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
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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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