A shopkeeper purchases two items for Rs. 520. One of them

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A shopkeeper purchases two items for Rs. 520. One of them is sold gaining 16% and the other at a loss of 10%, thus making no profit or loss. What is the selling price of the item sold at loss?

1. Rs. 288
2. Rs. 232
3. Rs. 320
4. Rs. 200

Correct Option: A

Given that , C.P. of two articles = Rs. 520
Suppose C.P. of article sold at loss = Rs. y.
∴ C.P. of article sold at profit = Rs. (520 – y)
According to the question,

y ×		10	= (520 – y) ×	16
		100		100

⇒ 5y = 520 × 8 – 8y
⇒ 13y = 520 × 8

⇒ y =	520 × 8	= Rs. 320
	13

On 10% loss ,

∴ Its S.P. =	320 × 90	= Rs. 288
	100