The questions contain two statements as statement I and statement II. Determine which statement/s is/are necessary to answer the question and give an answer as,
Determine Bhanu's initial investment, given that Aman,
Bhanu, and Chintu started a business together. Statement I: The investment ratio of Aman, Bhanu, and Chintu is 2 : 3 : 4. After 4 months, Aman adds Rs. 10,000 to his investment. After 2 more months, Chintu withdraws Rs. 10,000. The final profit-sharing ratio among Aman, Bhanu, and Chintu is 16 : 18 : 21. Statement II: The investment ratio of Aman, Bhanu, and Chintu is 2 : 3 : 4. After 5 months, Aman increases his investment by Rs. 5,000. After 3 more months, Bhanu withdraws Rs. 10,000. The total profit at the end of the year is Rs. 10,75,000.
AThe data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the questionCorrect AnswerIncorrect Answer
BThe data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the questionCorrect AnswerIncorrect Answer
CThe data either in statement I alone or in statement II alone is sufficient to answer the questionCorrect AnswerIncorrect Answer
DThe data given in both statements I and II together are not sufficient to answer the questionCorrect AnswerIncorrect Answer
EThe data given in both statements I and II together are necessary to answer the question.Correct AnswerIncorrect Answer
Solution
ATQ,
From statement I, The share of Aman, Bhanu and Chintu, = > [2x * 4 + (2x + 10000) * 8] : [3x * 12] : [4x * 6 + (4x – 10000) * 6] = 16 : 18 : 21 = > [8x + 16x + 80000] : [36x] : [24x + 24x – 60000] = 16 : 18 : 21 = > [24x + 80000] : [36x] : [48x – 60000] = 16 : 18 : 21 ATQ, (24x + 80000) / 36x = (16/18) 24x + 80000 = 32x 8x = 80000 x = 10000 The initial investment of Bhanu = 3x = Rs. 30000 Statement I alone is sufficient to answer the question. From statement II, The share of Aman, Bhanu and Chintu, = > [2x * 5 + (2x + 5000) * 7] : [3x * 8 + (3x – 10000) * 4] : [4x * 12] = > [10x + 14x + 35000] : [24x + 12x – 40000] : [48x] = > [24x + 35000] : [36x – 40000] : [48x] Given, 24x + 35000 + 36x – 40000 + 48x = 1075000 108x = 1080000 x = 10000 The initial investment of Bhanu = 3x = Rs. 30000 Statement II alone is sufficient to answer the question. So, either statement I or II is sufficient to answer the given question.
