Question
Download Solution PDFTwo numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A: B.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Percentage of A used in the sum = 5%
Percentage of B used in the sum = 4%
Percentage of A used in the second sum = 6%
Percentage of B used in the second sum = 8%
The sum of 5% of A and 4% of B is two-thirds of the sum of 6% of A and 8% of B.
Formula Used:
5% of A + 4% of B = (2/3) x (6% of A + 8% of B)
Percentage formula: x% of a = (x/100) x a
Ratio formula: A/B = x/y
Calculation:
Let A = A and B = B.
5% of A = (5/100) x A = 0.05A
4% of B = (4/100) x B = 0.04B
6% of A = (6/100) x A = 0.06A
8% of B = (8/100) x B = 0.08B
⇒ 0.05A + 0.04B = (2/3) x (0.06A + 0.08B)
⇒ 0.05A + 0.04B = (2/3) x 0.06A + (2/3) x 0.08B
⇒ 0.05A + 0.04B = 0.04A + 0.0533B
⇒ 0.05A - 0.04A = 0.0533B - 0.04B
⇒ 0.01A = 0.0133B
⇒ A/B = 0.0133 / 0.01
⇒ A/B = 4/3
The ratio of A:B is 4:3.
Last updated on Mar 12, 2025
-> The MP Police Constable 2023 Final Merit List has been out on 12th March 2025.
-> MP Police Constable 2025 Notification will soon be released on the official website.
-> The The Madhya Pradesh Professional Examination Board (MPPEB) will announce more than 7500 Vacancies for the post of constable.
-> Previously, the notification had invited eligible candidates to apply for 7,090 constable posts.
-> Candidates who have passed 10th or 12th are eligible to apply.
-> The final candidates selected will receive a salary between 19,500 and 62,600 INR.