Question
Nikhil and Swati began a business with investments in a 5:3
ratio. After 6 months, Tarun entered the partnership with an investment equal to the average of both. If the total profit after 18 months was Rs. 3,24,000, what was Swati’s share of the profit?Solution
ATQ,
Let initial investments be Rs. ‘5x’ and Rs. ‘3x’.
Tarun’s investment = (5x + 3x)/2 = Rs. ‘4x’
Profit ratio = (5x × 18) : (3x × 18) : (4x × 12) = 90 : 54 : 48
Simplify → 15:9:8
So, Swati’s share = 324000 × (9/32) = Rs. 91,125
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