitive exams, because the setup of question are according to competitive exams.
By this you can understand the actual concept of Atom and also the hidden facts behind it discovery, some you tube links are also their to increase the student knowledge
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
3. Terms:
• Interest- when someone take up some money from other for the personal or commercial purpose we pay some additional
money to him after a certain period of time is called Interest. It is also called Simple Interest.
• Compound interest- is interest added to the principal of a deposit or loan so that the added interest also earns interest
from then on. This addition of interest to the principal is called compound interest.
• Compound interest is charged on the principal plus any interest accrued till the point of time at which interest is being
calculated. In other words, compound interest system works as follows:
1. Interest for the fiRs.t period charged on principle amount.
2. For the second period, its charged on the sum of principle amount and interest charged during the fiRs.t period.
3. For the third period, it is charged on the sum of principle amount and interest charged during fiRs.t and second period,
and so on ...
• When money borrow for a certain time period called Principal or Sum.
• The addition of Simple Interest & Principal is called Amount.
• Per annum – for a year
• Quarterly- for ¼ of a year
4. FORMULAS:
• S.I. = P x R x T { where P is principal, R is rate of interest, T is time }
100
• Amount(a) = S.I. + P
• Compound interest (ic) = P × (1 + i) n – P
{where P is the principal amount, i is the rate of interest/period, n
are no. of periods}
5. PRACTICE QUESTION
Q- Find the simple interest on Rs..500 for 5 yeaRs. at 5 %.
Solution- we have P= Rs.. 500
R = 5%
T = 5
S.I. = P x R x T
100
= 500 x 0.5 x 5 = 12.5
100
6. PRACTICE QUESTION
Q- Calculate the total compound interest on the amount invested. The principal amount is
$1000 and rat of interest per year is 10 for 5 yeaRs.
Solution-
We have, Principle P = $1,000 Interest Rate
i = 10% per year
No. of Periods n = 5
Compound Interest Ic = $1,000 × ( 1 + 0.1 )^5 − $1,000
= $1,000 × 1.1^5 − $1,000
= $1,000 × 1.61051 − $1,000
= $1,610.51 − $1,000
= $610.51
7. MCQ:
• Ex.1. Find compound interest on Rs.. 7500 at 4% per annum for 2 years., compounded annually.
A. Rs.. 621
B. Rs.. 612
C. Rs.. 600
D. Rs..622
Sol. Amount = Rs. [7500*(1+(4/100)2] = Rs. (7500 * (26/25) * (26/25)) = Rs.. 8112. Therefore, C.I. = Rs.. (8112 - 7500) = Rs.. 612.
Ex. 2. Find compound interest on Rs.. 8000 at 15% per annum for 2 years. 4 months, compounded annually.
A. Rs.. 3109
B. Rs.. 3100
C. Rs..3000
D. None of these
Sol. Time = 2 years. 4 months = 2(4/12) years. = 2(1/3) years..
Amount = Rs.'. [8000 X (1+(15/100))2 X (1+((1/3)*15)/100)]
=Rs.. [8000 * (23/20) * (23/20) * (21/20)] = Rs.. 11109. :. C.I. = Rs.. (11109 - 8000) = Rs.. 3109.
8. • Ex. 4. Find the compound interest on Rs.. 16,000 at 20% per annum for 9 months, compounded quarterly.
A. Rs..2522
B. Rs..2500
C. Rs.. 2900
D. Rs.. 2174
Sol. Principal = Rs.. 16000; time = 9 months =3 quarters., rate = 20% per annum = 5% per quarter.
Amount = Rs.. [16000 x (1+(5/100))3] = Rs.. 18522.
Cj. = Rs.. (18522 - 16000) = Rs.. 2522.
Ex. 5. If the simple interest on a sum of money at 5% per annum for 3 years. is Rs.. 1200, find the compound interest on the same sum for the same period at the same
rate.
A. Rs.. 1161
B. Rs.. 1234
C. Rs.. 1261
D. None of these
Sol. Clearly, rate = 5% p.A., Time = 3 years., S.I.= Rs.. 1200. . .
So principal = Rs. [100*1200]/3*5= Rs. 8000 ,amount = Rs.. 8000 x [1 +5/100]^3 - = Rs.. 9261.
.. C.I. = Rs.. (9261 - 8000) = Rs.. 1261.
9. • Ex. 9. The difference between the compound interest and simple interest on a certain sum at 10% per annum for 2 years is rs. 631. Find the sum.
A. Rs. 6300
B. Rs. 63100
C. Rs. 63000
D. None of these
sol. Let the sum be rs. X. Then,
C.I. = X ( 1 + ( 10 /100 ))2 - x = 21x / 100 , S.I. = (( X * 10 * 2) / 100) = x / 5
(C.I) - (s.I) = ((21x / 100 ) - (x / 5 )) = x / 100
( x / 100 ) = 632 x = 63100. Hence, the sum is rs.63,100.
Ex. 10. The difference between the compound interest and the simple interest accrued on an amount of rs. 18,000 in 2 years was rs. 405. What was the rate of interest ?
A. 15%
B. 16%
C. 17%
D. 18%
Sol. Let the rate be R% p.A. Then,
[ 18000 ( 1 + ( R / 100 )2 ) - 18000 ] - ((18000 * R * 2) / 100 ) = 405
18000 [ ( 100 + (R / 100 )2 / 10000) - 1 - (2R / 100 ) ] = 405
18000[( (100 + R ) 2 - 10000 - 200R) / 10000 ] = 405 => 9R2 / 5 = 405 R2 =((405 * 5 ) / 9) = 225 R = 15. Rate = 15%.
10. • Ex.14. A sum of money doubles itself at compound interest in 15 years. In how many years will it become eight times?
A. 34
B. 45
C. 44
D. 43
=> P(1+R/100)15=2P
=> (1+R/100)15=2P/P=2
Let P(1+R/100)n=8p
=> (1+R/100)n=8=23={(1+r/100)15}3[USING (I)]
=> (1+R/100)N=(1+R/100)45
n=45.
11. • Ex.15.What annual payment will discharge a debt of rs.7620 due in 3years at 16and 2/3% per annum interest?
A. Rs. 4522
B. Rs. 2232
C. Rs. 3430
D. None of these
Sol. Let each installment bers.X.
Then,(p.W. Of rs.X due 1 year hence)+(p>w of rs.X due 2 years hence)+(p.W of rs. X due 3
years hence)=7620. X/(1+(50/3*100))+ x/(1+(50/3*100))2 + x/(1+(50/3*100))3=7620
(6x/7)+(936x/49)+(216x/343)=7620.
294x+252x+216x=7620*343.
X=(7620*343/762)=3430.
Amount of each installment=rs.3430.