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A shopkeeper sold an article at a gain of 5%.if he had it for Rs 16.50 less,he would have lost 5%.find the cost price of article




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Let CP of the article = x
at 5% gain, SP of article = x + (5/100)x = 1.05x
at 5% loss, SP of article = x - (5/100)x = 0.95x

given that 1.05x - 0.95x = 16.5
⇒ 0.1x = 16.5
⇒ x = 16.5/0.1
⇒ x = Rs. 165.

The cost price of the article is Rs. 165.
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