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The simple interest on a certain sum for 2(1/2) years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2) years at 8% per annum. Then, the sum is :
- a)Rs. 20,000
- b)Rs. 16,000
- c)Rs. 10,000
- d)Rs. 8,000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The simple interest on a certain sum for 2(1/2)years at 12% per annum ...
Let, the sum be Rs 100x
We know, SI = (P × R × T)/100
According to the question,
⇒ 30x = 36x - 600
⇒ 6x = 600
⇒ x = 100
So,
Sum = 100 × 100 = 10, 000
Hence, the correct answer is "Rs. 10,000".
We know, SI = (P × R × T)/100
According to the question,
⇒ 30x = 36x - 600
⇒ 6x = 600
⇒ x = 100
So,
Sum = 100 × 100 = 10, 000
Hence, the correct answer is "Rs. 10,000".
Most Upvoted Answer
The simple interest on a certain sum for 2(1/2)years at 12% per annum ...
Solution:
Let's assume the sum to be x.
Given:
Time period for the first case = 2(1/2) years = 5/2 years
Rate of interest for the first case = 12%
Time period for the second case = 4(1/2) years = 9/2 years
Rate of interest for the second case = 8%
The simple interest for the first case is Rs. 600 less than the simple interest for the second case.
Now, we can calculate the simple interest for both cases using the formula:
Simple Interest = (Principal × Rate × Time)/100
1. Simple Interest for the first case:
Simple Interest1 = (x × 12 × 5/2)/100
Simple Interest1 = (3x/10)
2. Simple Interest for the second case:
Simple Interest2 = (x × 8 × 9/2)/100
Simple Interest2 = (9x/25)
According to the given condition, Simple Interest1 is Rs. 600 less than Simple Interest2:
Simple Interest2 - Simple Interest1 = 600
(9x/25) - (3x/10) = 600
Now, let's solve the equation to find the value of x.
(9x/25) - (3x/10) = 600
(90x - 75x)/250 = 600
15x/250 = 600
15x = 600 × 250
15x = 150000
x = 150000/15
x = 10000
Therefore, the sum is Rs. 10,000.
Hence, option c) Rs. 10,000 is the correct answer.
Let's assume the sum to be x.
Given:
Time period for the first case = 2(1/2) years = 5/2 years
Rate of interest for the first case = 12%
Time period for the second case = 4(1/2) years = 9/2 years
Rate of interest for the second case = 8%
The simple interest for the first case is Rs. 600 less than the simple interest for the second case.
Now, we can calculate the simple interest for both cases using the formula:
Simple Interest = (Principal × Rate × Time)/100
1. Simple Interest for the first case:
Simple Interest1 = (x × 12 × 5/2)/100
Simple Interest1 = (3x/10)
2. Simple Interest for the second case:
Simple Interest2 = (x × 8 × 9/2)/100
Simple Interest2 = (9x/25)
According to the given condition, Simple Interest1 is Rs. 600 less than Simple Interest2:
Simple Interest2 - Simple Interest1 = 600
(9x/25) - (3x/10) = 600
Now, let's solve the equation to find the value of x.
(9x/25) - (3x/10) = 600
(90x - 75x)/250 = 600
15x/250 = 600
15x = 600 × 250
15x = 150000
x = 150000/15
x = 10000
Therefore, the sum is Rs. 10,000.
Hence, option c) Rs. 10,000 is the correct answer.
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Community Answer
The simple interest on a certain sum for 2(1/2)years at 12% per annum ...
Let, the sum be Rs 100x
We know, SI = (P × R × T)/100
According to the question,
⇒ 30x = 36x - 600
⇒ 6x = 600
⇒ x = 100
So,
Sum = 100 × 100 = 10, 000
Hence, the correct answer is "Rs. 10,000".
We know, SI = (P × R × T)/100
According to the question,
⇒ 30x = 36x - 600
⇒ 6x = 600
⇒ x = 100
So,
Sum = 100 × 100 = 10, 000
Hence, the correct answer is "Rs. 10,000".
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The simple interest on a certain sum for 2(1/2)years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2)years at 8% per annum. Then, the sum is :a)Rs. 20,000b)Rs. 16,000c)Rs. 10,000d)Rs. 8,000Correct answer is option 'C'. Can you explain this answer? for CTET & State TET 2025 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about The simple interest on a certain sum for 2(1/2)years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2)years at 8% per annum. Then, the sum is :a)Rs. 20,000b)Rs. 16,000c)Rs. 10,000d)Rs. 8,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simple interest on a certain sum for 2(1/2)years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2)years at 8% per annum. Then, the sum is :a)Rs. 20,000b)Rs. 16,000c)Rs. 10,000d)Rs. 8,000Correct answer is option 'C'. Can you explain this answer?.
The simple interest on a certain sum for 2(1/2)years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2)years at 8% per annum. Then, the sum is :a)Rs. 20,000b)Rs. 16,000c)Rs. 10,000d)Rs. 8,000Correct answer is option 'C'. Can you explain this answer? for CTET & State TET 2025 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about The simple interest on a certain sum for 2(1/2)years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2)years at 8% per annum. Then, the sum is :a)Rs. 20,000b)Rs. 16,000c)Rs. 10,000d)Rs. 8,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The simple interest on a certain sum for 2(1/2)years at 12% per annum is Rs. 600 less than the simple interest on the same sum for 4(1/2)years at 8% per annum. Then, the sum is :a)Rs. 20,000b)Rs. 16,000c)Rs. 10,000d)Rs. 8,000Correct answer is option 'C'. Can you explain this answer?.
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