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Akash started a business with Rs. 80,000 and after some months Rahul joined him with Rs. 75000. If the profit at the end was distributed in the ratio of 8 ∶ 5, then after how many months did Rahul join Akash? (Assume Akash has worked throughout the year).

Akash started a business with Rs. 80,000 and after some months Rahul joined him with Rs. 75000. If the profit at the end was distributed in the ratio of 8 ∶ 5, then after how many months did Rahul join Akash? (Assume Akash has worked throughout the year). Correct Answer 4

GIVEN:

Capital of Akash = Rs. 80,000 and time = 12 months

FORMULA USED:

Profit = Capital × time,

CALCULATION:

Let the number of months that Rahul has worked be ‘x’.

Capital of Rahul = Rs. 75,000 and time = x months,

The ratio of profit of Akash and Rahul = 8 ∶ 5,

⇒ 8/5 = (80,000 × 12)/(75,000 × x)

⇒ x = (80,000 × 12 × 5)/(75,000 × 8)

⇒ x = 8 months

∴ After 4 months Rahul joined Akash.

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