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    Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:​
    Question

    Mahesh withdrew ₹3,100 from a bank. He received a total of 34 notes of ₹50 and ₹100 denominations. The number of ₹50 notes received by him was:​

    A.

    6

    B.

    16

    C.

    13

    D.

    4

    Correct option is A

    Given:

    Mahesh withdrew ₹3,100 from the bank.

    He received a total of 34 notes, consisting of ₹50 and ₹100 denominations.

    We need to find the number of ₹50 notes.

    Solution:

    Let:

    x = the number of ₹50 notes,

    y = the number of ₹100 notes.

    From the condition;

    x + y = 34 ...........(1)

    second condition;

    50x + 100y = 3100

    x + 2y = 62.........(2) 

    subtracting equations 2×\times​(1) - (2) 

    2x+2y=68x2y=62x    =   62x+2y = 68 \\ \underline{-x -2y = -62} \\ x\quad \ \ \ \ = \ \ \ 6 ​​

    Thus, The number of ₹50 notes received by Mahesh is 6

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