At the end of August, a store discounts all swimsuits by 40 percent to

Question

At the end of August, a store discounts all swimsuits by 40 percent to 50 percent. At the beginning of October, all remaining swimsuits are discounted by an additional 10 percent. What is the lowest possible original price of a swimsuit that cost $27 in October?

A) $30
B) $45
C) $50
D) $55
E) $60

A) $30
B) $45
C) $50
D) $55
E) $60

Archit3110 · Accepted Answer

CAMANISHPARMAR  @yashikaagrwal
Question has asked lowest possible original price which after discount becomes 27$
Which is catch of the question.

first discount has to be 40% ; .6 and additional 10% discount ; .9

.6*.9*x=27
x= 50
OPTION C

treasurybond · Answer

I believe the answer is E
x (cost) * 1/2 * 9/10 = y (new cost)
y=27
27 * 10/9 * 2/1 = x (cost)
3*10*2=60

EgmatQuantExpert · Answer

Solution

Given  
In this question, we are given that
 • At the end of August, a store discounts all swimsuits by 40 percent to 50 percent
• At the beginning of October, all remaining swimsuits are discounted by an additional 10 percent

To find  
We need to determine
 • The lowest possible original price of a swimsuit that cost $27 in October

Approach and Working out  
As the price is lowest, the discounts offered should be highest possible
 • Hence, the offered discounts should be 50% and 10% respectively

If the original price is P, then
 • P x 0.5 x 0.9 = 27
Or, P = 60

Thus, option E is the correct answer.

Correct Answer: Option E

CAMANISHPARMAR · Answer

You may want to read the question carefully again and attempt it again. It is a very nice question!

CAMANISHPARMAR · Answer

You may want to read the question carefully again and attempt it again. It is a very nice question!

CAMANISHPARMAR · Answer

You may want to read the question carefully again and attempt it again. It is a very nice question!

yashikaaggarwal · Answer

Sir can you reveal official answer. Still not getting how the original price is 50.

Posted from my mobile device

Archit3110 · Answer

Question has asked lowest possible original price which after discount becomes 27$
Which is catch of the question.

first discount has to be 40% ; .6 and additional 10% discount ; .9

.6*.9*x=27
x= 50
OPTION C

yashikaaggarwal

..

yashikaaggarwal · Answer

You mean to say minimum discount will ensure least price?

Archit3110 · Answer

No see question stem it has asked 
What is the lowest possible original price of a swimsuit that cost $27 in October

So least original price would be 50$

CAMANISHPARMAR · Answer

Sure, happy to help!

Official Answer: 
The reason that different original prices are possible is that we don't know the exact amount of the August discount. But, since we know the final price and the October discount, we can calculate the price after the August discount. Then, to find the lowest possible original price, we assume that the August discount was as small as possible (because the larger the discount required to reach any given price, the larger the original price must have been).

So, we'll start by calculating the price after the August discount but before the October discount. Let's call this price x dollars. Since this price dropped to $27 after a 10% discount, we can say that x– (10% of x) = 27. Because 10% is equivalent to 0.10, the equation becomes x– 0.10x = 27, or 0.90x = 27. Dividing both sides by 0.90, we have x = 30. So, the price was $30 after the August discount but before the October discount.

Now we assume the August discount was as small as possible, 40%. If y dollars is the original price, y– 0.40y = 30, or 0.60y = 30. Dividing both sides by 0.60, we have y = 50. The original price was $50, so (C) is correct.

Notice that we did not actually have to go through all the steps of setting up the equations each time we needed to work backwards to an original price. In general, we can get the answer more quickly by using the fact that Original Price = Discounted Price / (1-Discount). In fact, this is what we ended up with when we solved our equations.

Codebug4it · Answer

Answer:  Option C

Price in October  = $27

October discount(10%), so $27 = 90% of Price (before discount)
=> Price before discount  = 30

Let's consider, the original price  = P

so, after August end, the discounts are:

Max = 50% discount means the price will be 50% of the original price 
50% of P = $30
P = $60

Min = 40% discount means the price will be 60% of the original price

60% of P = $30
P = $50

So,  the minimum price is $50 (C)

satya2029 · Answer

X(Original)..... between...0.6X.............0.5X
since 0.6>0.5
Minimum will go to 0.6
0.6X*0.9=27
X=50
C:)

TarPhi · Answer

LOL  EgmatQuantExpert ,

0.5*x=30 x=60

0.6*x=30 x=50.

Please correct this!

hadimadi · Answer

/0.6=50

Regor60 · Answer

With a given final price, which includes the discounts, the lowest initial price will be CLOSEST to this final price and the highest initial price will be FARTHEST.

So the CLOSEST price will require the LEAST discount to reach the final price.

Least initial discount is 40%, final discount 10%.

0.6*.9*Initial price= 27

Initial Price= 27*(5/3)*(10/9) = 50

Posted from my mobile device

AnirudhaS · Answer

October = 27/0.9 = 30
September possible price = 30/0.5 = 60
September possible price #2 = 30/0.6 = 50

Lowest is 50,

Answer:  C

pappal · Answer

let original price be $x.
after August discount of 40 to 50% selling price is 0.6x to 0.5x respectively.
now after additional discount of 10% in October corresponding selling prices should be 0.54x to 0.45x respectively.
i.e. 0.54x=27 => x=$50
while 0.45x=27 x will be greater than $50
so lowest possible original price of the swim suit is $50

At the end of August, a store discounts all swimsuits by 40 percent to

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