Question

if the cost price of 12 books is same as the selling price of 16 books, what is the loss percentage?

Answer 1

CP of 1 book = 1

CP of 16 Books = 16

SP of 16 Books = 12

16 - 12 = Rs 4 loss

4/16   x 100 = 25%

Answer 2

Define x:

Let the cost of 1 book be x

Cost of 12 books = 12x

Find the selling price of 1 book:

Selling price of 16 books = 12x

Selling price of 1 book = 12x ÷ 16 = 0.75x

Find the loss:

Loss = Cost Price - Selling Price

Loss = x - 0.75x = 0.25x

Loss Percentage = ( loss/cost price ) x 100

Loss percentage = (0.25x / x ) x 100 = 25%

Answer: The loss is 25%