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A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?
- a)6200
- b)5705
- c)5545
- d)6125
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A sum of Rs. 32,600 is lent out at simple interest for three years suc...
Let the first–year interest = a
Let the amount after the first, second and third years be 42y, 47y and 52y
P × 1.3 = 52y
P = 40y
Principal = 40y
Interest in two years = 47y – 40y = 7y
Interest in first two years
Hence, option B is correct.
Let the amount after the first, second and third years be 42y, 47y and 52y
P × 1.3 = 52y
P = 40y
Principal = 40y
Interest in two years = 47y – 40y = 7y
Interest in first two years
Hence, option B is correct.
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Community Answer
A sum of Rs. 32,600 is lent out at simple interest for three years suc...
To solve this problem, we need to understand that the total amount at the end of each year is given by the sum of the principal and the interest accrued up to that year.
Let's break down the problem step by step:
- **Calculate the total amount at the end of each year:**
Given that the ratio of the amounts at the end of the first, second, and third years is 42 : 47 : 52, we can represent the total amounts as follows:
1st year: 42x
2nd year: 47x
3rd year: 52x
- **Calculate the total interest earned in three years:**
The total interest earned in three years is 30% of the principal amount. Therefore, we have:
Total interest = 0.3 * 32600 = 9780
- **Calculate the principal amount:**
Since the total interest is the sum of the interest earned in each of the three years, we can calculate the principal amount using the total interest and the total amounts at the end of each year:
Principal = Total interest / (Sum of ratios) = 9780 / (42 + 47 + 52) = 9780 / 141 = 69.36
- **Calculate the interest for the first two years:**
To find the interest for the first two years, we need to subtract the principal amount from the total amount at the end of the second year:
Interest for the first two years = Total amount at the end of the second year - Principal
= 47x - 69.36
- **Calculate the exact interest amount:**
Substitute the value of x (which we can find by dividing the principal amount by 42) into the above expression to find the exact interest amount for the first two years.
Therefore, the amount of interest in the first two years is approximately 5705 Rs, which corresponds to option (b).
Let's break down the problem step by step:
- **Calculate the total amount at the end of each year:**
Given that the ratio of the amounts at the end of the first, second, and third years is 42 : 47 : 52, we can represent the total amounts as follows:
1st year: 42x
2nd year: 47x
3rd year: 52x
- **Calculate the total interest earned in three years:**
The total interest earned in three years is 30% of the principal amount. Therefore, we have:
Total interest = 0.3 * 32600 = 9780
- **Calculate the principal amount:**
Since the total interest is the sum of the interest earned in each of the three years, we can calculate the principal amount using the total interest and the total amounts at the end of each year:
Principal = Total interest / (Sum of ratios) = 9780 / (42 + 47 + 52) = 9780 / 141 = 69.36
- **Calculate the interest for the first two years:**
To find the interest for the first two years, we need to subtract the principal amount from the total amount at the end of the second year:
Interest for the first two years = Total amount at the end of the second year - Principal
= 47x - 69.36
- **Calculate the exact interest amount:**
Substitute the value of x (which we can find by dividing the principal amount by 42) into the above expression to find the exact interest amount for the first two years.
Therefore, the amount of interest in the first two years is approximately 5705 Rs, which corresponds to option (b).
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A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer?
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A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer?.
A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 32,600 is lent out at simple interest for three years such that the ratio of the amount at the end of the first, second and third years is 42 : 47 : 52, respectively. A total of 30% interest is obtained in three years. What was the amount of interest (in Rs.) in the first two years?a)6200b)5705c)5545d)6125Correct answer is option 'B'. Can you explain this answer?.
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