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What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?
- a)400
- b)392
- c)352
- d)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the simple interest for 9 years on a sum of Rs. 800 if the rat...
8% of 800 for 4 years + 6% of 800 for 4 years = 64 x 4 + 48 x 4 = 256 + 192 = 448. However, we do not know the rate of interest applicable in the 5 th year and hence cannot determine the exact simple interest for 9 years.
Most Upvoted Answer
What is the simple interest for 9 years on a sum of Rs. 800 if the rat...
Given:
Principal amount (P) = Rs. 800
Rate of interest for the first 4 years (R1) = 8%
Rate of interest for the last 4 years (R2) = 6%
Time for the first 4 years (t1) = 4 years
Time for the last 4 years (t2) = 4 years
Total time (t) = 9 years
To find: Simple interest for 9 years
Solution:
We need to find the simple interest for 9 years, but the rate of interest is different for the first 4 years and the last 4 years. Therefore, we cannot directly use the formula for simple interest. Instead, we need to break down the time period into two parts and calculate the interest separately for each part.
Let's first calculate the interest for the first 4 years:
Simple interest for the first 4 years = (P × R1 × t1)/100
= (800 × 8 × 4)/100
= Rs. 256
Now, let's calculate the interest for the last 4 years:
Simple interest for the last 4 years = (P × R2 × t2)/100
= (800 × 6 × 4)/100
= Rs. 192
Total interest for 8 years = Rs. 256 + Rs. 192 = Rs. 448
To find the interest for the 9th year, we can use the formula:
Simple interest for 1 year = (P × R2 × 1)/100
= (800 × 6 × 1)/100
= Rs. 48
Therefore, the total simple interest for 9 years = Rs. 448 + Rs. 48 = Rs. 496
Answer: Option (D) Cannot be determined
Principal amount (P) = Rs. 800
Rate of interest for the first 4 years (R1) = 8%
Rate of interest for the last 4 years (R2) = 6%
Time for the first 4 years (t1) = 4 years
Time for the last 4 years (t2) = 4 years
Total time (t) = 9 years
To find: Simple interest for 9 years
Solution:
We need to find the simple interest for 9 years, but the rate of interest is different for the first 4 years and the last 4 years. Therefore, we cannot directly use the formula for simple interest. Instead, we need to break down the time period into two parts and calculate the interest separately for each part.
Let's first calculate the interest for the first 4 years:
Simple interest for the first 4 years = (P × R1 × t1)/100
= (800 × 8 × 4)/100
= Rs. 256
Now, let's calculate the interest for the last 4 years:
Simple interest for the last 4 years = (P × R2 × t2)/100
= (800 × 6 × 4)/100
= Rs. 192
Total interest for 8 years = Rs. 256 + Rs. 192 = Rs. 448
To find the interest for the 9th year, we can use the formula:
Simple interest for 1 year = (P × R2 × 1)/100
= (800 × 6 × 1)/100
= Rs. 48
Therefore, the total simple interest for 9 years = Rs. 448 + Rs. 48 = Rs. 496
Answer: Option (D) Cannot be determined
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What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?a)400b)392c)352d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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