The cost price of 16 books is equal to the selling price of 30 books find the loss percentage?

Question

Answer

Solution:

Given:
Cost price of 16 books = Selling price of 30 books

Let's assume:
Cost price of 1 book = Rs. x
Selling price of 1 book = Rs. y

Calculations:
Cost price of 16 books = 16x
Selling price of 30 books = 30y
According to the given condition,
16x = 30y
To find the loss percentage, we need to calculate the loss.
Loss = Cost price - Selling price
Loss = 16x - 30y
As we know,
Cost price = Selling price + Loss
16x = 30y + (16x - 30y)
16x = 30y - 14y
16x = 16y
x = y
Therefore, Cost price of 1 book = Selling price of 1 book
So, there is no profit or loss in this scenario.

Loss Percentage:
Loss percentage is calculated as:
Loss Percentage = (Loss / Cost Price) * 100
Since there is no loss,
Loss Percentage = 0%
Therefore, the loss percentage in this case is 0%.

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