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    The average price of three items of furniture is Rs 15885. If their prices are in the ratio 3:5:7, the price of the costliest item (inRs) is
    Question

    The average price of three items of furniture is Rs 15885. If their prices are in the ratio 3:5:7, the price of the costliest item (inRs) is

    A.

    7413

    B.

    5295

    C.

    3177

    D.

    22239

    Correct option is D

    Given:

    The average price of three items of furniture = Rs 15885

    The ratio of their prices = 3:5:7

    Formula Used:

    Total price of the three items = Average price × Number of items

    Costliest item price = (Highest ratio partTotal ratio parts\frac{Highest \ ratio\ part }{ Total\ ratio\ parts}​) × Total price

    Solution:

    Total price of three items = 15885 × 3 = Rs 47655

    Total parts in ratio = 3 + 5 + 7 = 15

    Price of costliest item = (715\frac{7}{15}​) × 47655

    = Rs 22239.00

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