At what rate per annum will the simple interest on a certain sum of money be 1/5 of the amount in 10 yr?

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• Question
• 
  Options
• A. 5%
• B. 2%
• C. 1%
• D. 8%


• Correct Answer
• 2% 

  Explanation

  Let sum = P, then SI = P/5 time = 10 yr.
  ? Rate = (100 x P)/(P x 5 x 10) = 2%

Simple Interest problems

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• 1. 

  Simple interest for the sum of ? 1500 is ? 30 in 4 yr and ? 60 in 8 yr. Find the rate of simple interest.

• 
  Options
• A. 2.5%
• B. 1.5%
• C. 0.5%
• D. 0.25%
Discuss
• 2. 

  At simple interest, a sum becomes 3 times in 20 yr. Find the time, in which the sum will be double at the same rate of interest.

• 
  Options
• A. 8 yr
• B. 10 yr
• C. 12 yr
• D. 14 yr
Discuss
• 3. 

  At a simple interest, a sum amounts to ? 1012 in 2 1/ 2 and becomes ? 1067.20 in 4 yr. What is the rate of interest

• 
  Options
• A. 2.5%
• B. 3%
• C. 4%
• D. 5%
Discuss
• 4. 

  A certain sum becomes 8 fold in 15 yr at simple interest. What will be the rate interest?

• 
  Options
• A. 465/3%
• B. 462/3%
• C. 465/8%
• D. 4612/11%
Discuss
• 5. 

  How long will a sum of money invested at 5% per annum SI take to increase its value by 50%

• 
  Options
• A. 10 yr
• B. 12 yr
• C. 15 yr
• D. 7 yr
Discuss
• 6. 

  Mr. Deepak invested an amount of ? 21250 for 6 yr. At what rate of simple interest, will he obtain the total amount of ? 26350 at the end of 6 yr?

• 
  Options
• A. 6% pa
• B. 5% pa
• C. 8% pa
• D. 12% pa
Discuss
• 7. 

  The simple interest on ? 4000 in 3 yr at the rate of R % per annum equals equals to the simple interest on ? 5000 at the rate of 12% per annum in 2 yr The value of R is

• 
  Options
• A. 6%
• B. 8%
• C. 9%
• D. 10%
Discuss
• 8. 

  A sum of money amounts to ? 2240 at 4% per annum simple interest in 3 yr. The interest on the same sum for 6 months at 3.5% per annum is

• 
  Options
• A. ? 30
• B. ? 50
• C. ? 35
• D. ? 150
Discuss
• 9. 

  The simple interest on a sum of money at 9% per annum for 5 yr is half the sum. What is the sum?

• 
  Options
• A. ? 5800
• B. ? 5000
• C. ? 7000
• D. Data is inadequate
Discuss
• 10. 

  The simple interest on a sum of money at 8% per annum for 6 yr is half the sum. What is the sum?

• 
  Options
• A. ? 4800
• B. ? 6000
• C. ? 8000
• D. Data is inadequate
Discuss



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A sum of money becomes 8 / 5 of itself in 5 years at a certain rate of simple interest .find the rate of interest.

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Solution

Given: Time, T=5 years

Let the principal be P

Rate of interest =R

Amount, A=8P5

Simple Interest, S.I= Amount − Principal
=8P5−P

=3P5

∴S.I=3P5
Again, S.I=P×R×T100

⇒3P5=P×R×5100

⇒35=5R100

⇒35=R20

⇒R=3×205

⇒R=3×4

∴R=12.

The required rate of interest is 12%.

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A sum of money becomes 6 times of itself in 8 years. Find the rate of Simple Interest.