Question

Divide $Rs.370$ into three parts such that second part is $\frac{1}{4}$ of the third part and the ratio between the first and the third part is $3:5$. Find each part.

• A. $120,50,200$
• B. $100,50,200$
• C. $240,25,200$
• D. $120,50,100$

Answer 1

The correct option is A $120,50,200$

Let the first and the third parts be $3x$ and $5x$.
Second part $=\frac{1}{4}$ of third part $=\frac{1}{4}\times 5x=\frac{5x}{4}$
Therefore, $3x+\frac{5x}{4}+5x=370$
$⟹\frac{12x+5x+20}{4}=370$
$⟹\frac{37x}{4}=370$
$⟹x=\frac{370\times 4}{37}$
$x=10\times 4=40$
Therefore, first part $=3x=3\times 40=Rs.120$
Second part $=\frac{5x}{4}=5\times \frac{40}{4}=Rs.50$
Thied part $=5x=5\times 40=Rs.200$