Question : If a : b = c : d, then which of the following ratios is equal to a : c?
Option 1: a : d
Option 2: b : c
Option 3: a + d : b + c
Option 4: a + b : c + d
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: a + b : c + d
Solution :
$a : b = c : d$
⇒ $\frac{a}{b}$ = $\frac{c}{d}$
⇒ $\frac{a}{b}$ + 1 = $\frac{c}{d}$ + 1
⇒ $\frac{a+b}{b}$ = $\frac{c+d}{d}$
⇒ $\frac{b}{d}$ = $\frac{a+b}{c+d}$
So, b : d = (a + b) : (c + d)
Again,
a : b =c : d
⇒ $\frac{a}{b}$ = $\frac{c}{d}$
⇒ $\frac{a}{c}$ = $\frac{b}{d}$
Therefore, a : c = b : d = (a + b) : (c + d)
Hence, the correct answer is (a + b) : (c + d).
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
