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  1. A person bought two articles A and B for $ 5,000. He sold A at 20% profit and B at 10% loss. He thus gained 2% on his outlay. The cost price of A was
    1. $ 3,000
    2. $ 2,500
    3. $ 2,000
    4. $ 3,500
Correct Option: C

Given that , CP of two articles A and B = $ 5,000
Let the CP of article A be $ y
∴ CP of article B = $ (5000 – y)
According to the question,
120% of y + 90% of (5000 – y) = 102% of 5000
⇒ 120y + 450000 – 90y = 510000
⇒ 30y = 510000 – 450000 = 60000

⇒ y =
60000
= $ 2000
30

Hence , The cost price of A is $ 2000 .



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