If 2P = 3Q = 5R and P + Q + R = 6200, then the difference between P and R is:

This question was previously asked in
SSC GD Constable (2022) Official Paper (Held On : 31 Jan 2023 Shift 4)
View all SSC GD Constable Papers >
  1. 3000
  2. 2000
  3. 1200
  4. 1800

Answer (Detailed Solution Below)

Option 4 : 1800
Free
SSC GD General Knowledge and Awareness Mock Test
3.4 Lakh Users
20 Questions 40 Marks 10 Mins

Detailed Solution

Download Solution PDF

Given:

2P = 3Q = 5R

P + Q + R = 6200

Concept or Formula:

Use the given equations to express P, Q, and R in terms of a common variable.

Substitute these expressions into the second given equation to solve for the common variable.

Then calculate the values of P and R using the common variable.

The difference between P and R can be found by subtracting the smaller value from the larger one.

Solution:

Let 2P = 3Q = 5R = k (some constant)

⇒ P = k/2, Q = k/3, and R = k/5

Substitute P, Q, R in P + Q + R = 6200

⇒ k/2 + k/3 + k/5 = 6200

Solve the above equation for k,

⇒ k (1/2 + 1/3 + 1/5) = 6200

⇒ k (15/30 + 10/30 + 6/30) = 6200

⇒ k × 31/30 = 6200

⇒ k = 6200 × 30/31

⇒ k = 6000

Substitute k = 6000 in P = k/2 and R = k/5

⇒ P = 6000/2 = 3000 and R = 6000/5 = 1200

Find the difference between P and R

⇒ P - R = 3000 - 1200 = 1800

Therefore, the difference between P and R is 1800.

Latest SSC GD Constable Updates

Last updated on Jul 8, 2025

-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.

-> 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.

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

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

-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.

More Simple Ratios Questions

Get Free Access Now
Hot Links: teen patti sequence teen patti all teen patti master gold apk teen patti bliss