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    The average price of three items of furniture is Rs 16860. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is
    Question

    The average price of three items of furniture is Rs 16860. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is

    A.

    7868

    B.

    10116

    C.

    3372

    D.

    5620

    Correct option is B

    Given:
    The average price of three items of furniture is Rs 16860.
    The prices of the items are in the ratio 3:5:7.
    Formula Used:

    Average Price=Total PriceNumber of Items\text{Average Price} = \frac{\text{Total Price}}{\text{Number of Items}}
    Solution:
    Average Price=Total PriceNumber of Items\text{Average Price} = \frac{\text{Total Price}}{\text{Number of Items}}
    16860=Total Price316860 = \frac{\text{Total Price}}{3}
    Total Price=16860×3=50580\text{Total Price} = 16860 \times 3 = 50580
    Let the prices of the items be 3x,5x and 7x.
    3x + 5x + 7x = 15x
    15x = 50580
    x =5058015=3372 \frac{50580}{15} = 3372
    The cheapest item corresponds to the smallest ratio, which is 3x .
    Price of Cheapest Item=3x=3×3372=10116\text{Price of Cheapest Item} = 3x = 3 \times 3372 = 10116

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