Defence Exam > Defence Questions > A sum of Rs. 8000 becomes Rs 12500 in 2 years...
Start Learning for Free
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?
- a)13175
- b)14225
- c)12575
- d)15625
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of com...
GIVEN:
Principal = Rs. 8000
Amount = Rs. 12500
Amount = Rs. 12500
FORMULA USED:
Compound interest = P{1 + (rate/100)}time
CALCULATION:
⇒ 12500 = 8000{1 + (rate/100)}2
⇒ 12500/8000 = {1 + (rate/100)}2
⇒ 25/16 = {1 + (rate/100)}2
⇒ 5/4 = {1 + (rate/100)}
⇒ rate/100 = 1/4
⇒ Rate = 25%
Now,
∴ Compound interest = P{1 + (rate/100)}time = 8000{1 + (25/100)}3 = 15625
⇒ 12500 = 8000{1 + (rate/100)}2
⇒ 12500/8000 = {1 + (rate/100)}2
⇒ 25/16 = {1 + (rate/100)}2
⇒ 5/4 = {1 + (rate/100)}
⇒ rate/100 = 1/4
⇒ Rate = 25%
Now,
∴ Compound interest = P{1 + (rate/100)}time = 8000{1 + (25/100)}3 = 15625
Most Upvoted Answer
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of com...
Given information:
- Principal amount (P) = Rs. 8000
- Amount after 2 years (A) = Rs. 12500
Formula for compound interest:
The amount after time 'n' years can be calculated using the formula:
A = P(1 + r/n)^(n*t)
- A = Amount after 'n' years
- P = Principal amount
- r = Rate of interest (in decimal)
- n = Number of times interest is compounded per year
- t = Time in years
Calculating the rate of interest:
We need to find the rate of interest in order to calculate the amount after 3 years.
Let's assume the rate of interest as 'r'.
Using the given information:
12500 = 8000(1 + r/1)^(1*2)
12500/8000 = (1 + r/1)^2
1.5625 = (1 + r)^2
√1.5625 = 1 + r
1.25 = 1 + r
r = 1.25 - 1
r = 0.25
Calculating the amount after 3 years:
Using the rate of interest '0.25', we can calculate the amount after 3 years.
A = P(1 + r/n)^(n*t)
A = 8000(1 + 0.25/1)^(1*3)
A = 8000(1.25)^3
A = 8000 * 1.953125
A ≈ 15625
Conclusion:
Therefore, the sum after 3 years will be Rs. 15625.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer?
Question Description
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer?.
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer?.
Solutions for A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A sum of Rs. 8000 becomes Rs 12500 in 2 years at a certain rate of compound interest. What will be the sum (in Rs.) after 3 years?a)13175b)14225c)12575d)15625Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
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