Divide 830 into two parts in such a way, that 30% if one part will be 4 more than 40% of the other.
Let the two parts be x and y such that
x+y=830…..(i)
So y=830-x
So the two parts will be x and (830-x)
Now according to the given criteria,
30% of x=40% of (830-x) +4
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⇒ 3x=4(830-x)+40
⇒ 3x=3320-4x+40
⇒ 3x+4x=3360
⇒ 7x=3360
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So the other part is 830-x=830-480=350
Hence the two parts are 480 and 350.
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