The price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00
Why not the answer is D?
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Target question: What was its original price?phanikpk wrote:The price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00
Given: The price of a television set was reduced by 25 percent.
Statement 1: The reduced price was $187.50.
Let x = original price
It is given that the price of a television set was reduced by 25 percent. So, the reduced price = 0.75x
Statement 1 tells us that 0.75x = 187.50
Since we COULD solve this equation for x, we COULD answer the target question with certainty.
So, statement 1 is SUFFICIENT
Statement 2: The original price exceeded the reduced price MORE THAN than $60.00
There are MANY different scenarios that satisfy this condition. Here are two:
Case a: the original price is $1000. So, a 25% price reduction means the reduced price is $750. Notice that the original price exceeds the reduced price MORE THAN than $60.00. In this case, the original price is $1000
Case b: the original price is $800. So, a 25% price reduction means the reduced price is $600. Notice that the original price exceeds the reduced price MORE THAN than $60.00. In this case, the original price is $800
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer = A
Cheers,
Brent
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"More Than" ohhh i missed it and clean bowled.Brent@GMATPrepNow wrote:Target question: What was its original price?phanikpk wrote:The price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00
Given: The price of a television set was reduced by 25 percent.
Statement 1: The reduced price was $187.50.
Let x = original price
It is given that the price of a television set was reduced by 25 percent. So, the reduced price = 0.75x
Statement 1 tells us that 0.75x = 187.50
Since we COULD solve this equation for x, we COULD answer the target question with certainty.
So, statement 1 is SUFFICIENT
Statement 2: The original price exceeded the reduced price MORE THAN than $60.00
There are MANY different scenarios that satisfy this condition. Here are two:
Case a: the original price is $1000. So, a 25% price reduction means the reduced price is $750. Notice that the original price exceeds the reduced price MORE THAN than $60.00. In this case, the original price is $1000
Case b: the original price is $800. So, a 25% price reduction means the reduced price is $600. Notice that the original price exceeds the reduced price MORE THAN than $60.00. In this case, the original price is $800
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer = A
Cheers,
Brent
Thanks brent
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If the original price = aThe price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00
Then reduced price = 0.75a
Statement 1) 0.75a = 187.5
i.e. a = 250 SUFFICIENT
Statement 2) The original price exceeded the reduced price by more than $60.00
a - 0.75a > $60
which means, 0.25a >$60
i.e. a > $240
But the value of a is still unknown therefore INSUFFICIENT
Answer: Option A
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GMAT/MBA Expert
- Brent@GMATPrepNow
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Target question: What was the original price?phanikpk wrote:The price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00
Given: The price of a television set was reduced by 25 percent.
Statement 1: The reduced price was $187.50.
Let x = original price
It is given that the price of a television set was reduced by 25 percent. So, the reduced price = 0.75x
Statement 1 tells us that 0.75x = 187.50
Since we COULD solve this equation for x, we COULD answer the target question with certainty.
So, statement 1 is SUFFICIENT
Statement 2: The original price exceeded the reduced price MORE THAN than $60.00
There are MANY different scenarios that satisfy this condition. Here are two:
Case a: the original price is $1000. So, a 25% price reduction means the reduced price is $750. Notice that the original price exceeds the reduced price MORE THAN than $60.00. In this case, the original price is $1000
Case b: the original price is $800. So, a 25% price reduction means the reduced price is $600. Notice that the original price exceeds the reduced price MORE THAN than $60.00. In this case, the original price is $800
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer = A
Cheers,
Brent