Question

Divide ₹370 into thee parts such that second part is 1/4th of the third part and the ratio. Between the first and the third part is 3:5 find each part

Answer 1

Dear student,
$$\begin{gathered} Letthefirstpartbe\text{'}3x\text{'} \\ andthirdpartbe\text{'}5x\text{'} \\ also,secondpart=\frac{1}{4}\times 5x=\frac{5x}{4} \\ Acc,toquestion, \\ 3x+\frac{5x}{4}+5x=370 \\ \Rightarrow \frac{12x+5x+20x}{4}=370 \\ \Rightarrow 37x=370\times 4 \\ \Rightarrow x=\frac{370\times 4}{37} \\ \Rightarrow x=40 \\ thusfirstpart=3x=3\times 40=120 \\ secondpart=\frac{5x}{4}=\frac{5}{4}\times 40=50 \\ thirdpart=5x=5\times 40=200 \end{gathered}$$
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