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    An article was bought for ₹8,100. Its price was marked up by 40%. Thereafter it was sold at a discount of 15% on the marked price. What was the p
    Question

    An article was bought for ₹8,100. Its price was marked up by 40%. Thereafter it was sold at a discount of 15% on the marked price. What was the percentage profit on the transaction?

    A.

    20%

    B.

    17%

    C.

    18%

    D.

    19%

    Correct option is D

    Given:

    Cost Price (CP) = ₹8,100

    Mark-up = 40% on CP → Marked Price (MP)

    Discount = 15% on MP → Selling Price (SP)

    Required: Percentage profit

    Formula Used:

    Profit % =SPCPCP×100 \dfrac{\text{SP}-\text{CP}}{\text{CP}}\times 100 ​​

    Solution:

    MP=CP×(1+40%)\text{MP} = \text{CP}\times(1+40\%)

    MP = 8100×1.4=18100 \times 1.4 = 1​​1340

    SP = MP×(115%)\text{MP}\times(1-15\%)

    SP = 11340 ×\times​ 0.85 = 9639
    Profit = 9639 - 8100 = 1539
    Profit %=15398100×100=1\text{Profit \%} = \frac{1539}{8100}\times100 = 1​9%
    ​​

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