Question

an item was sold at a profit of 12% after giving a discount of 12.5% on the list price what would be the gain or loss percentage if a discount of 25% is give on the list price​

Answer 1

Step-by-step explanation:

ans: appox 4%loss..exact is 4.11

Answer 2

Given :- An item was sold at a profit of 12% after giving a discount of 12.5% on the list price. what would be the gain or loss percentage if a discount of 25% is give on the list price.

Solution :-

Let us assume that, the list price of the item is Rs.100 .

Case 1) :-

So,

→ List price = Rs.100

→ Discount = 12.5% .

Than,

→ Selling Price = List Price * (100 - discount%) / 100 = {100 * (100 - 12.5)}/ 100 = Rs.87.5

Now, we have ,

→ selling Price of item = Rs.87.5

→ Profit % = 12% .

Than,

→ Cost Price of item = (Selling Price * 100) / (100 + Profit%) = (87.5 * 100) / (100 + 12) = (87.5 * 100) / 112 = Rs.78.125 .

Case 2) :-

→ List price = Rs.100

→ Discount = 25% .

Than,

→ Selling Price = List Price * (100 - discount%) / 100 = {100 * (100 - 25)}/ 100 = Rs.75

Now, we have ,

→ selling Price of item = Rs.75

→ Cost Price of item = Rs.78.125 .

Therefore,

→ Loss = cost Price - selling Price = 78.125 - 75 = Rs.3.125 .

Hence,

→ Loss % = (Loss in Rs. * 100) / (cost Price)

→ Loss % = (3.125 * 100) / (78.125)

→ Loss % = 4% (Ans.)

∴ Their will be loss of 4% if the item was sold at discount of 25% on the list price.

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