ABC26GN3027 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
If $a: b=2: 3$ and $b: c=4: 5$, then $(a+b):(b+c)$ is equal to
(a)6 : 8
(b)8 : 6
(c)20 : 27
(d)27 : 20
Answer
Explanation
$a: b=2: 3, b: c=4: 5=4 \times \frac{3}{4}: 5 \times \frac{3}{4}=3: \frac{15}{4}$. So, $a: b: c=2: 3: \frac{15}{4}=8: 12: 15$. Let $a=8 k, b=12 k, c$ $$=15 k . \text { Then, } \frac{(a+b)}{(b+c)}=\frac{(8 k+12 k)}{(12 k+15 k)}=\frac{20 k}{27 k}=\frac{20}{27} \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.
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