A man divides ₹ 8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as… · ABC26GN0859
Subject: General Aptitude · Chapter: Simplification
A man divides ₹ 8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?
Answer
No answer key was printed for this question.
Explanation
Let the share of each nephew be ₹ $x$. Then, share of each daughter $=₹(4 x)$; share of each son $=₹(5 x)$. So, $5 \times 5 x+4 \times 4 x+2 \times x=8600 \Leftrightarrow 25 x+16 x+2 x=8600$ $$\Leftrightarrow \quad 43 x=8600 \Leftrightarrow x=200 .$$ ∴ Share of each daughter $=₹(4 \times 200)=₹ 800$.
Explanation as extracted from the printed page; notation may be imperfect.