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At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?
- a)Rs. 2700
- b)Rs. 3000
- c)Rs. 2500
- d)Rs. 2300
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
At a certain annual interest rate, a sum of Rs. 10000 gives a total co...
Let rate of interest be r
C.I = Principal × [(1 + r/100)Time - 1]
⇒ 1881 = 10000 × [(1 + r/100)2 - 1]
⇒ 1881/10000 = [(1 + r/100)2 - 1]
⇒ 0.1881 + 1 = (1 + r/100)2
⇒ 1.1881 = (1 + r/100)2
⇒ 1.09 = 1 + r/100
⇒ r = 9%
Simple interest = (Principle × Time × r)/100
⇒ S.I = (10000 × 9 × 3)/100 = 2700
∴ Simple interest = Rs. 2700
Alternative Method :
Given, Principal = Rs. 10000
Amount = 10000 + 1881 = Rs. 11881 (After 2 years)
for calculating the rate for 2 years. we have to take square root of both the values
then we get
P = 100 and A = 109
R = 109 - 100/100 × 100 = 9%
Now,
Simple interest = (Principle × Time × r)/100
⇒ S.I = (10000 × 9 × 3)/100 = 2700
∴ Simple interest = Rs. 2700
Most Upvoted Answer
At a certain annual interest rate, a sum of Rs. 10000 gives a total co...
1881=10000(1+r/100)^2-10000
1881=10000+200r+r^2-100000
r^2+200r-1881=0
from this r=9% Or r=-209%which is not possible
so, r =9%
Now, SI=10000×9×3/100=2700ans..
1881=10000+200r+r^2-100000
r^2+200r-1881=0
from this r=9% Or r=-209%which is not possible
so, r =9%
Now, SI=10000×9×3/100=2700ans..
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At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer?
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At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer?.
At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain annual interest rate, a sum of Rs. 10000 gives a total compound interest of Rs. 1881 in 2 years. What will be the total simple interest in 3 years for the same principal at the same annual interest rate?a)Rs. 2700b)Rs. 3000c)Rs. 2500d)Rs. 2300Correct answer is option 'A'. Can you explain this answer?.
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