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Rekha starts a printing business with ₹40000. At the end of the 4th month she puts in ₹20000 more, and at the end of the 9th month she withdraws ₹30000. Sohail is her partner for the whole year with a steady capital of ₹50000. If the year's profit is ₹115000, Rekha's share (in ₹) is:

Competition practiceRatio, Percentage & Commercial Math
  • A55000
  • B43125
  • C57500
  • D60000

Step-by-Step Solution

Rekha's capital-months are ; Sohail's are . The ratio 550 : 600 = 11 : 12 splits ₹115000 into ₹55000 and ₹60000. (₹60000 is Sohail's share and ₹57500 halves the profit as though the two had matched each other. Using the capital she was LEFT with, 30000 : 50000 = 3 : 5, gives ₹43125 — it ignores the eleven months during which she had more money in the firm.)
Answer: A) 55000

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