CAT 1997QA Question 25

PercentageEasy

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

Correct answer: 15%

  • 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%.

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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