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Divide Rs 645 into three parts such that the first part is 2/5 of the second part and the ratio between second part and the third part is 4:3

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Since the ratio between second and third part is 4:3,let second and third parts be Rs 4x and Rs 3x respectively
Then the first part=frac25 of Rs 4x=Rsfrac8x5
According to the given,
Rightarrow frac85x+4x+3x=645
Rightarrow frac8x+20x+15x5=645Rightarrow frac435x=645
Rightarrow x=frac645	imes543=75
	herefore First part=Rsfrac85	imes75=Rs120
    Second part=Rs, 4	imes75=Rs300
    Third part=Rs, 3	imes75=Rs225

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Deependra Verma

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