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  9. Q127

ibps-so 2023 · Question 127 of 323

The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question A. The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. B. The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. C. The data either in statement I alone or in statement II alone are sufficient to answer the question. D. The data given in both statements I and II together are not sufficient to answer the question. E. The data in both statements I and II together are necessary to answer the question. Arun, Bhanu, and Chinmey began a business with initial investments of Rs. 'a + 240', Rs. 'a + 80', and Rs. 'a', respectively. After one year, they each made an additional investment of Rs. 'a + 560', Rs.'a + 80', and Rs. '3a', respectively. Find the value of 'a' if the total profit earned at the end of 2 years is Rs. 3300. Statement I: Arun's profit share at the end of 2 years is Rs. 1375. Statement II: Chinmey's profit share at the end of 2 years is Rs. 1100. Determine the value of 'a' using the provided statements.

  1. AA
  2. BB
  3. CCCorrect
  4. DD
  5. EE

Answer: C. C

Explanation

ATQ, Ratio of profit share of Arun, Bhanu and Chinmey = [(a + 240) × 2 + a + 560]:[(a + 80) × 2 + a + 80]:[a × 2 + 3a] = (3a + 1040):(3a + 240):5a Statement I: (3a + 1040)/(11a + 1280) = 1375/3300 = 5/12 Or, 36a + 12480 = 55a + 6400 Or, 19a = 6080 w Or, a = 320 So, data in statement I alone is sufficient to answer the question. Statement II: 5a/(11x + 1280) = 1100/3300 = 1/3 Or, 15a = 11a + 1280 Or, 4a = 1280 Or, a = 320 So, data in statement II alone is sufficient to answer the question.

Source: IBPS SO Prelims Memory Based 2023 (AFO/IT/HR/Marketing) - ixamBee · memory-based

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