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Basic Terms Related to interest
• PRINCIPAL:- The money borrowed is called
the principal or sum.
• INTEREST :- The additional money paid by
the borrower is called the interest.
• RATE:- The interest on Rs100 for 1year is
known as the rate percent per annum.
• AMOUNT:-The total money paid by the
borrower to the lender is called the
amount. (A = P + I)
SIMPLE INTEREST
• 1) When you deposit
money into a savings at
a bank you expect the
bank to pay you for the
privilege of saving your
money with them. This
extra money is called
interest.
• 2) Interest is also paid
by a borrower to a
lender for the privilege
of using money.
• Definition :-If
interest is
calculated
uniformly on the
original principal
throughout the
loan period,it is
called simple
interest.
Annual interest rate
IMPLE INTEREST
FORMULA
Interest paid
Principal
(Amount of money
invested or
borrowed)
Time (in years)
100
I = PRT
PROBLEM SUMS
• Q1.Ratna’s father
obtained a loan of
Rs25000 from
HDFC bank to
renovate his house.
If the rate of
interest is 10% per
annum, what
amount will he
have to pay to the
bank after 2 years
to repay her dept?
• Given - P=Rs25000,R=10%p.a.
T=2years
• We know S.I = PRT/100
• S.I = 25000 x 10 X 2/100
• S.I= Rs.5000
• A = P + I=25000 + 5000
• Ans ;-Rs 30,000
COMPOUND
INTEREST
DEFINITION
COMPOUND INTEREST
FORMULA
amount at the
end
Principal
(amount at
start)
annual interest rate
n
r
PA 






100
1
time
(in years)
FORMULA FOR C.I.
• C.I. = AMOUNT - PRINCIPAL
PROBLEM ON C.I.
• =4.5 x 1331=5989.5
• Now C.I. = A - p
• =5989.5 – 4500 = Rs.1489.5
Difference between C.I & S.I
Mr.X has borrowed Rs.10,000 from a Lendor Y on 10 %
simple interest for 3 years & Mr.Z also borrowed same
amount from Z 0n 10% compound interest for 3years
lets check who is clever between X & Y.
YEAR 0n 10 % simple growth On 10% compound growth
Principal interest Principal growth
0 10,000 - 10,000 -
1 10,000 1000 11,000 1000
2 10,000 1000 12,100 1100
3 10,000 1000 12,310 1210
Return after 3
years to lendor
3000 3310
Graphical Comparison of C.I & S.I
0
200
400
600
800
1000
1200
1400
Simple Interest Compound Interest
After 1-year
After 2-year2
After 3-year3
CLASS VIII MATHS

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CLASS VIII MATHS

  • 1.
  • 2. Basic Terms Related to interest • PRINCIPAL:- The money borrowed is called the principal or sum. • INTEREST :- The additional money paid by the borrower is called the interest. • RATE:- The interest on Rs100 for 1year is known as the rate percent per annum. • AMOUNT:-The total money paid by the borrower to the lender is called the amount. (A = P + I)
  • 3. SIMPLE INTEREST • 1) When you deposit money into a savings at a bank you expect the bank to pay you for the privilege of saving your money with them. This extra money is called interest. • 2) Interest is also paid by a borrower to a lender for the privilege of using money. • Definition :-If interest is calculated uniformly on the original principal throughout the loan period,it is called simple interest.
  • 4.
  • 5. Annual interest rate IMPLE INTEREST FORMULA Interest paid Principal (Amount of money invested or borrowed) Time (in years) 100 I = PRT
  • 6. PROBLEM SUMS • Q1.Ratna’s father obtained a loan of Rs25000 from HDFC bank to renovate his house. If the rate of interest is 10% per annum, what amount will he have to pay to the bank after 2 years to repay her dept? • Given - P=Rs25000,R=10%p.a. T=2years • We know S.I = PRT/100 • S.I = 25000 x 10 X 2/100 • S.I= Rs.5000 • A = P + I=25000 + 5000 • Ans ;-Rs 30,000
  • 9. COMPOUND INTEREST FORMULA amount at the end Principal (amount at start) annual interest rate n r PA        100 1 time (in years)
  • 10. FORMULA FOR C.I. • C.I. = AMOUNT - PRINCIPAL
  • 12. • =4.5 x 1331=5989.5 • Now C.I. = A - p • =5989.5 – 4500 = Rs.1489.5
  • 13. Difference between C.I & S.I Mr.X has borrowed Rs.10,000 from a Lendor Y on 10 % simple interest for 3 years & Mr.Z also borrowed same amount from Z 0n 10% compound interest for 3years lets check who is clever between X & Y.
  • 14. YEAR 0n 10 % simple growth On 10% compound growth Principal interest Principal growth 0 10,000 - 10,000 - 1 10,000 1000 11,000 1000 2 10,000 1000 12,100 1100 3 10,000 1000 12,310 1210 Return after 3 years to lendor 3000 3310
  • 15. Graphical Comparison of C.I & S.I 0 200 400 600 800 1000 1200 1400 Simple Interest Compound Interest After 1-year After 2-year2 After 3-year3