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? How much did Shyam earn? (I) Ram, Shyam and Sandeep together earned Rs. 79200. (II) The ratio of earning Ram and Shyam is 2:1. (III) The ratio of Shyam and Sandeep is 3:2.

  1. Only I and II

  2. Only I and III

  3. All I, II and III

  4. Only II and III

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

All three statements are needed. Let Shyam's earning be the common link. From (II), if Ram:Shyam = 2:1, and from (III) Shyam:Sandeep = 3:2, we can set Shyam = 6x. Then Ram = 12x and Sandeep = 4x. From (I), 12x + 6x + 4x = 79200, so 22x = 79200, giving x = 3600. Shyam earns 6x = Rs. 21600.

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