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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.
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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. 130
2). Rs. 150
3). Rs. 170
4). Rs. 175
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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