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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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