A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years at simple interest. What is the sum?

This question was previously asked in
SSC GD Previous Paper 1 (Held On: 11 Feb 2019 Shift 1)
View all SSC GD Constable Papers >
  1. Rs. 8946
  2. Rs. 8740
  3. Rs. 8520
  4. Rs. 8800

Answer (Detailed Solution Below)

Option 3 : Rs. 8520
Free
SSC GD General Knowledge and Awareness Mock Test
3.4 Lakh Users
20 Questions 40 Marks 10 Mins

Detailed Solution

Download Solution PDF

Concept Used:

In this type of question, number can be calculated by using the below formulae

Formula Used:

If a sum with simple interest rate, amounts to Rs. ‘A’ in y years. and Rs. ‘B’ in z years. then,

P = (A × z – B × y)/(z – y)

Calculation:

Using the above formulae, we have

P = (10650 × 6 – 11076 × 5)

P = Rs. 8520

Required principal is Rs. 8520 

Alternate Method Sunny 28.7.21 

A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years. at simple interest

Interest of 1 year = 11076 – 10650 = Rs. 426

Interest of 5 year = 426 × 5 = 2130

∴ Required principal = 10650 – 2130 = Rs. 8520

Latest SSC GD Constable Updates

Last updated on Jun 11, 2025

-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.

-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in

-> The SSC GD Merit List is expected to be released soon by the end of April 2025.

-> Previously SSC GD Vacancy was increased for Constable(GD) in CAPFs, SSF, Rifleman (GD) in Assam Rifles and Sepoy in NCB Examination, 2025. 

-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies. 

-> The SSC GD Constable written exam was held on 4th, 5th, 6th, 7th, 10th, 11th, 12th, 13th, 17th, 18th, 19th, 20th, 21st and 25th February 2025. 

-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.

-> The candidates who will be appearing for the 2025 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.  

-> UPSC Prelims Result 2025 Date Out soon @https://upsconline.nic.in/

More Simple Interest Questions

More Interest Questions

Get Free Access Now
Hot Links: teen patti mastar teen patti dhani happy teen patti