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# I need to understand how to get the right answer!

Thu 6 Aug, 2015 07:37 am
Hi Guys!!!

Could you help with right result, please? XD

Thanks!!!

The SuperSave supermarket sells Sudsy washing up liquid for \$1.20 a bottle. At this price they are charging 50% more than the price at which they buy the item from the manufacturers. Next week SuperSave is having a ‘Buy two get a third free’ offer on this item. The supermarket does not want to lose money on this offer, so it expects the manufacturers to reduce their prices so SuperSave will make the same actual profit on every three bottles sold. By how much will the manufacturers have to reduce their prices? A 1/6 B 1/4 C 1/3 D 1/2 E 2/3
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Type: Question • Score: 3 • Views: 2,795 • Replies: 9

fresco

2
Thu 6 Aug, 2015 11:37 am
@FilipaB,
work out the cost per bottle c, and the profit p.
they sell 3 bottles for 240 cents or 80 cents each.
so they need to now buy at 80-p to get their profit.
so the cost must be reduced from c to (80-p).
0 Replies

engineer

3
Thu 6 Aug, 2015 01:57 pm
@FilipaB,
FilipaB wrote:

The SuperSave supermarket sells Sudsy washing up liquid for \$1.20 a bottle. At this price they are charging 50% more than the price at which they buy the item from the manufacturers.

So \$1.20 = (1 + 50%) X where X is the price SuperSave pays.
1.2=1.5 X
X = 0.80

They pay \$0.80 per bottle.

FilipaB wrote:
Next week SuperSave is having a ‘Buy two get a third free’ offer on this item. The supermarket does not want to lose money on this offer, so it expects the manufacturers to reduce their prices so SuperSave will make the same actual profit on every three bottles sold.

SuperSave makes \$0.40 per bottle (see above) so on three, they plan to make \$1.20. At the sale price, they will sell three bottles for \$1.20 x 2 = \$2.40. That means they can pay \$1.20 for three bottles or \$0.40 per bottle.

FilipaB wrote:
By how much will the manufacturers have to reduce their prices? A 1/6 B 1/4 C 1/3 D 1/2 E 2/3

The original price was \$0.80, the new price is \$0.40 so the answer is 1/2.
FilipaB

1
Thu 6 Aug, 2015 03:30 pm
@engineer,
Hiii!!

Your explanation was really good, clear and precise! Thank you!! XD

I just don't know in those kind of exercises how do you know which steps you have to make (calculations)? I know is logical reasonig but I'm not good with that. That's the point a dim getting frustrated. :/

Thanks anyways

Filipa
FilipaB

1
Thu 6 Aug, 2015 04:07 pm
@FilipaB,
Hiii Guys,

I'm studying for an exam so I do have to do a lot of logical reasonig exercises.

I got this example, I got the answer but I don't know if it was just an
coincidence or not.

A regular train service operates between Jayford and Kayton, a 16 km journey which takes 19 minutes. The trains travel at a constant speed of 60 km per hour in both directions except through a tunnel, where they are limited to 20 km per hour. Trains travelling towards Kayton enter the tunnel 4 km after setting off from Jayford.
How long is the tunnel?
A 1.5 km
B 0.5 km
C 2.5 km
D 3.5 km
E 4.5 km

So, I did:

16 km-60 km/h

1min-60km, so

1-60
X-20 X=0,3 min

4-20
0,3-x X= 1,5 km

Option A

Please, tell me it's not just an coincidence. I'm getting really frustrated with those exercises. :/

Let, me know!!!

Filipa

fresco

1
Thu 6 Aug, 2015 04:33 pm
@FilipaB,
Sorry...a coincidence !

Let tunnel = d km
Speeds are lkm per min and one third km per min
TIME=DISTANCE / SPEED
Total Time= Time out+Time in tunnel
so 19 min = (16 - d)/1 +d/ one third
Solving for d
16-d +3d =19
2d = 3
d= 1.5

(the 4 km is irrelevant)
0 Replies

Joe4398384838

0
Tue 23 Aug, 2022 08:16 am
@FilipaB,
hi,

can u please explain the 1+d part i don't understand it
izzythepush

1
Tue 23 Aug, 2022 08:51 am
@Joe4398384838,

Her post is 7 years old and she hasn't posted since.
tsarstepan

1
Tue 23 Aug, 2022 01:33 pm
@izzythepush,
izzythepush wrote:

Her post is 7 years old and she hasn't posted since.

It would be funny to find out that the OP was in inhouse detention for 7 years because she never finished her homework assignment. That she's still awaiting for the answer here to finally finish her assignment and be allowed to go home (if her home still was there at this point).
0 Replies

engineer

1
Wed 24 Aug, 2022 11:53 am
@Joe4398384838,
That is a bit confusing. The 1+d part doesn't go together like it appears to. Read it like this.

19 min = [(16 - d)/1] + [ d/ one third]
0 Replies

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