Class 8 Exam > Class 8 Questions > The compound interest on a certain sum for 2 ...
Start Learning for Free
The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.
- a)Rs. 400
- b)Rs. 500
- c)Rs. 600
- d)Rs. 800
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The compound interest on a certain sum for 2 years at 10% per annum is...
Understanding Compound Interest
To find the principal amount (P), we start with the information given about the compound interest (CI).
- The formula for compound interest is:
- CI = P * (1 + r)^n - P
- Where:
- r = rate of interest (10% or 0.10)
- n = number of years (2 years)
Given that CI is Rs. 525, we rearrange the formula:
- 525 = P * (1 + 0.10)^2 - P
- 525 = P * (1.21 - 1)
- 525 = P * 0.21
- Thus, P = 525 / 0.21 = Rs. 2500
Calculating Simple Interest
Now, we need to calculate the simple interest (SI) on the same sum for double the time at half the rate.
- Double the time = 2 * 2 = 4 years
- Half the rate = 10% / 2 = 5% (or 0.05)
Using the simple interest formula:
- SI = P * r * t
- Where:
- P = Rs. 2500
- r = 0.05
- t = 4 years
Calculating SI:
- SI = 2500 * 0.05 * 4
- SI = 2500 * 0.2
- SI = Rs. 500
Conclusion
Therefore, the simple interest on the same sum for double the time at half the rate percent per annum is Rs. 500.
The correct answer is option 'B'.
To find the principal amount (P), we start with the information given about the compound interest (CI).
- The formula for compound interest is:
- CI = P * (1 + r)^n - P
- Where:
- r = rate of interest (10% or 0.10)
- n = number of years (2 years)
Given that CI is Rs. 525, we rearrange the formula:
- 525 = P * (1 + 0.10)^2 - P
- 525 = P * (1.21 - 1)
- 525 = P * 0.21
- Thus, P = 525 / 0.21 = Rs. 2500
Calculating Simple Interest
Now, we need to calculate the simple interest (SI) on the same sum for double the time at half the rate.
- Double the time = 2 * 2 = 4 years
- Half the rate = 10% / 2 = 5% (or 0.05)
Using the simple interest formula:
- SI = P * r * t
- Where:
- P = Rs. 2500
- r = 0.05
- t = 4 years
Calculating SI:
- SI = 2500 * 0.05 * 4
- SI = 2500 * 0.2
- SI = Rs. 500
Conclusion
Therefore, the simple interest on the same sum for double the time at half the rate percent per annum is Rs. 500.
The correct answer is option 'B'.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer?
Question Description
The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer?.
The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer?.
Solutions for The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The compound interest on a certain sum for 2 years at 10% per annum is Rs.525. The simple interest on the same sum for double the time at half the rate percent per annum is _____.a)Rs. 400b)Rs. 500c)Rs. 600d)Rs. 800Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup