a hotel charges rs 500 for a room for a single person per night and additional rs 100 extra for each additional person per night a . a large family takes 2 rooms for two nights and is charged rs 3000 find total number of members in the family

Answer :

Given  a hotel charges Rs 500 for a room for a single person per night and additional Rs 100 extra for each additional person per night .

And

A large family takes 2 rooms for two nights and is charged Rs 3000 .

Let number of family members  =  x 

And As given Rate  Rs 500 for a room for a single person per night . 

So,

2 [ 2 ( Rate of rooms ) +  {  Members of family  - 2 ( family members that include in rate of 500 ) } ( extra rate per person per night ) ] = 3000

So , substitute all values , we get

2 [ 2 ( 500 ) + { x  -  2 } 100 ] = 3000

1000 + 100x - 200 =  1500

100x  =  700

x  = 7

So,

Total family members  =  7  ( Ans )