Multiple choice

Passage

Directions: In the following question, you have to find out the statement(s) which is/are redundant for determining the answer of the given question.

Rajesh, Mahesh and Suresh together invested Rs. 20,000 in the ratio of 5 : 3 : 2. What was the percent profit earned by them at the end of one year? Statements: I. Mahesh's share in the profit is Rs. 2400. II. The amount of profit received by Rajesh is equal to the amount of profit received by Mahesh and Suresh together. III. The amount of profit received by Mahesh and Suresh together is Rs. 4000.

  1. II and III both

  2. I and II both

  3. I or III only

  4. Either II and I or II and III

  5. Information in all the three statements is required to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

The main question asks for the percent profit, which requires knowing the total profit since the total investment of Rs. 20,000 is already given. Statement II tells us that Rajesh's share equals the combined share of Mahesh and Suresh, meaning the profit is split 50% to Rajesh and 50% to the other two, making Rajesh's share Rs. X equal to half the total profit. Statement II alone cannot give the total profit without another statement, but combining Statement II with Statement I gives the total profit as twice Rajesh's share, and combining Statement II with Statement III gives the total profit as twice the combined Mahesh and Suresh share. Therefore, either II and I or II and III are needed to determine the total profit and calculate the percent profit, showing one pairing is redundant for the solution.

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