A) 490, 392, 280
B) 492, 392, 380
C) 493, 329, 389
D) 393, 290, 360
Correct Answer: A
Solution :
We have, \[4\times \] first part \[=5\times \]second part \[=7\times \]third part = x (say) According to question, \[\frac{x}{4}+\frac{x}{5}+\frac{x}{7}=1162\] \[\Rightarrow \frac{35x+28x+20x}{140}=1162\] \[\Rightarrow 83x=1162\times 140\Rightarrow x=\frac{1162\times 140}{83}=1960\] \[\therefore \text{ First part=}\frac{1960}{4}=490\] Second part\[=\frac{1960}{5}=392\] Third part\[=\frac{1960}{7}=280\]
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