If $\frac{4}{5}$ of an estate be worth ₹ 16,800 , then the value of $\frac{3}{7}$ of the estate is
(a)₹ 9000
(b)₹ 21,000
(c)₹ 72,000
(d)₹ 90,000
Answer
Answer (as printed): A
Explanation
Let the value of the estate be ₹ $x$. Then, $\frac{4}{5}$ of $x=16800 \Leftrightarrow x=\left(\frac{16800 \times 5}{4}\right)=21000$ $$\Leftrightarrow \frac{3}{7} x=\left(\frac{3}{7} \times 21000\right)=9000 .$$
Explanation as extracted from the printed page; notation may be imperfect.