Multiple choice

Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. Salaries of A, B and C are in ratio of 5 : 6 : 8. A saves 25% of his salary and B saves 20% of his salary. Who among them saves the most money? I. 15% of C's salary is Rs. 800 more than 20% of A's salary. II. C saves Rs. 300 more than B does. III. A spends Rs. 1000 more than C does on electricity.

  1. Only statements I and II

  2. Only statements I and III

  3. Only statements II and III

  4. All of the statements together

  5. None of the statements
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Salaries: 5x, 6x, 8x. Savings: A=0.25(5x)=1.25x, B=0.2(6x)=1.2x, C=0.8x (if we knew C's savings rate). I and II together allow calculation of x and comparison of savings. III is redundant.

AI explanation

Let the salaries of A, B, and C be 5x, 6x, and 8x respectively. A's savings are 25% of 5x (1.25x) and B's savings are 20% of 6x (1.2x). To find who saves the most, we must compare these against C's savings. Statement I establishes the exact value of x using the equation 1.20x = 0.25x + 800, allowing us to calculate the exact savings amounts for all three. Statement II provides C's savings directly relative to B's (1.2x + 300), which allows for a direct numerical comparison. Statement III is insufficient as it introduces unrelated electricity expenditure. Thus, only statements I and II are sufficient.

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