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Question

Mathematics Question on Coplanarity of Two Lines

The owner of a milk store finds that he can sell 980L980\,L of milk each week at ?

A

1240L1240 \,L

B

1340L1340 \,L

C

1350L1350 \,L

D

None of these

Answer

1340L1340 \,L

Explanation

Solution

Let price and litre be denoted in ordered pair (x,y)(x, y), where xx denotes the ? Given (14,980)(14, 980) and (16,1220)(16,1220) are two points. Then, equation of line passing through (14,980)(14, 980) and (16,1220)(16, 1220) is y980=12209801614(x14)y-980=\frac{1220-980}{16-14}\left(x-14\right) y980=120x1680\Rightarrow y - 980 = 120x - 1680 120xy=700\Rightarrow 120x-y=700 Put x=17x=17, we get (120×17)y=700\left(120 \times 17\right)-y=700 y=2040700\Rightarrow y = 2040 - 700 y=1340\Rightarrow y=1340 So, he will sell weekly 1340L1340\,L of milk at the rate of ?