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    Raju sold an article to Ravi at 10% gain. Ravi sold the article to Ramu at a loss of 10%. If Ramu paid Rs. 1,485 to Ravi, Find the selling price of Ra
    Question

    Raju sold an article to Ravi at 10% gain. Ravi sold the article to Ramu at a loss of 10%. If Ramu paid Rs. 1,485 to Ravi, Find the selling price of Raju to Ravi.

    A.

    Rs. 1,200

    B.

    Rs. 1,500

    C.

    Rs. 1,650

    D.

    Rs. 1,600

    Correct option is C

    Given:
    Raju sold the article to Ravi at a gain of 10%.
    Ravi sold the article to Ramu at a loss of 10%
    Selling price of Ravi to Ramu = Rs. 1,485
    Solution:
    let Raju bought an article = 100x
    Raj sold it at 10% gain, So
    Ravi bought it at the price = 100x+ 10% of 100x = 100x+ 10x = 110x
    Ravi sold it at 10% loss, so
    Ramu bought it at the price = 110x-10% of 110 = 99x
    ATQ
    99x = Rs. 1485
    x= Rs. 15
    So, Raju bought an article = 100x = 100 × 15 = Rs. 1500

    Raju sold article to Ravi = 1500×110100=Rs. 16501500 \times \frac{110}{100} = Rs. \ 1650​​
    Alternate Method:


    99 unit = 1485
    1 unit = 15
    So, Selling Price of Raju to Ravi = 110 unit = 110 × 15 = Rs. 1650

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