Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the total profit? (I) A, B and C started a shop by investing Rs. 5400, Rs. 14400 and Rs. 16200 respectively. (II) At the end of the year the profits were distributed among them C's share of profit was Rs. 7200. (III) B's share of profit Rs. 6400.

  1. Only I and II

  2. Only II and III

  3. I and II or III

  4. Only I or II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using I, we have the investment ratio A:B:C = 5400:14400:16200 = 3:8:9. From II, C's actual profit is Rs. 7200. Since profit is proportional to investment, total profit = 7200 × (3+8+9)/9 = 7200 × 20/9 = Rs. 16000. From III, B's profit Rs. 6400 gives total = 6400 × 20/8 = Rs. 16000. Statement I is essential - without knowing the investment ratio, we cannot determine total profit from individual shares.

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