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Divide 13,680 in three parts such that 1stpart is 3/5thof the third part and the ratio between 2nd and 3rdpart is 4 : 7. How much is the fi…

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Divide 13,680 in three parts such that 1stpart is 3/5thof the third part and the ratio between 2nd and 3rdpart is 4 : 7. How much is the first part?
  • A3780
  • B6300
  • C3600
  • D4800
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Discussion 1

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CCommunity
Let the 3rd part be ‘x’.

⇒ 1st part = 3x/5

⇒ 2nd part = 4x/7

13680 = (3x/5) + (4x/7) + x

⇒ 13680 = 76x/35

⇒ x = 6300

1st part = 3 × 6300/5 = 3780

∴ The first part = 3780