a boy loses 20% by selling his old books for rs64 .find the cost price of the book​

a boy loses 20% by selling his old books for rs64 .find the cost price of the book​

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  1. Answer :-

    The cost price of old books is Rs.80.

    Step-by-step explanation:

    To Find :-

    • The cost price of the book.

    ★ Solution

    Given that,

    • Loss percentage = 20%
    • Selling price of the book = Rs. 64

    Assumption :

    Let us assume the cost price as Rs. x

    Loss = Rs. (20% of x)

    ⇒ (20/100 × x)

    ⇒ (2/10 × x)

    ⇒ Rs. x/5

    We know,

    Selling price = Cost price – Loss.

    Therefore,

    S.P. = C.P. – Loss = Rs. (x – x/5)

    ⇒ (x – x/5)

    ⇒ Rs. 4x/5

    Now, 4x/5 = 64

    ⇒ 4x/5 = 64

    ⇒ 4x = 64 × 5

    ⇒ 4x = 320

    x = 320/4

    x = 80

    Hence, The cost price Rs. 80.

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