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.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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