Q. 174.5( 86 Votes )

# 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/litre?

Answer :

The relationship between selling price and demand is linear.

Assuming selling price per litre along X-axis and demand along Y-axis, we have two points (14, 980) and (16, 1220) in XY-plane.

We know that the equation of the line passing through the points (x_{1}, y_{1}) and (x_{2}, y_{2}) is given by

∴

⇒

⇒ y – 980 = 120 (x – 14)

⇒ y = 120 (x – 14) + 980

When x = Rs 17/litre,

⇒ y = 120 (17 – 14) + 980

⇒ y = 120(3) + 980

⇒ y = 360 + 980 = 1340

Ans. The owner can sell 1340 litres weekly at Rs 17/litre.

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