1/4 of Jatin’s money is Rs.2 more than 1/7 of Priya’s money :

Jatin and Priya have Rs. 41 at together. 1/4 of Jatin’s money is Rs.2 more than 1/7 of Priya’s money. Priya has

  1. Rs. 20
  2. Rs. 27.5
  3. Rs. 21
  4. Rs. 19.5
Anurag Mishra Professor Asked on 5th December 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) Rs. 21

    Explanation:-
    Let Jatin’s money be = Rs. X  and Priya’s money = Rs. Y

    Jatin and Priya have Rs. 41 altogether.
    Then, X + Y = 41  …………………………. (1) 

    1/4 of Jatin’s money is Rs. 2 more than 1/7 of Priya’s money.
    Then, X/4 – X/7 = 2
    7 X – 4 Y = 2 x 28
    7 X – 4 Y = 56 ……………………………. (2) 

    Multiply by 4 in equation (1),
    4 X + 4 Y = 164 …………………………. (3) 

    Add equation (2) & (3), 
    7 X + 4 X – 4 Y + 4 Y = 164 + 56
    11 X = 220
    X = 220/11
    X = 20

    Put the value of X in equation (1),
    Then, 20 + Y = 41
    Y = 41 – 20
    Y = Rs.21

    Then, the Priya has money Rs. 21. 

    Hence,the answer is (3) Rs. 21. 

    Anurag Mishra Professor Answered on 5th December 2015.
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