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 given on the List Price?
Answers
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) :-
→ List price = Rs100
→ 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) / 12 = 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.78125 .
Therefore,
→ Loss = cost Price - selling Price = 78125 - 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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