Multiple choice

Passage

Directions: Study the given information and answer the following question. The following table gives the discount offered by 5 different hardware stores on various items. Shop/Item Nuts Bolts Washers Screws Shop A - - 10% 10% Shop B - - 5% - Shop C 10% - - - Shop D - 5% - 10% Shop E - - - -

Shop D has a marked price of Rs. 115/kg for bolts. Shop D ends up making a profit of Rs. 14.25/kg. Shop B sources its bolts at a cost of Rs. 5/kg more than at what shop D does. What is the discount offered by shop B if the difference between the marked price and the sale price is Rs. 40 and it manages to make a profit of 20%?

  1. 25%

  2. 20%

  3. 15%

  4. 10%

  5. Cannot be determined
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A Correct answer
AI explanation

Shop D's selling price for bolts is the marked price of Rs. 115/kg minus the 5% discount, which equals Rs. 109.25/kg. The cost price for Shop D is the selling price minus the profit, so Rs. 109.25 minus Rs. 14.25 equals Rs. 95/kg. Shop B's cost price is Rs. 5/kg more, making it Rs. 100/kg. Shop B makes a 20% profit, so its selling price is 120% of Rs. 100, which is Rs. 120/kg. The difference between the marked price and sale price is Rs. 40, meaning the marked price is Rs. 160/kg. The discount percentage is Rs. 40 divided by Rs. 160, giving 25%.

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