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Question

Amit and Shikha initiated a business, with Shikha investing Rs. 6,000 more than Amit. After one year, Amit added Rs. 4,000 more to his initial investment, while Shikha withdrew Rs. 16,000 from her initial investment. After an additional 4 months, Shikha withdrew all her remaining investment, while Amit continued until the end of the year. Determine the ratio of Amit's profit share to Shikha's profit share.

A 2:5 Correct Answer Incorrect Answer
B 3:2 Correct Answer Incorrect Answer
C 5:6 Correct Answer Incorrect Answer
D 6:7 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

We can say that Let, the initial investment of 'Amit' be Rs. 'a'. So, the initial investment of 'Shikha' = Rs. (a + 6000) ATQ, Ratio of profit shares of 'Amit' and 'Shikha' is = {[a × 12 + (a + 4000) × 12]:[(a + 6000) × 12 + (a + 6000 - 16000) × 4]} = {[12 × (a + a + 4000) ]:[4 × (3a + 18000 + a - 10000) ]} = {[3 × (2a + 4000) ]:{(4a + 8000) } = {[6 × (a + 2000) ]:[4 × (a + 2000) ]} = 6:4  = 3:2

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