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? Pick one.
A) 2191	B) 2200	C) 2291	D) 2391	E) 2491
Let S be the amount spent for all students   Let P be the amount spent for all politicians   Let A be the amount spent for all actors and   Let L be the amount spent for all leaders.   given that 6 students spent as much as 7 politicians   i.e Amount spent per student x 6 = Amount spent per politician x 7   Or (Total amount spent on students / Total Students) x 6 = (Total amount spent on politicians / Total politicians)x 7   Or., (S/30)x 6 = (P/35)x7   =&gt; S/5 = P/5   =&gt; S = P ..... eqn 1   15 politicians spent as much as 12 actors :   Therefore, (P/35)x15 = (A/20)x12   =&gt; 3P/7 = 3A/5   =&gt; 5P = 7P   =&gt; 5S = 7A (since S = P)   =&gt; A = 5S/7 ........eqn2   and 10 actors spent as much as 9 leaders :   Therefore, (A/20)x10 = (L/27)x9   =&gt; 3A = 2L   =&gt; A = 2L/3   =&gt; 5S/7 = 2L/3 (since A=5S/7)   =&gt; L = 15S/14 ......eqn3   the total amount spent for the party is Rs.9000   i.e., S+P+A+L = 9000   from eqn1, eqn2, eqn3 we have   S + S + 5S/7 + 15S/14 = 9000   53S/14 = 9000   s=9000*14 / 53   s=2290.90 ~ 2291   Hence the answer is Rs.2291   ANSWER:2291
<result>C</result>
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?