Question

Divide $₹7400$ among three people $A,BandC$ in ratio $3:5:12.$

Answer 1

Finding the amount of money on $A,BandC$

Let the ratio be $3x:5x:12x$

According to the question,

$$\begin{gathered} 3x+5x+12x=7400 \\ \Rightarrow 20x=7400 \\ \Rightarrow x=\frac{7400}{20} \\ \Rightarrow x=370 \end{gathered}$$

Therefore,

$$\begin{gathered} A=3x=3\times 370=₹1,110 \\ B=5x=5\times 370=₹1,850 \\ C=12x=12\times 370=₹4,440 \end{gathered}$$

Hence, $A,BandC$ have $₹1,110,₹1,850and₹4,440$ respectively.