[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1525: Undefined array key "topic_tags_visibility"
[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1526: Undefined array key "timer_statistics_visibility"
A cake shop sold only two types of cakes: regular cake, each is sold f : Multiple-choice Questions — Select One or More Answer Choices

Last visit was: 22 Jul 2024, 14:14 It is currently 22 Jul 2024, 14:14

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [1]
Given Kudos: 25534
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [0]
Given Kudos: 25534
Send PM
Intern
Intern
Joined: 01 Oct 2021
Posts: 39
Own Kudos [?]: 9 [0]
Given Kudos: 37
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29147
Own Kudos [?]: 34186 [0]
Given Kudos: 25534
Send PM
A cake shop sold only two types of cakes: regular cake, each is sold f [#permalink]
Expert Reply
Let us consider the total number of cakes sold is 100 and out of them 20% are regular cakes
(m = 20%).

Thus, the number of regular cakes sold = 20% of 100 = 20

Revenue generated from sale of regular cakes = $ (1x 20) = $20

Number of premium cakes sold = 100 - 20 = 80

Revenue generated from sale of premium cakes = $ (1.25x 80) = $100

Thus total revenue = $(20+100)= $120

As r% of the total revenue comes from regular cakes, we have:

\(r=\frac{20}{120} *100 =16.6\)%


Now, let us substitute the value of m in the options and check which options give the result
16.6%

A. \(\dfrac{4m}{5-\frac{m}{100}}=\dfrac{4 * 20}{5-\frac{20}{100}}=\dfrac{80}{5-\frac{1}{5}}=\dfrac{400}{24}=16.6\) %

B. \(\dfrac{150m}{250-m}=\dfrac{150 * 20}{250-20}=\dfrac{300}{23} \neq 16.6\) %

C. \(\dfrac{300m}{500-2m}=\dfrac{300 * 20}{500-40}=\dfrac{600}{46} \neq 16.6\) %

D. \(\dfrac{400m}{500-m}=\dfrac{400 * 20}{500-20}=\dfrac{800}{48}= 16.6\) %

E. \(\dfrac{500m}{625-m}=\dfrac{500 * 20}{625-20}=\dfrac{1000}{605} \neq 16.6\) %

F. \(\dfrac{20p}{25-\frac{m}{25}}=\dfrac{20 * 20}{25-\frac{20}{25}}=\dfrac{400}{25-\frac{4}{5}}=\dfrac{2000}{121}\neq 16.6\) %

I hope this helps raghav4202
Prep Club for GRE Bot
A cake shop sold only two types of cakes: regular cake, each is sold f [#permalink]
Moderators:
GRE Instructor
52 posts
GRE Forum Moderator
29 posts
Moderator
1093 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne