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Linear Equations: Price of Fruits

CAT 1993 Slot 1 · Quantitative Ability · Easy · QA

This is an easy Quantitative Ability question from the CAT 1993 Slot 1 paper. It tests QA. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Two oranges, three bananas and four apples cost Rs.15. Three oranges, two bananas and one apple cost Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?

  1. A.

    Rs. 10

  2. B.

    Rs. 8

  3. C.

    Rs. 15

  4. D.

    Cannot be determined

Answer

C

Explanation

Let oo, bb, and aa be the costs of an orange, a banana, and an apple respectively. 2o+3b+4a=152o + 3b + 4a = 15 3o+2b+a=103o + 2b + a = 10 Adding the two equations: 5o+5b+5a=25  ⟹  o+b+a=55o + 5b + 5a = 25 \implies o + b + a = 5. Therefore, 3o+3b+3a=3(5)=153o + 3b + 3a = 3(5) = 15.

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