Q :- A cement company earns a profit of Rs. 8 per bag of white cement sold and a loss of Rs. 5 per bag of grey cement sold.
i) The company sells 3000 bags of white cement and 5000 bags of grey cement in a month. Find profit or loss
ii) What is the number of white cement bags it must sell to have neither profit nor loss ,if the number of grey cement bags sold is 6400?
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2x² + 2x = 365 - 1
2x² + 2x = 364
2(x² + x) = 364
or x² + x = 364/2
or x² + x = 182
or x² + x - 182 =0
Now Solve the Quadratic Equation ,
x² + 14x - 13x - 182 = 0
Note : - 13 *14 = 182 , this is because I write 14x - 13x instead of x , so as to solve the quadratic equation .
x (x+14) - 13 (x +14 ) = 0
( x- 13 )(x+14)=0
Therefore , Either x - 13 = 0 or x+14 =0
Since the Consecutive Integers are positive ,
therefore , x-13 = 0
⇒ x =13
hence One of the Positive Integers = 13 ,
therefore other positive integer = x+1 = 13+1 = 14
So the two
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