Question : A shopkeeper sells 105 m of cloth for Rs. 12600 at a profit of Rs. 20 per metre of cloth. What is the cost price of 20 m cloth?
Option 1: Rs. 4000
Option 2: Rs. 2000
Option 3: Rs. 1000
Option 4: Rs. 3000
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Correct Answer: Rs. 2000
Solution : Given, A shopkeeper sells 105 m of cloth for Rs. 12600. Profit = Rs. 20 per metre of cloth We know that cost price = Selling price – Profit 1 metre of cloth = Rs. 20 profit ⇒ Total profit in selling 105 m of cloth = Rs. 20 × 105 = Rs. 2100 ⇒ Cost Price of 105 m cloth = Rs. 12600 – Rs. 2100 = Rs. 10,500 $\therefore$ Cost Price of 20 m cloth = $\frac{10500}{105}\times20$ = Rs. 2,000 Hence, the correct answer is Rs. 2000.
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