Question

A man divides Rs. $8600$ among $5$ sons, $4$ daughters and $2$ nephews. If each daughter receives four time as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?

• A. Rs. $600$
• B. Rs. $1000$
• C. Rs. $800$
• D. Rs. $750$

Answer 1

The correct option is C Rs. $800$

Let $x,y$ and $z$ be thee amount received by son,daughter and nephew respectively

$\therefore$ $8600=5x+4y+2z$

$y=4z,x=5z$

Putting these value in equation (1)

$8600=25z+16z+2z$

$8600=43z$

$z=200$

$y=4z=800$

$\therefore$ Each daughter will receive =$800$ rs