What sum invested for 1 and half years compounded half yearly at the rate 8% per annum will amount to 140608? ✅ Tốt
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Lê Minh Châu đang tìm kiếm từ khóa What sum invested for 1 and half years compounded half yearly the rate 8% per annum will amount to 140608? được Cập Nhật vào lúc : 2022-10-14 22:30:26 . Với phương châm chia sẻ Bí quyết về trong nội dung bài viết một cách Chi Tiết Mới Nhất. Nếu sau khi đọc Post vẫn ko hiểu thì hoàn toàn có thể lại Comments ở cuối bài để Ad lý giải và hướng dẫn lại nha.What sum invested for 1.5 year amounts to $132651$ in $1dfrac12$ years compounded half-yearly the rate of $4% $ p.a.?
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What sum invested for 1.5 year amounts to $132651$ in $1dfrac12$ years compounded half-yearly the rate of $4% $ p.a.?
Related QuestionVideo TranscriptWhat sum invested for 1 and half years compounded half yearly the rate 8%?What sum invested for 1 1 )/( 2 years compounded half yearly the rate 8% pa will amount to 140608?What sum is 1.5 years compounded half yearly?How do you calculate compound interest for 1.5 years compounded annually?
Answer
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Hint: We have to find the principal amount for which $4% $ interest is compounded half-yearly for $1dfrac12$ years which sum to a final amount of $Rs.132651$ . So, using the compound interest formula which is Final Amount = $principal times left( 1 + dfracrate100 right)^time$ we will find the principal amount.
Given:
Interest rate = $4% $ per annum, for compounded half years the interest rate becomes half that is $2% $
Final amount =
$Rs.132651$
Time = $1dfrac12$ = $1.5$ years, for compounded half years the time becomes $3$ half years.
Complete step-by-step solution:
The formula for compound interest is
Total Amount = $textprincipal times left( 1 + dfracrate100 right)^time$.
Substituting all the values given in the question, the formula becomes,
$132651$ = $textprincipal times left( 1 + dfrac2100 right)^3$
Solving the rate of interest part,
Cross
multiplying and making the denominator equal,
$132651$ = $textprincipal times left( dfrac100 + 2100 right)^3$
$Rightarrow 132651$ = $textprincipal times left( dfrac102100 right)^3$
$Rightarrow 132651$ = $textprincipal times left( 1.02 right)^3$
$Rightarrow 132651$ = $textprincipal times 1.06120$
Dividing the final amount $132651$ by $1.06120$,
$principal = dfrac1326511.06120$
Finally, we get the principal amount
as,
$principal = 125000$
The principal amount is $Rs.125000$
Therefore, $Rs.125000$ is compounded half-yearly for $1.5$ years a rate of interest of $4% $ p.a. to get the final amount as $Rs.132651$.
We can cross-check the principal amount by using the same compound interest formula where we substitute principal amount as $Rs.125000$ rate of interest as $2% $ half-yearly and time as $3$ half years,
Final Amount = $textprincipal times left( 1 + dfracrate100
right)^time$
Final Amount = $125000 times left( 1 + dfrac2100 right)^3$
Final Amount = $125000 times left( 1 + 0.02 right)^3$
Final Amount = $125000 times left( 1.02 right)^3$
Final Amount = $125000 times 1.06120$
Final Amount = $132650 cong 132651$
Therefore, $Rs.125000$ is the correct principal amount.
Note: Compound interest is the interest calculated on the predominant and the interest accrued over the preceding period. It is distinct from easy interest, where interest isn't introduced to the principal while calculating the interest some point of the following duration. Compound interest unearths its usage in the maximum of the transactions in the banking and finance sectors and different regions.
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'Rose invests $ 28,000 8 % /a compounded semi-annually What is the total amount of the interest after 9 years?'
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Video Transcript
Hello everyone. We are going to solve a question in this question we are given principal that is p is equal to $28,000. Here we are giving time That still is equals to nine years. Next we argue and read That is it R. is equals to eight poison. So here we are giving this amount is compounded Sammy and willie, Sammy and willie. And here we have to find the total amount after nine news. So from here for semi annually compounded we double the time that is given to us. That is the dash is equal to nine multiplied with two which is 18 news. And we have the rate that is our is 8% divided by two. Here we have our 8% divided by two that is 4%. So from here we have amount E. Is he going to p. Multiplied with one plus R. Dash divided by 100 raised to the power T. Dash. So after putting the values we have 28,000 multiplied with one plus four divided by 100 raised to the power 18. So from here we have 28,000 Multiplied with 1.04 raised to the power eating. After solving this we have this is 28,000 Multiplied with 2.025. Here we have 2.0 258 And this is equals 25672 2.4. So that is amount is equals to amount Is he equals two $567 2 2.4. Which is the final answer of this question. Thank you.
What sum invested for 1 and half years compounded half yearly the rate 8%?
Find the sum invested for 112 years compounded half-yearly the rate of 8% per annum. that will amount to Rs. 17576.What sum invested for 1 1 )/( 2 years compounded half yearly the rate 8% pa will amount to 140608?
125000. Step-by-step explanation: Given : Sum invested for 1 whole 1 upon 2 years compounded half yearly the rate 8% per annum will amount to rupees 140608.What sum is 1.5 years compounded half yearly?
12000 is invested for 1.5 years which will be compounded half yearly a rate of 10%.How do you calculate compound interest for 1.5 years compounded annually?
Detailed Solution. Given: P = Rs. 15000, R = 20%, T = 1.5 year.. Concept used: When Calculating semi annually, rate gets halved and time gets doubled.. Calculation: C.I. semi annually ⇒ R = 10%, T = 3 years. C.I. = P [(1 + R/100)T -1] C.I. = 15000[(1 + 10/100)3 -1] = 15000 × (1331 – 1000) × 1000. = 15 × 331. ⇒ C.I. = Rs. 4965.. Tải thêm tài liệu liên quan đến nội dung bài viết What sum invested for 1 and half years compounded half yearly the rate 8% per annum will amount to 140608?