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    Gaurav bought the first pen for ₹444 and the second pen for ₹356, respectively. He sells the first pen at 75% of the profit but the buyer bargain
    Question

    Gaurav bought the first pen for ₹444 and the second pen for ₹356, respectively. He sells the first pen at 75% of the profit but the buyer bargains for the price, and he has to offer a 14% discount and the second pen at 48% of the profit. Find the total profit he had in this transaction (correct to two decimal places).

    A.

    ₹396.11

    B.

    ₹399.02

    C.

    ₹394.67

    D.

    ₹395.10

    Correct option is D

    Given:

    CP₁ (pen 1) = ₹444; intended profit = 75%, then discount = 14% on that price

    CP₂ (pen 2) = ₹356; profit = 48%

    Formula Used:

    SP=CP×(1+p)×(1d)\text{SP} = \text{CP}\times(1+p)\times(1-d) ​​

    Profit = SP - CP

    Solution:

    Pen 1:

    Effective profit rate = (1+0.75)(10.14)1=1.75×0.861=0.505=50(1+0.75)(1-0.14)-1=1.75\times0.86-1=0.505=50​.5%
    SP1=444×1.75×0.86=668.22\text{SP}_1=444\times1.75\times0.86=₹668.22​​
    Profit1=668.22444=224.22\text{Profit}_1=668.22-444=₹224.22​​

    Pen 2:
    SP2=356×1.48=526.88\text{SP}_2=356\times1.48=₹526.88​​
    Profit2=526.88356=170.88\text{Profit}_2=526.88-356=₹170.88​​

    Total Profit =224.22 + 170.88 = ₹395.10

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