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19 July, 00:24

A Palpali cap is marked to sell at a profit of 10% by a shopkeeper. If he sells it at a discount of Rs 10.50 there will be a loss of 5%. Find the cost price of the cap

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  1. 19 July, 00:53
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    The cost price of the cap is Rs 70

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - A Palpali cap is marked to sell at a profit of 10% by a shopkeeper

    - Let the cost price of the cap is x

    ∵ It marked to sell at a profit 10%

    ∴ Its selling price = x + (10/100) x = x + 0.1 x = 1.1 x ⇒ (1)

    - He sells it at a discount 10.50

    ∴ He sells it at ⇒ 1.1 x - 10.50

    - There will be loss of 5%

    ∵ selling price = cost price - loss

    ∵ The cost price is x

    ∴ selling price = x - (5/100) x = x - 0.05 x = 0.95 x ⇒ (2)

    - Equate (1) and (2) ⇒ both of them is the selling price

    ∴ 1.1 x - 10.50 = 0.95 x

    - Subtract 0.95 x from both sides and add 10.50 to them

    ∴ 1.1 x - 0.95 x = 10.50

    ∴ 0.15 x = 10.50 ⇒ divide both sides by 0.15

    ∴ x = 70

    ∵ x is the cost price of the cap

    ∴ The cost price of the cap is Rs 70
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