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

Answer 1

The Correct Option is B

Let the average expenditure of all the nine persons be \( x \). 

Thus, the total expenditure of all nine persons is:

\[ 9x \]

The 8 persons spent:

\[ 12 \times 8 = 96 \]

The ninth person spent \( x + 8 \), so the total expenditure is:

\[ 96 + (x + 8) = 9x \]

Solving for \( x \):

\[ 96 + x + 8 = 9x \]

\[ 104 + x = 9x \]

\[ 104 = 8x \]

\[ x = 13 \]

Thus, the total money spent is:

\[ 9 \times 13 = 117 \]

Thus, the total money spent is Rs. 117.