All Exams Test series for 1 year @ ₹349 only
Question

A sum amounts to ₹6,600 in 2 years and ₹7,200 in 4 years at simple interest. What is the rate of interest per annum?

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is
5%

To solve the problem, we need to determine the rate of simple interest per annum, given that a sum amounts to ₹6,600 in 2 years and ₹7,200 in 4 years.

  1. First, let's recall the formula for calculating the simple interest (SI):
    \(\text{SI} = \frac{P \times R \times T}{100}\)where P is the principal, R is the rate of interest per annum, and T is the time in years.
  2. We are given two conditions:
    • The amount after 2 years is ₹6,600.
    • The amount after 4 years is ₹7,200
  3. Calculate the simple interest earned during the period from the 2nd year to the 4th year:
    • The interest earned in 4 years minus the interest earned in 2 years is: 
      \(\text{SI}_{4 \ \text{years}} - \text{SI}_{2 \ \text{years}} = 7200 - 6600 = 600\)
  4. Since the interest over the additional 2 years is ₹600, we can equate it to the simple interest formula for the additional 2 years, i.e., \(\text{SI} = \frac{P \times R \times 2}{100} = 600.\)
  5. As P does not change, let's find the total principal:
    • The amount at the end of 2 years is the principal plus the interest for those 2 years: 
      \(6600 = P + \frac{P \times R \times 2}{100}\)
    • And the amount at the end of 4 years: 
      \(7200 = P + \frac{P \times R \times 4}{100}\)
  6. By calculating for simple interest earned in 2 years from step 4:
    • The difference between the principal only depends on the interest from step 3: 
      \(\frac{P \times R \times 2}{100} = 600\)
    • Solving for the rate \(R\), use: 
      \(R = \frac{600 \times 100}{P \times 2}\).
  7. Hence, solving:
    • Using \( P = \frac{6600}{1 + \frac{R \times 2}{100}} \) which were found equal earlier.
    • From \( \frac{6600}{1 + \frac{R \times 2}{100}} = 6600 - 600 \), and considering:
      • Upon solving the rate:
        \(\frac{600}{2} = \frac{P \times R}{100}\)
      • Simplifying for \(R\), yields \(R = 5\)%.
  8. The rate of interest is thus verified as 5% per annum.

Hence, the correct answer is 5%.

Was this answer helpful?

Similar Questions

  1. If the simple interest on a sum of Rs. A at 6% per annum for 2 years is equal to the simple interest on Rs. B at 4% per annum for 3 years, then what is the ratio of A to B?
  2. A sum doubles in 5 years at simple interest. What is the annual rate?
  3. A certain sum becomes 4 times itself in 8 years at simple interest. In how many years will it become 12 times itself at the same rate?
  4. If the simple interest on a certain sum of money for 4 years at 5% per annum is ₹500, what would be the simple interest on the same sum for 6 years at 7% per annum?
  5. If $P = \text{Rs. } 1500$, $R = 8.5\%$, and $T = 2.5 \text{ years}$, find the simple interest.
  6. A donor deposits ₹8,00,000 in a trust that earns 10% simple interest annually. The interest is used to distribute three annual awards. If the second and third awards are ₹35,000 and ₹20,000 respectively, what is the value of the first award?
  7. Rs. $1500$ is lent out at $6\%$ per annum simple interest for $3$ years. Find the amount after $3$ years.
  8. A sum of ₹8000 is lent out in two parts, one at 5% simple interest and the other at 7% simple interest. If the annual interest is ₹500, the sum lent at 7% is:

  9. What will the ratio be of the simple interest earned on a given amount at the same interest rate over 6 years compared to that earned over 9 years?

  10. Pranav borrows a sum of ₹6,23,305 at the rate of 10% per annum simple interest. At the end of the first year, he repays ₹16,390 towards return of principal amount borrowed. If Pranav clears all pending dues at the end of the second year, including interest payment that accrued during the first year, how much does he pay (in ₹) at the end of the second year?


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?

Need Expert Advice?
Upcoming Exams
SSC JHT
September 08, 2026
SSC Stenographer
September 09, 2026
SSC Selection Post
September 16, 2026
Test Series
SSC CGL img
SSC
SSC CGL (Tier I + Tier II) 2026 Mock Test Series - Latest Pattern
2500 Tests 6 Tests Free
3945 Attempts
4.2(838)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App