Question

Nine persons went to a hotel for taking their meals. 8 of them spent Rs. 12 each on their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. What was the total money spent by them?

• A. \( 118 \)
• B. \( 117 \)
• C. \( 120 \)
• D. \( 107 \)
• E.

Hint:

When dealing with average expenditure problems, set up an equation based on the average and solve for the total expenditure.

Answer 1

The Correct Option is B

Let the average expenditure per person among the nine individuals be \( x \). This means the total expenditure for all nine individuals is \( 9x \). The first eight individuals spent \( 12 \times 8 = 96 \). The ninth individual spent \( x + 8 \). Thus, the total expenditure can be expressed as: \[ 96 + (x + 8) = 9x \] Step 2: Solving for \( x \): \[ 96 + x + 8 = 9x \] \[ 104 + x = 9x \] \[ 104 = 8x \] \[ x = \frac{104}{8} = 13 \] Step 3: Calculating the total expenditure: \[ 9 \times 13 = 117 \] Thus, the total amount spent is Rs. 117.