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Divide Rs. 221 in the ratio 1 : 3 : 6 : 7. The rupees in the respective ratios are

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Divide Rs. 221 in the ratio 1 : 3 : 6 : 7. The rupees in the respective ratios are
  • A13, 39, 77 & 92
  • B13, 39, 79 & 90
  • C13, 39, 78 & 91
  • D13, 40, 80 & 91
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Let the parts be x, 3x, 6x and 7x respectively.

⇒ x + 3x + 6x + 7x = 221

⇒ 17x = 221

⇒ x = 221/17 = 13

⇒ 3x = 3 × 13 = 39

⇒ 6x = 6 × 13 = 78

⇒ 7x = 7 × 13 = 91

∴ The rupees in the respective ratios are 13, 39, 78 & 91.