Question
Download Solution PDFIf P : Q : R = 5 : 3 : 6, then what will be the ratio of P/Q : Q/R : R/P?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFShortcut Trick
P : Q : R = 5 : 3 : 6
Le P be 5x, Q be 3x and R be 6x
Then, (P/Q) ∶ (Q/R) ∶ (R/P) = (5x/3x) ∶ (3x/6x) ∶ (6x/5x)
Let us take the LCM (3, 6, 5) = 30
So, (P/Q) ∶ (Q/R) ∶ (R/P) = (5x/3x) × 30 ∶ (3x/6x) × 30 ∶ (6x/5x) × 30
∴ Required ratio is 50 ∶ 15 ∶ 36
Alternate Method
Given:
P : Q : R = 5 : 3 : 6
Le P be 5x, Q be 3x and R be 6x.
Concept:
If N is divided into a : b, then
First part = N × a/(a + b)
Second part = N × b/(a + b)
Calculations:
The required ratio = P/Q : Q/R : R/P
Multiplying the above ratio with PQR
⇒ Required ratio = P2R : Q2P : R2Q
Putting values of P,Q and R in above ratio, we get
⇒ Required ratio = (5x)2(6x) : (3x)2(5x) : (6x)2(3x)
⇒ Required ratio = (25x2)(6x) : (9x2)(5x): (36x2)(3x)
⇒ Required ratio = (25)(2) : (3)5: (36)
⇒ Required ratio = 50 : 15 : 36
∴ Required ratio is 50 ∶ 15 ∶ 36.
Last updated on Jun 6, 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 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/