Cost of fruit combination

CMAT 2019 · Quantitative Techniques & Data Interpretation · Easy · Algebra

Two oranges, three bananas and four apples cost Rs. 1515. Three oranges, two bananas and one apple cost Rs. 1010. I bought 33 oranges, 33 bananas and 33 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 o,b,ao, b, a be the costs of an orange, banana, and apple respectively.

2o+3b+4a=15— (1)2o + 3b + 4a = 15 \quad \text{--- (1)} 3o+2b+a=10— (2)3o + 2b + a = 10 \quad \text{--- (2)}

Adding equations (1) and (2): 5o+5b+5a=25  ⟹  o+b+a=55o + 5b + 5a = 25 \implies o + b + a = 5

Cost of 33 oranges, 33 bananas, and 33 apples: 3(o+b+a)=3×5=Rs. 153(o + b + a) = 3 \times 5 = \text{Rs. } 15

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