MathematicsMeena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs. 50 and Rs. 100 notes only. Meena got 25 notes in all. Find how many notes Rs. 50 and Rs. 100 she received.

Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs. 50 and Rs. 100 notes only. Meena got 25 notes in all. Find how many notes Rs. 50 and Rs. 100 she received.


  1. A
    10, 15
  2. B
    15, 20
  3. C
    5, 10
  4. D
    10, 5 

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    Solution:

    Given,
    Money which Meena withdraws from the bank = Rs. 2000.
    Meena has total number of notes = 25
    Suppose there are x and y notes of 50 and 100 rupees,
    As, there are total 25 notes. So,
    ⇒(x+y)=25 ……. (i)
    Total money which Meena has = 2000. So,
    ⇒50x+100y=2000 Divide by 50 in both sides,
    ⇒x+2y=40 ……. (ii)
    Substitute of eq. (ii) – eq. (i),
    x+2y-x-y=40-25
    2y-y=15
    y=15
    Put the value of y in eq. (i),
    x+y=25
    x+15=25
    x=25-15
    x=10
    Thus, the Meena received by x = 10 notes of Rs. 50 and y = 15 notes of Rs. 100.
    Hence, option 1 is correct.
     

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