Nine persons went to the hostel for taking their meals, 8 of them spent Rs 12…

2024

Nine persons went to the hostel for taking their meals, 8 of them spent Rs 12 each on their meals and ninth spend Rs 8 more then the average expenditure of all nine. What is the total money spent by them ?

  1. A.

    103

  2. B.

    112

  3. C.

    117

  4. D.

    123

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Show answer & explanation

Correct answer: C

Answer: 117

Let the average expenditure of the nine persons be x.

Total spent by eight persons = 8 × 12 = 96. The ninth person spends x + 8.

Set up the average: (96 + (x + 8)) ÷ 9 = x.

Solve: 96 + x + 8 = 9x ⇒ 104 = 8x ⇒ x = 13.

Total money spent = 9 × x = 9 × 13 = 117.

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