Directions for questions 15 to 19: Select the correct alternative from the given choices. Urooj sold some wheat on a day by giving a discount of 30% per kg and made 10% profit. The next day, she sold 20% less wheat but made the same amount of profit. Find the discount percentage given per kg on the second day.21%28%32%Data is insufficient
Question
Directions for questions 15 to 19: Select the correct alternative from the given choices. Urooj sold some wheat on a day by giving a discount of 30% per kg and made 10% profit. The next day, she sold 20% less wheat but made the same amount of profit. Find the discount percentage given per kg on the second day.21%28%32%Data is insufficient
Solution
The language of the text is English. Here is the step by step solution to the problem:
Step 1: Let's assume the cost price of 1 kg of wheat is 110.
Step 2: On the first day, Urooj gave a discount of 30%, which means she sold the wheat for 110 per kg. This means the marked price (before discount) was $157.14 (because 70 is 70% of 157.14).
Step 3: On the second day, she sold 20% less wheat but made the same profit. This means she must have sold the wheat for a higher price per kg. The total selling price remains 137.5.
Step 4: To find the discount given on the second day, we need to compare this selling price to the marked price. We know the marked price was 157.14 - 19.64.
Step 5: To express this discount as a percentage of the marked price, we divide by the marked price and multiply by 100: (157.14) * 100 = 12.5%.
So, none of the given options are correct. The correct answer is 12.5%.
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