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XAT 2012 — QA & DI Question 20

Simple EquationsEasy
Passage / Data

Answer the following question based on the information given below.

Ramya, based in Shanpur, took her car for a 400 km trip to Rampur. She maintained a log of the odometer readings and the amount of petrol she purchased at different petrol pumps at different prices (given below). Her car already had 10 litres of petrol at the start of the journey, and she first purchased petrol at the start of the journey, as given in table below, and she had 5 litres remaining at the end of the journey.

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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 Rs. 80 for the meal and Akbar pays Rs. 60. Meanwhile, Anthony orders 5 rotis, 5 plates of tadka and 5 cups of tea.  How much (in Rs.) will Anthony pay?

Answer & solution

  • A

    75

  • B

    80

  • C

    95

  • 100

  • E

    None of the above

Solution

Let cost of a Roti, a plate of Tadka and a cup of tea be Rs. a, b and c respectively.

Hence, we have,

10a + 4b + c = 80, and                 … (I)
 
7a + 3b + c = 60                          … (II)

Now, by II – I,

3a + b = 20                                 … (III)

Hence, by, (I) – 3(III), we have,

a + b + c = 20

Hence, 5a + 5b + 5c = 100

Hence, Anthony will pay Rs. 100.

Hence, option (d).

XAT 2012 QA & DI Q20: Three truck drivers, Amar, Akbar and Anthony stop at a road side eating joint. Amar orders 10 rotis, 4 plates — Solution | TheCATExam