If the cost price of 10 shirts is equal to the selling price of 8 shirts, then what will be the percentage gain or loss?

Correct option is C

Given:

Cost price of 10 shirts = Selling price of 8 shirts.

Formula Used:

Profit or loss percentage $$= \frac{{\text{Profit or Loss}}}{{\text{Cost Price}}} \times 100.$$​​

Solution:

​Let the cost price of one shirt be ₹x.

Therefore, the cost price of 10 shirts = 10 $$\times$$​ ₹x = ₹10x

Given that the selling price of 8 shirts is equal to the cost price of 10 shirts.

So, the selling price of 8 shirts = ₹10x

The selling price of one shirt = $$\frac{₹10x } 8 = \frac{₹5x } 4$$​​

Gain =$$\frac{ ₹5x } 4 - ₹x=\frac{ ₹x }4$$​​

Gain % = $$\frac{\frac{₹x } 4 }{ ₹x}\times$$​ 100 = 25%

Therefore, the gain percentage is 25%.

Alternate Method:

Profit percentage = $$\frac 14\times 100=25$$ %​

The percentage gain is 25%.