Bunuel wrote:
A computer dealer initially offered a laptop for sale at a price that would have given him a 25% profit over his cost. What was his cost (in dollars)?
(1) The computer dealer eventually sold the laptop for $1150.
(2) After the laptop was rated highly by a PC magazine, the computer dealer raised the price 15% and sold it for a profit of $350.
Solution: Pre Analysis:- Let the CP of the laptop be \($x\)
- According to the question stem, the marked price of the laptop is \(MP=x(1+\frac{25}{100})=1.25x\)
- We are asked the value of \(x\)
Statement 1: The computer dealer eventually sold the laptop for $1150
- Accoridng to this statement \(SP=1150\) which doesn't help us in getting the value of x
- If we knew that the laptop is sold at the MP with no further discount then we could have written 1150=1.\(\)25x
- However, that information is not known
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: After the laptop was rated highly by a PC magazine, the computer dealer raised the price 15% and sold it for a profit of $350
- According to this question, \(SP=1.25x(1+\frac{15}{100})=1.25x\times 1.15\)\(\)
- And \(1.25x\times 1.15-x=350\)\(\) which can be solved to get the value of x
- Thus, statement 2 alone is sufficient
Hence the right answer is
Option B _________________
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