varun289 wrote:At a tanning salon, customers are charged $10 for their first visit in a calendar month and $6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 visited exactly twice, 10 visited exactly three times, and the remaining customers visited only once. If those visits were the only source of revenue for the salon, what was the revenue last month at the salon?

$1220

$1240

$1300

$1340

$1880

100 customers visited the salon:
Since the price of each first visit = 10, total revenue from all the first visits = 100*10 = 1000.

30 visited exactly twice:
Since the price of each second visit = 6, total extra revenue = 30*6 = 180.

10 visited exactly 3 times:
Since the price of each second visit = 6, and the price of each third visit = 6, total extra revenue = 10(6+6) = 120.

Total = 1000 + 180 + 120 = 1300.

The correct answer is C.

here actually two questions ,


one answer 1240 another 1300

varun289 wrote: At a tanning salon, customers are charged $10 for their first visit in a calendar month and $6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?

$1220

$1240

$1300

$1340

$1880

100 customers visited the salon:
Since the price of each first visit = 10, total revenue from all of the first visits = 100*10 = 1000.

30 made a second visit:
Since the price of each additional visit = 6, total extra revenue = 30*6 = 180.

10 made a third visit:
Since the price of each additional visit = 6, total extra revenue = 10*6 = 60.

Total = 1000 + 180 + 60 = 1240.

The correct answer is B.

Hi,

Please help in interpreting the language.

In both the questions two different languages are given.

In Q1, 10 visited exactly three times.

In Q2, 10 made a third visit.

In Q1, Customers are charged $6 twice = $120
In Q2, Customers are charged $6 once = $60.

The Veritas explanation says, "The trick comes in assessing the revenue for the third visit. If 10 made a visit, then each of them must have made a
second visit, and the second visits have already been accounted for in the last revenue. Therefore, the third visits account for an additional $60 in revenue although many will think that it is additional $120".

I am not sure how to interpret for Q1 (10 visited exactly three times). I thought both the languages were same.

Thanks

Deleted because posted twice

vinni.k wrote:Hi,

Please help in interpreting the language.

In both the questions two different languages are given.

In Q1, 10 visited exactly three times.

In Q2, 10 made a third visit.

In Q1, Customers are charged $6 twice = $120
In Q2, Customers are charged $6 once = $60.

The Veritas explanation says, "The trick comes in assessing the revenue for the third visit. If 10 made a visit, then each of them must have made a
second visit, and the second visits have already been accounted for in the last revenue. Therefore, the third visits account for an additional $60 in revenue although many will think that it is additional $120".

I am not sure how to interpret for Q1 (10 visited exactly three times). I thought both the languages were same.

Thanks

The difference is the word "exactly," which appears in the first version of the question.

Think about it in terms of a three-set overlap question. Let's say that that we've got three types of food that people might enjoy: pizza, tacos and burgers. If we get the following piece of information: 10 people like pizza and tacos, that 10 will comprise two sections of the Venn diagram: those who like only pizza and tacos and those who like pizza, tacos, and burgers.

However, if we're told that 10 people like only pizza and tacos, then the 10 will refer to a single section representing the overlap of only pizza and tacos.

Similar distinction here. In the first version, we're told that 30 visited exactly twice. That's a distinct group from the 10 who visit exactly three times.

In the second version we're told that 30 made a second visit and that 10 made a third visit. This time, the 10 is a subset of the 30, as everyone who made a third visit must have made a second visit. Put another way, only 20 of the 30 people who made a second visit made exactly two visits.

Hi David,

Please correct me if i am wrong.

From the example of pizza and tacos. The following is what i have understood

In the first version we're told that 30 visited exactly twice. That's distinct group from 10 who visit exactly three times.

In the second version we're told that 30 made a second visit and that 10 made a third visit. This time, the 10 is a subset of the 30, as everyone who made a third visit must have made a second visit.

Put another way, only 20 of the 30 people who made a second visit made exactly two visits.

Please let me know what you think.

Thanks

vinni.k wrote:Hi David,

Please correct me if i am wrong.

From the example of pizza and tacos. The following is what i have understood

In the first version we're told that 30 visited exactly twice. That's distinct group from 10 who visit exactly three times.

In the second version we're told that 30 made a second visit and that 10 made a third visit. This time, the 10 is a subset of the 30, as everyone who made a third visit must have made a second visit.

Put another way, only 20 of the 30 people who made a second visit made exactly two visits.

Please let me know what you think.

Thanks

The first two pics look good. The third one isn't quite right - those 10 people who visited a third time had to have visited a first time, right? (Imagine the first pic, but with a '20' in place of the '30.')