Amount and compound interest earned on Rs. 10000 for 1 year at 9% per annum compounded half yearly is
1 more please
Share
Amount and compound interest earned on Rs. 10000 for 1 year at 9% per annum compounded half yearly is
1 more please
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Given:
To find:
Step-by-step explanation:
We know that it is compounded half yearly and time given is 1 year, so in a year or in one year, there are two half years. So, we will compound the interest two times.
Rate% will also be half.
Rate = 9/2%
♦ A = P(1 + r/100)ⁿ
Where,
A = Amount
P = Principal
r = Rate
n = number of years
Putting the values in the formula, we have:
Therefore,
Amount = Rs. 10920.25
♦ C.I. = A - P
Where,
C.I. = Compound interest
A = Amount
P = Principal
Putting the values in the formula, we have:
Therefore,
Compound interest = Rs. 920.25
━━━━━━━━━━━━━━━━━━━━━
[tex]{ \sf{ \color{black}{Question:−}}}[/tex]
Amount and compound interest earned on Rs. 10000 for 1 year at 9% per annum compounded half yearly is?
[tex] \huge \fcolorbox{red}{skyblue}{answer}[/tex]
Given:
Principal, P = Rs. 10,000
Rate, R = 9%
Time, n (per annum compounded half yearly) = 1 year
To find:
Amount, A.
Compound interest, C.I. .
Step-by-step explanation:
We know that it is compounded half yearly and time given is 1 year, so in a year or in one year, there are two half years. So, we will compound the interest two times.
Rate% will also be half.
Rate = 9/2%
♦ A = P(1 + r/100)ⁿ
Where,
A = Amount
P = Principal
r = Rate
n = number of years
Putting the values in the formula, we have:
A = 10000(1 +9/(2 × 100))²
A = 10000(1 +9/200)²
A = 10000((200 +9)/200)²
A = 10000(209/200)²
A = 10000 × 209/200 × 209/200
A = 209/2 × 209/2
A = 43681/4
A = Rs. 10920.25
Therefore,
Amount = Rs. 10920.25
♦ C.I. = A - P
Where,
C.I. = Compound interest
A = Amount
P = Principal
Putting the values in the formula, we have:
C.I. = 10920.25 - 10000
C.I. = Rs. 920.25
Therefore,
Compound interest = Rs. 920.25
━━━━━━━━━━━━━━━━━━━━━
I think I know u can u pls unblock me ..