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    By selling an article for ₹19.5, a dealer makes a profit of 10%. By how much should he increase his selling price (in ₹,rounded off to two decimal pla
    Question

    By selling an article for ₹19.5, a dealer makes a profit of 10%. By how much should he increase his selling price (in ₹,rounded off to two decimal place) so as to make a profit of 50%?

    A.

    10.09

    B.

    7.09

    C.

    8.09

    D.

    9.09

    Correct option is B

    Given:

    Selling price (SP1) = ₹19.5

    Profit percentage (P1) = 10%

    Desired profit percentage (P2) = 50%

    Concept Used:

    Cost Price (CP) = SP11+P1100\frac{SP_1}{1 + \frac{P_1}{100}}​​

    New Selling Price (SP2) = CP×(1+P2100)\times \left( 1 + \frac{P_2}{100} \right)​​

    Increase in Selling Price = SP2 - SP1

    Solution:

    CP =19.51+10100\frac{19.5}{1 + \frac{10}{100}}​​

    CP = 19.51.1\frac{19.5 }{ 1.1}​​

    CP = 17.7272...

    SP2 = CP×(1+50100)\times \left( 1 + \frac{50}{100} \right)​​

    SP2 = 17.7272... ×1.5\times 1.5​​

    SP2 = 26.5909...

    Increase = SP2 - SP1

    Increase = 26.5909... - 19.5

    Increase = 7.0909...

    Increase ≈ ₹7.09

    The dealer should increase his selling price by ₹7.09.

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