A shopkeeper sold an article at a gain of 5% if we are sold it for 16 . 50 rupees Less he would have lost 5% find the cost percentage of the article

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Solution

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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A shopkeeper sold an article at a gain of 5% if we are sold it for 16 . 50 rupees Less he would have lost 5% find the cost percentage of the article

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. Like if satisfied

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.

Like if satisfied