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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A shopkeeper sells an item with a discount on Online payment and without discount on Offline payment. The marked price of an item is Rs. 500. He offers a discount of 5% for online payment. He sells two items one with discount and another without a discount. The profit percentage on the whole transaction is 21.875%. Find the cost price of an item. Quantity II: Rs. 350

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A shopkeeper sells an item with a discount on Online payment and without discount on Offline payment. The marked price of an item is Rs. 500. He offers a discount of 5% for online payment. He sells two items one with discount and another without a discount. The profit percentage on the whole transaction is 21.875%. Find the cost price of an item. Quantity II: Rs. 350 Correct Answer <span lang="EN-US" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity I &gt; Quantity II</span>

Quantity I:

Marked price of an item = Rs.500

Discount percentage = 5%

Selling price of an item = 500 × 95/100 = Rs. 475

Selling price of an item without discount = Rs. 500

Total selling price of an items = 475 + 500 = Rs. 975

Let cost price of an item be Rs. A.

⇒ 21.875 = (975 – 2A)/2A × 100

⇒ 43.75A = 97500 – 200A

⇒ A = 400

The cost price of an item is Rs. 400

Quantity II: Rs. 350

So, we can observe Quantity I > Quantity II.

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