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CAT 1993 — QA Question 8

3 Variable EquationsEasy

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?

Answer & solution

Correct answer: Rs. 15

  • A

    Rs. 10

  • B

    Rs. 8

  • Rs. 15

  • D

    Cannot be determined

Solution

The two equations are : 2o + 3b + 4a = 15 and 3o + 2b + a = 10.

Adding the two equations, we get
5o + 5b + 5a = 25
⇒ o + b + a = 5
∴ 3o + 3b + 3a = 15.

Hence, option (c).

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CAT 1993 QA Q8: Two oranges, three bananas and four apples cost Rs.15. Three oranges, two bananas and one apple cost Rs 10. I — Solution | TheCATExam