Question

A man divided$₹9,99,900$ amongst his three sons Jack, John and Sam in the ratio $3:5:1$. How much does each get ?

Answer 1

Finding the amount of money each son got

Given, the ratio of Jack, John and Sam in money $=3:5:1$

And the total money$=₹9,99,900$

Let the share of Jack, John and Sam in money be $3x$, $5x$ and $x$ respectively, where $x$ is multiple of money.

Then, the total money $=3x+5x+x=9x$

$\therefore 9x=₹9,99,900$

$\Rightarrow x=\frac{₹9,99,900}{9}$

$\Rightarrow x=₹1,11,100$ [On dividing numerator and denominator by $9$]

$\therefore$Share of Jack in the money $=3x=3\times (₹1,11,100)=₹3,33,300$

Share of John in the money $=5x=5\times (₹1,11,100)=₹5,55,500$

And, the share of Sam in the money $=x=₹1,11,100$

Hence, Jack, John and Sam will get $₹3,33,300$, $₹5,55,500$ and $₹1,11,100$ respectively.