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CAT 1997 — QA Question 25

PercentageEasy
Passage / Data

Direction: Answer the questions based on the following information.

A survey of 200 people in a community who watched at least one of the three channels — BBC, CNN and DD — showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN.

A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900 from if his income is Rs. 5,000, find x%.

Answer & solution

  • A

    20%

  • 15%

  • C

    25%

  • D

    None of these

Solution

The two equations can be written
2000 (x100) + 2000 (y100) = 700 and 2000 (x100) + 3000 (y100)=900

The equations can be simplified to x + y = 35 and 2x + 3y = 90. Solving these two equations simultaneously, we get x = 15%.

CAT 1997 QA Q25: A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. — Solution | TheCATExam