Question

Six persons went to a hotel to have their meals. Five of them spent ₹30 each on their meals. The sixth person spent ₹50 more than the average expenditure of all the six. What was the total money spent by all the persons?

• A. ₹270
• B. ₹240
• C. ₹300
• D. ₹264

Answer 1

Answer:

B. ₹240

Let the total expenditure be (T).

Given

• 5 persons spent: (5 \times 30 = 150)

• Let the 6th person spent = (x)

So,

$T = 150 + x$
Average expenditure

$\text{Average} = \frac{T}{6}$

Given:

$x = \frac{T}{6} + 50$

Substitute (T)

$x = \frac{150 + x}{6} + 50$

Multiply both sides by 6:

$6x = 150 + x + 300$

$6x = 450 + x$

$5x = 450 \Rightarrow x = 90$
Total expenditure

$T = 150 + 90 = 240$
Final Answer: ₹240