1.

Rs. 430 are divided amongst A, B, C so that 5 times A’s share, six times B’s share and nine times C’s share are all equal. Find C’s share.1). Rs. 1302). Rs. 1503). Rs. 1704). Rs. 175

Answer»

TOTAL MONEY which is divided = Rs. 430

As per the given information:

5 × A’s share = 6 × B’s share = 9 × C’s share = k

∴ A’s share = k/5

∴ B’s share = k/6

∴ C’s share = k/9

∴ total amount $(= \FRAC{k}{5} + \frac{k}{6} + \frac{k}{9})$

$(\begin{array}{l} \RIGHTARROW \;\frac{k}{5} + \frac{k}{6} + \frac{k}{9} = 430\\ \Rightarrow \frac{{k\;\left( {54 + 45 + 30} \right)}}{{270}} = 430 \end{array})$

⇒ 129 k = 430 × 270

$(\Rightarrow k = \frac{{430 \times 270}}{{129}} = 900)$

∴ C’s share = k/9 = 900/9 = Rs. 100


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