ABC26GN3057 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

Two numbers are respectively 20 percent and 50 percent more than a third number. These two numbers are in the ratio
(a)2 : 5
(b)3 : 5
(c)4 : 5
(d)6 : 7
Answer
Answer (as printed): C
Explanation
Let the third number be $x$. Then, first number $=120 \%$ of $$x=\frac{120}{100} x=\frac{6 x}{5} .$$ And, second number $=150 \%$ of $x=\frac{150}{100} x=\frac{3 x}{2}$. $$\text { ∴ } \text { Required ratio }=\frac{6 x}{5}: \frac{3 x}{2}=12: 15=4: 5 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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