Assuming that profit of a shopkeeper in a particular commodity is a linear expression of transportation charge (t) and the quantity of commodity (q) . He earns a profit of ₹ 10000 by selling 20 units at the transport charge of ₹ 400. He also earn a profit of ₹ 12000 by selling 25 units at the transport charge of ₹ 600. What is the linear expression in t and q?

600q - 5t
500q - 4t
600q - 4t
500q - 5t

Correct Answer: 500q - 5t

Explanation:

By hit and trial ,
Case I t = ₹ 400 and q = 20 unit
Then, from option (a),
Total profit = 600q - 5t
= 600 x 20 - 5 x 400
= 12000 - 2000 = ₹ 10000
Case II t ₹ 600 and q = 25 units
Total profit = 600q - 5t
= 600 x 25 - 5 x 600
= 600(25 - 5)
= 600 x 20
= ₹ 12000

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