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    The retail price of a water geyser is ₹11,300. If the manufacturer gains 5%, the wholesale dealer gains 10% and the retailer gains 15%, then find
    Question

    The retail price of a water geyser is ₹11,300. If the manufacturer gains 5%, the wholesale dealer gains 10% and the retailer gains 15%, then find the cost price of the water geyser (rounded off to two decimal places.)
    (Note: Manufacturer sells to wholesaler, wholesaler sells to retailer and retailer sells to customer.)​

    A.

    ₹9,500.75

    B.

    ₹8,507.43

    C.

    ₹10,110.11

    D.

    ₹6,050.25

    Correct option is B

    Given:

    Retail price of the water geyser = ₹11,300

    Manufacturer gains 5%

    Wholesale dealer gains 10%

    Retailer gains 15%

    Formula Used:

    Selling price = Cost price×(1+Profit percentage100)\text{Cost price} \times \left(1 + \frac{\text{Profit percentage}}{100}\right)​​

    Solution:

    Let the cost price for the retailer be x

    So, 

    x×105100×110100×115100=11300  x=11300×100105×100110×100115 =8,507.43x \times \frac{105}{100}\times \frac{110}{100}\times \frac{115}{100} = 11300 \\ \ \\ \implies x = 11300\times \frac{100}{105}\times \frac{100}{110}\times \frac{100}{115} \\ \ \\ = ₹8,507.43 ​​

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