Question
Download Solution PDFIf A ∶ B = 4 ∶ 5 and B ∶ C = 7 ∶ 9 then find A ∶ B ∶ C.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A ∶ B = 4 ∶ 5
B ∶ C = 7 ∶ 9
Calculations:
The ratios are as follows
⇒ A ∶ B = 4 ∶ 5
⇒ B ∶ C = [7 × (5/7)] ∶ [9 × (5/7)]
⇒ B ∶ C = 5 ∶ (45/7)
Then the ratio A ∶ B ∶ C
⇒ A ∶ B ∶ C = 4 ∶ 5 ∶ (45/7)
⇒ A ∶ B ∶ C = 28 ∶ 35 ∶ 45
∴ A ∶ B ∶ C = 28 ∶ 35 ∶ 45
By using cross-multiplication
⇒ A ∶ B = (4 ∶ 5) × 7 = 28 ∶ 35
⇒ B ∶ C = (7 ∶ 9) × 5 = 35 ∶ 45
Then the ratio A ∶ B ∶ C
⇒ A ∶ B ∶ C = 28 ∶ 35 ∶ 45
∴ A ∶ B ∶ C = 28 ∶ 35 ∶ 45
Last updated on Jun 5, 2025
-> The UP Police Jail Warder Notification 2025 will be released for 2833 vacancies by 15th June 2025.
-> The UP Police Jail Warder Selection Process includes four stages which are the Written Test, Physical Standard Test, Physical Measurement Test, and Document Verification.
-> Candidates who will get a final selection for the Jail Warder post will get a salary range between Rs. 21,700 to Rs. 69,100.