A certain party consists of four different group of people - 30 students, 35 politicians, 20 actors ...

A certain party consists of four different group of people - 30 students, 35 politicians, 20 actors and 27 leaders. On a particular function day, the total cost spent on party members was Rs.9000. It was found that 6 students spent as much as 7 politicians, 15 politicians spent as much as 12 actors and 10 actors spent as much as 9 leaders. How much did students spent?

Quiz

Answer/Solution

2377.55

Steps/Work

as question says,
30s+35p=20a+27L =9000 say eqn 1
6s=7p , 15p=12a , 10a=9L
or
6s=7p , 7p=(12*7)/15 a =(28/5)a , (28/5)a= (28/50)*9L
OR
6s=7p=(28/5)a=(252/50)L = K
now
s=(k/6), p= (k/7) , a=(.1785k) , L=(.1984k)
put these value in eqn one you will got value of k is 475.511
now 6s=k
hence s=k/6=79.25
there are 30 students hence 79.25*30=2377.55
ANSWER:A