Answer (till e part) the questions given in the photo, chapter - 8, comparing quantities class 8
Answers
Step-by-step explanation:
Principal (P) = Rs 10,000 Rate = 8% per annum or 4% per half year Number of years = 1 year There are 2 half years in 1 year. A = P (1 + R/100)n = Rs [10000 (1 + 4/100)2] = Rs [10000 (1 + 1/25)2] = Rs (10000 x 26/25 x 26/25) = Rs 10816 C.I. = A − P = Rs 10816 − Rs 10000 = Rs 816Read more on Sarthaks.com - https://www.sarthaks.com/108234/calculate-the-amount-and-compound-interest-10000-for-year-per-annum-compounded-half-yearly
Answer:
Step-by-step explanation:
(a) You want to calculate the interest on $10800 at 12.5% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $10800.00.
r is the interest rate, 12.5% per year, or in decimal form, 12.5/100=0.125.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 10800 × 0.125 × 3 to get that:
The interest is: $4050.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 10800.00 + 4050.00 = 14850.00. For example:
If you borrowed the $10800.00, you would now owe $14850.00
If you loaned someone $10800.00, you would now be due $14850.00
If owned something, like a $10800.00 bond, it would be worth $14850.00 now.
(b) You want to calculate the interest on $18000 at 10% interest per year after 2.5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $18000.00.
r is the interest rate, 10% per year, or in decimal form, 10/100=0.1.
t is the time involved, 2.5....year(s) time periods.
So, t is 2.5....year time periods.
To find the simple interest, we multiply 18000 × 0.1 × 2.5 to get that:
The interest is: $4500.00
Usually now, the interest is added onto the principal to figure some new amount after 2.5 year(s),
or 18000.00 + 4500.00 = 22500.00. For example:
If you borrowed the $18000.00, you would now owe $22500.00
If you loaned someone $18000.00, you would now be due $22500.00
If owned something, like a $18000.00 bond, it would be worth $22500.00 now.
(c) You want to calculate the interest on $62500 at 8% interest per 6 months after 1.5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $62500.00.
r is the interest rate, 8% per 6 months, or in decimal form, 8/100=0.08.
t is the time involved, 1.5....year(s) time periods.
Since your interest rate is "per 6 months" and you gave your time interval in "year(s)" we need to convert your time interval into "6 months" as well.
Do this by multiplying your time, 1.5- year(s), by 2, since there's two 6-months in 1 year.Do this by multiplying your time, 3 year(s), by 12, since there's 12 months in 1 year.
So, t is 36....6 months time periods.
To find the simple interest, we multiply 62500 × 0.08 × 36 to get that:
The interest is: $180000.00
Usually now, the interest is added onto the principal to figure some new amount after 1.5 year(s),
or 62500.00 + 180000.00 = 242500.00. For example:
If you borrowed the $62500.00, you would now owe $242500.00
If you loaned someone $62500.00, you would now be due $242500.00
If owned something, like a $62500.00 bond, it would be worth $242500.00 now.
(d)You want to calculate the interest on $8000 at 9% interest per 6 months after 1 year(s).
The formula we'll use for this is the simple interest formula, or:
I = P*R*T
Where:
P is the principal amount, $8000.00.
r is the interest rate, 9% per 6 months, or in decimal form, 9/100=0.09.
t is the time involved, 1....year(s) time periods.
Since your interest rate is "per 6 months" and you gave your time interval in "year(s)" we need to convert your time interval into "6 months" as well.
Do this by multiplying your time, 1- year(s), by 2, since there's two 6-months in 1 year.Do this by multiplying your time, 2 year(s), by 12, since there's 12 months in 1 year.
So, t is 24....6 months time periods.
To find the simple interest, we multiply 8000 × 0.09 × 24 to get that:
The interest is: $17280.00
Usually now, the interest is added onto the principal to figure some new amount after 1 year(s),
or 8000.00 + 17280.00 = 25280.00. For example:
If you borrowed the $8000.00, you would now owe $25280.00
If you loaned someone $8000.00, you would now be due $25280.00
If owned something, like a $8000.00 bond, it would be worth $25280.00 now.
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