
The compound interest on Rs 8000 at 20% per annum for 9 months compounded quarterly is:
a) 1260
b) 1261
c) 1271
d) 1281
Answer
530.1k+ views
Hint: Use the formula of compound interest , where P is the principal (or original amount), r is the annual rate, n is the number of times interest compounded per time period, t is the number of years on which interest has applied.
Complete step-by-step answer:
We are going to use the formula of compound interest which is written below:
Where P: the Principal (or original amount)
r: annual rate of interest
n: number of times interest compounded per time period
t: number of years on which the interest has applied
It is given that:
The principal (or original amount) is Rs 8000.
Annual rate of interest is 20%.
The interest is compounding quarterly means n = 4.
The interest compounded quarterly for 9 months means year.
Now, substituting these values in the compound interest formula we get,
So, the compound interest on Rs 8000 at 20% per annum for 9 months compounded quarterly is 1261.
Hence, the correct option is (b).
Note: While applying the formula of compound interest there are some common mistakes that could happen:
When substituting the value of r, don’t forget to divide the rate by 100.
There could be confusion with the “compounded quarterly” statement, it means in a year interest is 4 times compounded so n value will be 4.
And the “t” should be in years if in the question “t” is not given in years first convert it into years then apply in the formula.
Complete step-by-step answer:
We are going to use the formula of compound interest which is written below:
Where P: the Principal (or original amount)
r: annual rate of interest
n: number of times interest compounded per time period
t: number of years on which the interest has applied
It is given that:
The principal (or original amount) is Rs 8000.
Annual rate of interest is 20%.
The interest is compounding quarterly means n = 4.
The interest compounded quarterly for 9 months means
Now, substituting these values in the compound interest formula we get,
So, the compound interest on Rs 8000 at 20% per annum for 9 months compounded quarterly is 1261.
Hence, the correct option is (b).
Note: While applying the formula of compound interest there are some common mistakes that could happen:
When substituting the value of r, don’t forget to divide the rate by 100.
There could be confusion with the “compounded quarterly” statement, it means in a year interest is 4 times compounded so n value will be 4.
And the “t” should be in years if in the question “t” is not given in years first convert it into years then apply in the formula.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Trending doubts
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE

Change the following sentences into negative and interrogative class 10 english CBSE
