Ramesh buys 2 articles for Rs. 600. He sells on them at

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Ramesh buys 2 articles for Rs. 600. He sells on them at a profit of 22% and other at a loss of 8% and makes no profit or loss at the end. What is the cost of the article he sold at a loss ?

1. Rs. 400
2. Rs. 420
3. Rs. 440
4. None of these

Correct Option: C

Let CP of first article = Rs. x
CP of second article = Rs. (600 - x)
SP of first article = Rs. (122x / 100)
SP of second article = Rs. [92(600 - x)/100]
∴ {122x/100} + {92(600 - x)/100} = 600
⇒ 122x - 92x = 60000 - 92 x 600
⇒ 30x = 4800
⇒ x = 160
∴ CP of the article sold at a loss = (600 - x) = Rs 440