By what percent has the price of an overcoat been reduced?

Question

(1) The original price was $380.
(2) The original price was $50 more than the reduced price.

DangerPenguin · Answer

statement 1: insufficient
We don't know anything about the reduction

statement 2: insufficient
We don't know anything about the original price. If original was $100, then reduced price would be $50 and the %reduced would be 50%. If original was $200, then reduced price would be $150 and %reduced would be 25%.

statement 1+2: sufficient
We know the original price from statement 1 and with statement 2 we know that the reduced price is $330. We can then figure out the %reduced.

Answer C!

viktorija · Answer

In order to find the percent decrease we need to use the formula:  (change/ original price)*100%

(1) Insufficient. Gives us the original price but no information about the change in the price
(2) Insufficient. Gives only the change--->Original price - New price = 50

(1)+(2) Sufficient. We got both values to find the percent decrease: (50/380)*100%

Answer C.

Pgz · Answer

% decrease = reduced price/original price 
 or 
 (New price - original price)/ original price 
Without anyone of them we cant find the solution therefore, both statements required. Second statement gives the amount of reduction but for % we will need original price

intheend14 · Answer

By what percent has the price of an overcoat been reduced?  To answer this, we need both the original and final prices or the percentage drop.

(1) The original price was $380.  This is insufficient as we don't know by what amount the price dropped; we also don't know the final price. 
(2) The original price was $50 more than the reduced price.  This is insufficient as we don't know the absolute values, originally and finally.

Choice is C--if we combine the statements, we know the overcoat was $380 and the price reduction was $50. We can calculate a %.

8.toastcrunch · Answer

Statement 1  
The original price was $380. We are given the original price, but we don't have any information about the reduced price.
 Not sufficient

Statement 2 
The original price was $50 more than the reduced price. But we still don't know the original price.
 Not sufficient

Statement 1 and Statement 2 Together  
Together Sufficient to tell the reduction percentage.
 Sufficient

Answer is Option  C

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By what percent has the price of an overcoat been reduced?

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By what percent has the price of an overcoat been reduced?

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