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  • The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs 14/litre and 1220 litres of milk each week at Rs 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs 17

Q : 17     The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs\hspace{1mm}14/litre  and  1220  litres of milk each week at  Rs\hspace{1mm}16/litre .  Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at  Rs\hspace{1mm}17/litre ?

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best_answer

It is given that the owner of a milk store sell
980 litres milk each week at Rs\hspace{1mm}14/litre
and  1220  litres of milk each week at  Rs\hspace{1mm}16/litre
Now, if we assume the rate of milk as x-axis and Litres of milk as y-axis
Then, we will get coordinates of two points i.e.  (14, 980)  and   (16, 1220)
Now, the relation between  litres of milk and Rs/litres is given by equation 
(L-980)= \frac{1220-980}{16-14}(R-14)
(L-980)= \frac{240}{2}(R-14)
L-980= 120R-1680
L= 120R-700
Now, at Rs\hspace{1mm}17/litre he could sell
L= 120\times 17-700= 2040-700= 1340
He could sell 1340 litres of milk each week at Rs\hspace{1mm}17/litre

Posted by

Gautam harsolia

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