In a glass, milk and water are mixed in the ratio of 3 : 5 and in another glass they are mixed in the ratio of 6 : 1. In what ratio should the contents of the two glasses be mixed together so that the new mixture contains milk and water in the ratio of 1 : 1?

This question was previously asked in
UP Police Constable Re-Exam 2024 Official Paper (Held On: 24th Aug 2024 Shift 1)
View all UP Police Constable Papers >
  1. 25 : 9
  2. 8 : 3
  3. 27 : 4
  4. 20 : 7

Answer (Detailed Solution Below)

Option 4 : 20 : 7
Free
UP Police Constable Re-Exam Full Test 10
1.1 Lakh Users
150 Questions 300 Marks 120 Mins

Detailed Solution

Download Solution PDF

Given:

Glass 1: Milk:Water = 3:5

Glass 2: Milk:Water = 6:1

New mixture: Milk:Water = 1:1

Formula used:

Using the rule of alligation:

Milk in Glass 1 = 3/8

Milk in Glass 2 = 6/7

Milk in the new mixture = 1/2

Calculation:

⇒ Difference between Glass 2 and new mixture = 6/7 - 1/2 = 5/14

⇒ Difference between Glass 1 and new mixture = 1/2 - 3/8 = 1/8

⇒ Required ratio = (5/14) : (1/8)

⇒ Required ratio = 20:7

∴ The contents of the two glasses should be mixed in the ratio of 20:7.

Latest UP Police Constable Updates

Last updated on Jun 5, 2025

-> UP Police Constable 2025 Notification will be released for 19220 vacancies by June 15th 2025.

-> UPPRPB Constable application window is expected to open in June 2025.

-> UP Constable selection is based on Written Examination, Document Verification, Physical Measurements Test, and Physical Efficiency Test.

-> Candidates can attend the UP Police Constable and can check the UP Police Constable Previous Year Papers. Also, check UP Police Constable Exam Analysis.

More Simple Ratios Questions

Get Free Access Now
Hot Links: teen patti master apk download teen patti real cash teen patti gold apk download