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    ₹4,445 is divided among A, B and C in such a way that if ₹65, ₹39 and ₹77 are deducted from their respective shares, they have money in the ratio 18:3
    Question

    ₹4,445 is divided among A, B and C in such a way that if ₹65, ₹39 and ₹77 are deducted from their respective shares, they have money in the ratio 18:3:20. Find the difference between B’s and C’s original shares.

    A.

    ₹1,868

    B.

    ₹1,918

    C.

    ₹1,806

    D.

    ₹1,718

    Correct option is C

    Given:
    Total amount = 4445
    Deductions for A, B, and C = 65, 39, and 77
    New ratio of shares = 18 : 3 : 20
    Formula Used:
    Remaining Amount = Total Amount - Total Deductions
    Solution:
    Total deduction = 65 + 39 + 77 = 181
    Remaining amount to be divided = 4445 - 181 = 4264
    Sum of ratio parts = 18 + 3 + 20 = 41
    Value of one part = 426441=104 \frac{4264}{41} = 104​​
    New share of B = 3 × 104 = 312
    New share of C = 20 × 104 = 2080
    Original share of B = 312 + 39 = 351
    Original share of C = 2080 + 77 = 2157
    Difference between their original shares = 2157 - 351 = 1806
    Final Answer
    So the correct answer is (c)

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