Question

The manager of a newsagency conducted a survey to find out the most popular newspaper. He found that the sales ratio of the ‘Daily News’ paper to ‘Wacky News’ paper was 2 : 5 and the ratio of ‘Wacky News’ to ‘Truthful News’ sold was 4:1.

(a) If 25 ‘Truthful News’ papers were sold on Friday, how many of ‘Wacky News’ were sold? ______________________________________________________________________
(b) Using your answer to (a) find how many ‘Daily News’ papers were sold on the same day? ______________________________________________________________________ ______________________________________________________________________

Answer 1

a) The number of ‘Wacky News’ sold on Friday = 100

b) The number of Daily News sold on Friday = 40

Explanation:

The ratio of Daily News : Wacky News = 2 : 5

and the ratio of Wacky News : Truthful News = 4 : 1

a) The number of 'Truthful News' papers sold on Friday = 25

W / T = 4 / 1 ⇒ W = 4 T

Comparing both ratio of W, we get

Also, T = 25

So, W = 4T = 4 x 25 = 100

Hence, the ‘Wacky News’ sold on Friday = 100

b) Now, D / W = 2 / 5

and W = 100

⇒
`D =(2W)/(5)`

or, Now,
`D   =(2 * 100)/(5)  = 40`

or, 'Daily News' sold on Friday = 40

Hence, the number of Daily News sold on Friday = 40