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
