1.

the cost of 5 oranges and 3 apples is Rs. 35 and the cost of 2 oranges and 4 apples is Rs. 28. Find the cost of an orange and an apple.

Answer»

Let CP of 1 orange be x
And the cp of 1 apple be y
According to question
5X+3y=35 - - - - - (i)
2x + 4y=28 - - - - (ii)
Multiply by 2 in equation (i) and by 5 in equation (ii)

Now,
=> 10x+6y=70 - - - - (i)
=> 10x+20y=140 - - - (ii)
By subtraction equation (i) from (ii)
We get
=> 14y =70
=> Y= 10/14
=> Y=5
Putting the value of y in equation (i)
=> 5x+(3*5)=35
=> 5x =35-15
=> X =20/5
=> X =4
Hence
The cost of an orange =₹4
And the cost of an apple = ₹5

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