Question

Question 96

In a survey, 200 students were asked what influenced them most to buy their latest CD. The results are shown in the circle graph

(a) How many students said radio influenced them most?
(b) How many students were influenced by radio than by a music video channel?
(c) How many said a friend or relative influenced them or they heard the CD in a Shop?

Answer 1

Fraction of radio (in figure) $=\frac{9}{20}$
Total number of student $=200$
$\therefore$ Number fo students influence by radio the most $=\frac{9}{20}$of $200=\frac{9}{20}\times 200$
$=90$
We have to find.
(Students influenced by radio) - (students influenced by music video channel)
$=(fractionofradio\times Totalnumberofstudents)-(Fractionofmusicvideochannel\times Totalnumberofstudenrts)=\frac{9}{20}\times 200-\frac{2}{25}\times 200=90-16=74$
Hence 74 more students were influenced by ratio than by a music video channel.
(c) We have to find (students who influenced by a friend or relative) + (students who influenced by hearing song in shop)
$=\frac{3}{20}of200+\frac{1}{10}of200=\frac{3}{20}\times 200+\frac{1}{10}\times 200=30+20=50$