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      Question

      If the total cost of 9 mangoes and 6 oranges is Rs. 270 and

      the total cost of 7 mangoes and 4 oranges is Rs. 200, then find the cost of 5 mangoes.
      A Rs.100 Correct Answer Incorrect Answer
      B Rs.210 Correct Answer Incorrect Answer
      C Rs.280 Correct Answer Incorrect Answer
      D Rs.300 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost of one mango and one orange be Rs. x and Rs. y, respectively.

      ATQ;

      9x+6y=270.....(I)

      7x+4y=200.....(II)

      Multiply Equation (II) by 3 and Equation (I) by 2, then subtract:

      21x+12y−18x−12y=600−540

      3x=60

      x=20

      Cost of 5 mangoes = 5×20=100 Rs.

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