Question

Six persons went to a hotel for meals five of them spent rs 32 each in their meals while the 6 th person spent rs 80 more than the average expenditure of all six tot money spent by all the persons is with explanation

Answer 1

Here is your answer...

Answer 2

Answer: Rs. 288

Step-by-step explanation:

let the sixth person spent money = Rs. x

Now 5 of them pay Rs. 32 each

Total money spent = 32 x 5 + x = Rs. 160+x

Now as given

The 6th person spent Rs. 80 more than the average expenditure of all six

Therefore

$x= \text {average of all 6} + 80\\\\\Rightarrow x= \dfrac{\text {Total amount}}{\text {No of people}} +80\\\\\Rightarrow x= \dfrac{160+x}{6} +80\\\\\Rightarrow x= \dfrac{160+x+480}{6} \\\\\Rightarrow 6x= 640+x\\\\\Rightarrow 5x= 640\\\\\Rightarrow x= Rs. 128$

The total money spent = 160 +128 = Rs. 288

Hence, the total money spent by all the persons is Rs. 288