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Akash starts a business with Rs. 85000 and Payal joins him with Rs. 102000. If the profit at the end of a year is divided in the ratio 1 : 1, then after how many months did Payal join Akash?
  • a)
    3
  • b)
    2
  • c)
    9
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Akash starts a business with Rs. 85000 and Payal joins him with Rs. 10...
GIVEN:
Investment of Akash = Rs. 85000
Investment of Payal = Rs. 102000
Profit is divided among them in the ratio of 1 : 1
CALCULATION:
Akash’s total capital investment = 85000 × 12 = 1020000
Let Payal joined Akash after ‘x’ months
⇒ Payal’s investment time = (12 – x)
⇒ Payal’s total capital investment =102000 × (12 – x)
Now, Ratio of profits = Ratio of total capital investments
⇒ 1∶ 1 = 1020000∶ [102000(12 – x)]
⇒ 102000(12 – x) = 1020000
⇒ 12 – x = 10
⇒ x = 12 – 10 = 2
∴ Payal joined after 2 months
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Akash starts a business with Rs. 85000 and Payal joins him with Rs. 102000. If the profit at the end of a year is divided in the ratio 1 : 1, then after how many months did Payal join Akash?a)3b)2c)9d)8Correct answer is option 'B'. Can you explain this answer?
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