Question : A fabric seller sells 65 m of cloth for INR 5,850 at a profit of INR 11 per metre of cloth. What is the cost price of 1 m of cloth?
Option 1: INR 70
Option 2: INR 89
Option 3: INR 80
Option 4: INR 79
Correct Answer: INR 79
Solution :
The selling price of 65 m of cloth = INR 5,850
Profit earned per metre of cloth = INR 11
Let the cost price of 1 metre of cloth be x.
The total cost price of 65 metres of cloth = 65x
The selling price of 65 metres of cloth = 65(x+11) = 65x + 715
According to the given information,
65x + 715 = 5,850
Solving for x, we get:
⇒ 65x = 5,850 – 715
⇒ 65x = 5,135
⇒ x = 79
$\therefore$ The cost price of 1 metre of cloth is INR 79.
Hence, the correct answer is INR 79.
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