Multiple choice

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Neha, Priya and Jyoti start a beauty parlour in partnership. Neha's investment is 125% of Jyoti's investment and Jyoti's investment is 120% of Priya's investment. If their profit is distributed according to their investments, what will be the profit share of Priya? 1. The difference between the profits of Neha and Jyoti is Rs. 43,608. 2. The profit of Neha is Rs. 2,18,040.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements (1) and (2) together are sufficient, but neither of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Both statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Priya's investment be P. Then Jyoti's is 1.2P and Neha's is 1.25 * 1.2P = 1.5P. Since profit is distributed by investment, the ratios are fixed. Either statement provides a specific value for one person's profit, which allows calculating the others' shares using the fixed ratios.

AI explanation

From the given data, the ratio of investments for Neha, Priya, and Jyoti can be derived as 15 to 8 to 12 using the percentage relationships. Statement 1 provides the difference between the profits of Neha and Jyoti, which corresponds to 3 ratio parts, allowing you to calculate the value of one part and find Priya's 8-part profit share. Statement 2 directly provides Neha's profit, which corresponds to 15 parts, so you can find the value of one part and subsequently determine Priya's profit share. Because each statement independently allows for the calculation of Priya's profit, each statement alone is sufficient.

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