5/12 of which sum is equal to 3 3/4 of ₹ 100? · ABC26GN1105
Subject: General Aptitude · Chapter: Simplification
$\frac{5}{12}$ of which sum is equal to $3 \frac{3}{4}$ of ₹ 100?
(a)₹ 750
(b)₹ 800
(c)₹ 900
(d)₹ 1000
Answer
Answer (as printed): C
Explanation
Let the required sum be ₹ $x$. Then, $\frac{5}{12}$ of $x=3 \frac{3}{4}$ of $100 \Leftrightarrow \frac{5 x}{12}=\left(\frac{15}{4} \times 100\right)=375$ $$\Leftrightarrow x=\left(\frac{375 \times 12}{5}\right)=900 .$$
Explanation as extracted from the printed page; notation may be imperfect.