OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2. We Provide Step by Step Answer of Exe-2(a), Exe-2(b), Exe-2(c), Exe-2(d) with Chapter Test of S Chand OP Malhotra Maths . Visit official Website CISCE for detail information about ICSE Board Class-9.
OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2
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Exercise-2
OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2
Compound Interest Definition :
Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from the simple interest where interest is not added to the principal while calculating the interest during the next period. Compound interest finds its usage in most of the transactions in the banking and finance sectors and also in other areas as well. Some of its applications are:
- Increase or decrease in population.
- The growth of bacteria.
- Rise or Depreciation in the value of an item.
Compound Interest in Maths :
To understand the compound interest we need to do its Mathematical calculation. To calculate compound interest we need to know the amount and principal. It is the difference between amount and principal.
Principal: This is the money borrowed or lent out for a certain period of time is called the principal or sum.
Interest: Interest is payment from a borrower to a lender of an amount above repayment of the principal sum
Amount: The total money paid back by the borrower to the lender is called the amount.
Rate: The interest on Rs. 100 for a unit time is called the rate of interest. It is expressed in %. The interest on Rs. 100 for 1 year is called rate % per annum (abbreviated as rate % p. a.)
Simple Interest
- Simple interest is calculated only on the principal amount, or on that portion of the principal amount that remains. It excludes the effect of compounding. It is denoted by S.I.
- The simple interest is calculated uniformly only on the original principal throughout the loan period.
- You do not earn interest on the interest earned during the loan period.
Formula: Let Principal = P, Rate = R% per annum and Time T years. Then, we have:
Notes:
- While calculating the time period between two given dates, the day on which the money is borrowed is not counted for interest calculations while the day on which the money is returned, is counted for interest calculations.
- For converting the time in days into years, we always divide by 365, whether it is an ordinary year or a leap year.
Compound Interest :
- Compound interest includes interest earned on the interest which was previously accumulated.
- Here you also earn interest over the interest accrued during the loan period.
- The difference between the final amount and the original principal is called the compound interest (abbreviated as C.I.)
Exercise-2.(a)
OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2
Find the compound interest in the following :
Question 1:
10000 ……………..
Question 2:
5000 …………..
Question 3:
2800……………
Question 4:
2000
Question 5:
20480 …………………
Question 6:
Find the amount and ……………………… annually.
Question 7:
…………………
…………………….
………………………
Question 14:
If the simple …………………….. the same time .
Question 15:
A man invest ………………………… calculate :
(i)…………
(ii)…….
(iii)……….
Exercise-2.(b)
OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2
Calculate the amount and the compound interest by using the formula for compound interest :
Question 1:
625 ……………….
Question 2:
…………………
…………………..
……………………
Question 6:
SANGEETA LENT ………………………….. Paid by Amar after 1 (1/2) years.
Question 7:
…………………..
…………………..
…………………..
Question 12:
The nagar palika ………………………………………… after the campaign started.
Question 13:
8000 blood doors ……………….. during 1 (1/2) tears.
Exercise-2.(c)
OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2
Question 1:
What amount of money should Mohan invest in a bank in order to get Rs. 1323 in 2 year at 5 % compounded annually ?
Question 2:
Find the sum ………………….. compound interest.
Question 3:
……………………
………………………
…………………………
Question 8:
Hari purchased ………………….. half – yearly.
Question 9:
8000 became ………………………. Find the time.
Question 10:
……………………….
……………………….
…………………………
Question 12:
A sum compounded annually becomes 25/16 timess of itself in 2 year. Determine the rate of interest per annum ?
Exercise-2.(d)
Compound Interest Class-9 S.Chand ICSE Maths Ch-2
Question 1:
The cost of a machine ……………………………. after three year .
Question 2:
The population of a …………………………………. 2 year ago .
Question 3:
…………………………..
…………………………….
…………………………….
Question 10:
8000 worker were ……………………. the fouth year ?
Chapter Test
OP Malhotra Compound Interest Class-9 S.Chand ICSE Maths Ch-2
Question 1:
Nikita invest 6000 for two year at a certain ………………. calculate:
(i)…………..
(ii)……………
Question 2:
Rohit borrow …………………………… at the end of two years.
Question 3:
……………………
……………………..
……………………..
Question 9:
On what sum of …………………..amount to 164 ?
Question 10:
A sum of money become …………………………….. become sixteen times ?
— : End of Compound Interest OP Malhotra S Chand Solutions :–
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