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Amar, Akbar, Anthony Bill

XAT 2012 · Quantitative Ability & Data Interpretation · Medium · Linear Equations

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Three truck drivers, Amar, Akbar and Anthony stop at a road side eating joint. Amar orders 10 rotis, 4 plates of tadka, and a cup of tea. Akbar orders 7 rotis, 3 plates of tadka, and a cup of tea. Amar pays 80 for the meal and Akbar pays 60. Meanwhile, Anthony orders 5 rotis, 5 plates of tadka and 5 cups of tea. How much (in rupees) will Anthony pay?

  1. A.

    75

  2. B.

    80

  3. C.

    95

  4. D.

    100

  5. E.

    None of the above.

Answer

D

Explanation

Let prices of roti, tadka, tea be r,t,cr, t, c.

  1. 10r+4t+c=8010r + 4t + c = 80
  2. 7r+3t+c=607r + 3t + c = 60 We need 5(r+t+c)5(r + t + c). Multiply (1) by 2: 20r+8t+2c=16020r + 8t + 2c = 160. Multiply (2) by 3: 21r+9t+3c=18021r + 9t + 3c = 180. Subtract: (21r+9t+3c)−(20r+8t+2c)=180−160  ⟹  r+t+c=20(21r + 9t + 3c) - (20r + 8t + 2c) = 180 - 160 \implies r + t + c = 20. Therefore, Anthony pays 5(r+t+c)=5×20=1005(r + t + c) = 5 \times 20 = 100.

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