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Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is?
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Ram invested a sum of 12000 at the rate of 10% per annum simple intere...
Calculation:
Let's assume the first sum invested by Ram at 10% per annum simple interest is Rs. X.
The second sum invested by Ram at 20% per annum simple interest is Rs. Y.
Interest earned on X at 10% per annum:
The interest earned on X at 10% per annum can be calculated using the formula:
Interest = (Principal * Rate * Time) / 100
Let's assume the time period for both investments is 1 year.
So, the interest earned on X at 10% per annum is (X * 10 * 1) / 100 = X/10.
Interest earned on Y at 20% per annum:
The interest earned on Y at 20% per annum can be calculated using the same formula:
Interest = (Principal * Rate * Time) / 100
So, the interest earned on Y at 20% per annum is (Y * 20 * 1) / 100 = Y/5.
Total interest earned on both sums:
The total interest earned at the end of 1 year is given as the interest earned on the whole sum at 14% per annum.
Let's assume the whole sum invested by Ram is Rs. Z.
So, the interest earned on Z at 14% per annum is (Z * 14 * 1) / 100 = 7Z/50.
According to the question, the total interest earned on both sums (X and Y) is equal to the interest earned on the whole sum Z.
Therefore, X/10 + Y/5 = 7Z/50.
Simplifying the equation:
Multiply both sides of the equation by 50 to eliminate the denominators.
5X + 10Y = 7Z.
Since we don't have the exact values of X, Y, and Z, we cannot solve this equation directly. However, we can make some observations.
Observations:
1. As the rate of interest increases, the interest earned also increases. So, we can assume that Z > X > Y.
2. The sum of the coefficients of X and Y on the left side is 15, while the coefficient of Z on the right side is 7. This means that Z is less than the sum of X and Y.
Conclusion:
Based on these observations, we can conclude that the whole sum Z invested by Ram is greater than the sum of X and Y.
Unfortunately, without further information or any specific values, we cannot determine the exact value of the whole sum Z.
Let's assume the first sum invested by Ram at 10% per annum simple interest is Rs. X.
The second sum invested by Ram at 20% per annum simple interest is Rs. Y.
Interest earned on X at 10% per annum:
The interest earned on X at 10% per annum can be calculated using the formula:
Interest = (Principal * Rate * Time) / 100
Let's assume the time period for both investments is 1 year.
So, the interest earned on X at 10% per annum is (X * 10 * 1) / 100 = X/10.
Interest earned on Y at 20% per annum:
The interest earned on Y at 20% per annum can be calculated using the same formula:
Interest = (Principal * Rate * Time) / 100
So, the interest earned on Y at 20% per annum is (Y * 20 * 1) / 100 = Y/5.
Total interest earned on both sums:
The total interest earned at the end of 1 year is given as the interest earned on the whole sum at 14% per annum.
Let's assume the whole sum invested by Ram is Rs. Z.
So, the interest earned on Z at 14% per annum is (Z * 14 * 1) / 100 = 7Z/50.
According to the question, the total interest earned on both sums (X and Y) is equal to the interest earned on the whole sum Z.
Therefore, X/10 + Y/5 = 7Z/50.
Simplifying the equation:
Multiply both sides of the equation by 50 to eliminate the denominators.
5X + 10Y = 7Z.
Since we don't have the exact values of X, Y, and Z, we cannot solve this equation directly. However, we can make some observations.
Observations:
1. As the rate of interest increases, the interest earned also increases. So, we can assume that Z > X > Y.
2. The sum of the coefficients of X and Y on the left side is 15, while the coefficient of Z on the right side is 7. This means that Z is less than the sum of X and Y.
Conclusion:
Based on these observations, we can conclude that the whole sum Z invested by Ram is greater than the sum of X and Y.
Unfortunately, without further information or any specific values, we cannot determine the exact value of the whole sum Z.
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Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is?
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Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is? 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 Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is?.
Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is? 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 Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram invested a sum of 12000 at the rate of 10% per annum simple interest and another sum at the rate of 20% per annum simple interest.the total interest earned at the end of 1 year is equals to the interest earned on the whole sum at 14% per annum then the whole sum is?.
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