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    Mr. Rao sold a car at ₹ 1,64,0000, thereby incurring a 20% loss. The cost price of the car was:
    Question

    Mr. Rao sold a car at ₹ 1,64,0000, thereby incurring a 20% loss. The cost price of the car was:

    A.

    ₹ 2,05,000

    B.

    ₹2,00,500

    C.

    ₹2,50,000

    D.

    ₹2,00,050

    Correct option is A

    Given: 

    Selling Price of Car (SP) = ₹ 1,64,0000 

    Loss % = 20 % 

    Formula Used: 

    Cost Price = Selling Price(1loss %100)×100\frac{\text{Selling Price}}{\left(1 - \frac{\text{loss \%}}{100}\right)}\times100 

    Solution: 

    Applying the formula;

    Cost Price = 164000080×100=205000\frac{1640000}{80}\times 100 = ₹205000 

    Thus, the cost price of the car is ₹205000 

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