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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. 1302). Rs. 1503). Rs. 1704). Rs. 175 |
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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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