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Question

The interest earned on Rs. 2250 at the rate 3% simple interest per annum for 2 years will be:

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

Rs. 135

Calculating Simple Interest Earned

Simple interest is a type of interest that is calculated only on the principal amount. It is the easiest way to calculate interest on a loan or deposit.

The formula used to calculate simple interest is:

\( \text{Simple Interest (SI)} = \frac{\text{Principal (P)} \times \text{Rate (R)} \times \text{Time (T)}}{100} \)

Let's identify the given values from the question:

  • Principal amount (P) = Rs. 2250
  • Rate of interest (R) = 3% per annum
  • Time period (T) = 2 years

Now, we will substitute these values into the simple interest formula:

\( \text{SI} = \frac{2250 \times 3 \times 2}{100} \)

Let's calculate the simple interest step-by-step:

  1. Multiply the Principal, Rate, and Time: \( 2250 \times 3 \times 2 = 2250 \times 6 = 13500 \)
  2. Divide the result by 100: \( \frac{13500}{100} = 135 \)

So, the simple interest earned is Rs. 135.

ParameterValue
Principal (P)Rs. 2250
Rate (R)3% per annum
Time (T)2 years
Simple Interest (SI)Rs. 135


 

Therefore, the interest earned on Rs. 2250 at the rate of 3% simple interest per annum for 2 years is Rs. 135.

Revision Table: Key Concepts in Simple Interest

TermDefinitionFormula Symbol
PrincipalThe initial amount of money borrowed or invested.P
Interest RateThe percentage at which interest is charged or earned, usually per year.R
TimeThe duration for which the money is borrowed or invested.T
Simple InterestInterest calculated only on the principal amount.SI
AmountThe total sum of principal and interest after a certain time.A = P + SI


 

Additional Information on Interest Types

While this question deals with simple interest, it's useful to know about another common type: compound interest.

  • Simple Interest: Interest is calculated only on the original principal amount. The interest earned does not get added to the principal for future calculations.
  • Compound Interest: Interest is calculated on the principal amount and also on the accumulated interest from previous periods. This means the interest 'compounds' over time, leading to faster growth in the total amount compared to simple interest for the same rate and time (when time is > 1 year).

Understanding the difference between simple and compound interest is crucial for financial calculations, especially concerning savings and loans over longer periods.

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Similar Questions

  1. The simple interest earned on a certain sum of money for 3 years at 15% per annum is ₹2,700. Find the sum.

  2. A sum of money invested at simple interest amounts to ₹21,500 in 5 years and ₹26,000 in 8 years. Find the principal amount (in ₹).

  3. The interest earned on Rs. 1,600 at the rate of 5% simple interest per annum for 6 years would be:

  4. A sum of money was invested at the rate of 7.5% simple interest per annuum for 4 years. If the investments were for 5 years, the interest earned would have been Rs. 375 more. What was the initial sum invested?

  5. At 9.5% simple interest per annum, a sum of money became Rs. 942 in 6 years. The sum invested initially was:

  6. Rs. 750 invested for 3 months gave an interest of Rs. 18. What was the simple rate of interest per annum?

  7. At 12% simple interest per annum a sum of money becomes Rs. 295 in \(1\frac{1}{2}\) years. What was the sum invested?

  8. Rahi deposited Rs. 600 in a bank that promised 8% simple interest per annum. If Rahi kept the money with the bank for 5 years, she will earn an interest of:

  9. At 8% simple interest per annum a sum of money becomes Rs. 300 in \(2\frac{1}{2}\) years. What was the sum invested?

  10. At 5% simple interest per annum a certain sum yields a total amount of ₹2,790 at the end of 3\(\frac{1}{4}\) years. The sum invested was:


Important Questions from Simple Interest

  1. If ₹12,800 is invested in a bank for 5 years at the rate of 9% per annum simple interest. what amount is returned by the bank?

  2. Somu has borrowed ₹10,000 from a money lender with simple interest at a rate of 7% half yearly. How much amount will he pay to the money lender after 3 years?

  3. Find the Simple interest on Rs. 2,400 from 20 March 2019 to 31 may 2019 at \(6{1 \over 4}\) % rate?

  4. If the simple interest for five years is equal is 35% of the principal, that rate of interest is:

  5. A sum fetched a simple interest of Rs. 3,040 at the rate of 8% p.a in 5 years. what is the sum?

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