Question : If $a: b=3: 7$, then $(2 a+3 b):(3 a+2 b)$ is:
Option 1: $27:23$
Option 2: $23:29$
Option 3: $21:29$
Option 4: $21:23$
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $27:23$
Solution :
Given $a:b=3:7$
Let $a=3k$ and $b=7k$ for some constant $k$.
Now, $(2 a+3 b):(3 a+2 b)$
$=\{2(3k)+3(7k)\}:\{3(3k)+2(7k)\}$
$=(6k+21k):(9k+14k)$
$=27k:23k$
$=27:23$
Hence, the correct answer is $27:23$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
