MathematicsA lady has 50 paise and Rs 1 coins in her purse. If in all, she has 40 coins total Rs 25.50 how many of each type of coins does she have?

A lady has 50 paise and Rs 1 coins in her purse. If in all, she has 40 coins total Rs 25.50 how many of each type of coins does she have?


  1. A
    50paisa coin =26, 1Rs. Coin = 11
  2. B
    50paisa coin =11, 1Rs. Coin =29
  3. C
    50paisa coin =29, 1Rs. Coin =11
  4. D
    None of these 

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    Solution:

    Concept: First we will make two equations assuming the number of coins and then we will subtract those two equations to get the number of coins.
    Let x be the 50 paisa coins and y be the Rs.1 coin.
    x+y=40…..(i)
    x2+y=25.50
    x+2y2=25.50
    x+2y=25.50×25.50
    x+2y=51…….(ii)
    Sub equ (i) from(ii)
    x+2y-x-y=51-40
    y=11
    Put y in equ (i)
    x+11=40
    x=29
    50paisa coin =29, 1Rs. Coin =11
    Hence, correct option is 3
     
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