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In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years?
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In how much time would the simple interest on a certain sum be 0.125 t...
Calculation of Simple Interest:
The formula to calculate simple interest is:
Simple Interest (SI) = (Principal × Rate × Time) / 100
Where,
Principal = The initial sum of money
Rate = The rate of interest per annum
Time = The time period for which the interest is calculated
Given:
Principal = P
Rate = 10% per annum = 10/100 = 0.1
Simple Interest = 0.125P
Calculating Time Period:
To find the time period required for the simple interest to be 0.125 times the principal, we can set up the following equation:
0.125P = (P × 0.1 × Time) / 100
Simplifying the equation:
0.125P = (P × 0.1 × Time) / 100
0.125P = 0.001P × Time
0.125 = 0.001 × Time
Time = 0.125 / 0.001
Time = 125
So, the time period required for the simple interest to be 0.125 times the principal is 125 years.
Converting Time Period to Years and Months:
Since the answer options are given in years and fractions of a year, we need to convert the time period to years and months.
125 years = 125 × 12 months = 1500 months
Converting Months to Years and Months:
To convert 1500 months to years and months, we can divide the total months by 12.
1500 months ÷ 12 = 125 years and 0 months
Answer:
The time period required for the simple interest to be 0.125 times the principal is approximately 125 years or 125 years and 0 months.
Therefore, the correct option is a.1½ years.
The formula to calculate simple interest is:
Simple Interest (SI) = (Principal × Rate × Time) / 100
Where,
Principal = The initial sum of money
Rate = The rate of interest per annum
Time = The time period for which the interest is calculated
Given:
Principal = P
Rate = 10% per annum = 10/100 = 0.1
Simple Interest = 0.125P
Calculating Time Period:
To find the time period required for the simple interest to be 0.125 times the principal, we can set up the following equation:
0.125P = (P × 0.1 × Time) / 100
Simplifying the equation:
0.125P = (P × 0.1 × Time) / 100
0.125P = 0.001P × Time
0.125 = 0.001 × Time
Time = 0.125 / 0.001
Time = 125
So, the time period required for the simple interest to be 0.125 times the principal is 125 years.
Converting Time Period to Years and Months:
Since the answer options are given in years and fractions of a year, we need to convert the time period to years and months.
125 years = 125 × 12 months = 1500 months
Converting Months to Years and Months:
To convert 1500 months to years and months, we can divide the total months by 12.
1500 months ÷ 12 = 125 years and 0 months
Answer:
The time period required for the simple interest to be 0.125 times the principal is approximately 125 years or 125 years and 0 months.
Therefore, the correct option is a.1½ years.
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In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years?
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In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years?.
In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum a.1½ years b.1⅔ years c.1¼ years d.1⅓ years?.
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