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    Gopal bought 51 books at ₹1,120 per book from one shop and 45 books at ₹920 per book from another. What is the average price (in ₹) he paid per b
    Question

    Gopal bought 51 books at ₹1,120 per book from one shop and 45 books at ₹920 per book from another. What is the average price (in ₹) he paid per book?​

    A.

    1,026.25

    B.

    1,041.25

    C.

    1,036.25

    D.

    1,016.25

    Correct option is A

    Given:

    Gopal bought 51 books at ₹1120 each and 45 books at ₹920 each

    Formula Used:

    Average Price = (n1×p1)+(n2×p2)n1+n2\frac{(n_1 \times p_1) + (n_2 \times p_2)}{n_1 + n_2}​​

    Solution:

    n1=51,p1=1120,n2=45,p2=920n_1 = 51, \quad p_1 = 1120, \quad n_2 = 45, \quad p_2 = 920​​

    Total Cost = (51×1120)+(45×920)(51 \times 1120) + (45 \times 920)​​

    = 57120 + 41400 = 98520

    Total Books = 51 + 45 = 96

    Average Price = 9852096 \frac{98520}{96}​ = ₹1026.25

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