Question

The number of listeners to a radio station in 1995 was 350 000.

a) In 1996, there were 392 000 listeners. Calculate the percentage increase in the number of listeners from 1995 to 1996. [2]

b) Each year, the radio station invites its listeners to vote for their favourite pieces of music. In 1995, 18% of the listeners voted. Calculate the number who voted. [2]

c) In 1997, the number of listeners was 460 000 and 91 000 of these voted.

c-i) Calculate the percentage of listeners who voted in 1997, giving your answer correct to the nearest whole number. [2]

c-ii) The number who voted in 1997 was 40% more than 1996. Calculate the number who voted in 1996. [3]​

Answer 1

Step-by-step explanation:

a) inc. % = {(392000-350000)/350000}×100 = 420/35=12%

b)voted in '95 = (350000×18)/100 = 6300

c.

i)voted % in 1997 = (91000×100)/460000 = 910/46 = 20%(as nearest whole number)

ii)voter in 1996 ->

1. (91000×40)/100 = 2275 extra
2. total voted = (91000-2275) = 88725 listeners ,in 1996.