The original price of a suit is $200. The price increased 30%, and af

Question

The original price of a suit is $200. The price increased 30%, and after this increase, the store published a 30% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 30% off the increased price, how much did these consumers pay for the suit?

A. $182
B. $191
C. $200
D. $209
E. $219

Kudos for a correct solution.

A. $182 
B. $191 
C. $200 
D. $209 
E. $219

Kudos for a correct  solution .

adityadon · Answer

Is answer B ? 
200 original prize , 130% of it is 260 and then 70% of 260 is 191 .. 
So customer were paying 191

Artmetalist · Answer

No. It is 200(1.30)(0.70) = 182 (A)

I think your problem was the 70% of 260 it's actually a 182 (A)

mvictor · Answer

indeed, it is A.
10% of 200 is 20, thus 30% increase is 60$ increase in price, and new price is 260$
coupon gives 30% off from 260$
10% = 26, 30% = 26*3 = 78
price paid by customers: 260-78 =182$

or just simply use consecutive multipliers
this way is even faster:
(13/10)*(7/10) = 91/100 or 91% of the original price
200$ = 100%
1% = 2. Since the price the customers paid is 91% of the original amount, then the price they paid is 200-(2*9) = 182

furthermore, we can simply eliminate 3 answer choices right from the start
answ C) 200
never make this mistake: x +30% - 30% = x! 
answ D) & E) 30% of the coupon is greater than 30% of the original price, thus the final price can never be >200

ak1802 · Answer

Correct answer is A. $182.

Original price = $200 
+ 30% increase
= $260
30% coupon = 26 (10%) * 3 = $78 discount.

$260-$78=$182

Posted from my mobile device

Sukant2010 · Answer

The answer should be (A) I guess.
Its 30% of 200 added to 200 i.e. 260 and then 30% subtracted from 30% of 260 which comes out to be 182.

KS15 · Answer

+1 for A. Price paid by consumers= $200*130/100*70/100=$182

adityadon · Answer

Yeah ... i did a calculation mistake :oops:

pacifist85 · Answer

It should be 182,  ANS A

200*0.30 = 60

200+60 = 260

260 * 0.30 = 78

260 - 78 = 182

chetan2u · Answer

although the algebric way is not very time consuming, we can solve the question in the following way...
since the increase and decrease are same 30%, the original value is initially increased and decreased so we come back to the original price..
however the decrease is also on 30% increase, which becomes 30%*30%=9%...
9% of 200=18, so ans =200-18=182 ans A

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION:

Given the foregoing discussion, it may be obvious now the trap-mistake answer is (C). Even if you can’t remember the correct thing to do, at the very least, learn to spot the trap!

The multiplier for a 30% increases is 1 + 0.30 = 1.3, and the multiplier for a 30% decrease is 1 – 0.30 = 0.70, so the combined change is 1.3*0.7 = 0.91, 91% percent of the original, or a 9% decreases. Now, multiply $200*0.91 = $182.

Answer = (A).

BrentGMATPrepNow · Answer

The original price of a suit is $200. The price increased 30%, ....  
30% of $200 = $60
So, the NEW price = $200 + $60 =  $260

...and after this increase, the store published a 30% off coupon for a one-day sale.  
30% of  $260  = (0.3)( $260 ) =  $78 
So with the price with coupon =  $260  -  $78  =   $182

Answer: A

Cheers, 
Brent

ScottTargetTestPrep · Answer

The price paid for the suit was:

200 x 1.3 x 0.7

200 x 13/10 x 7/10

2 x 13 x 7 = 182

Answer: A

The original price of a suit is $200. The price increased 30%, and af

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