To find the cost price (CP) of the book when sold at ₹250 with a loss of 10%, we start by using the formula for loss percentage:
Loss % = ((CP - SP) / CP) × 100
Here, SP (Selling Price) is ₹250 and Loss % is 10%. Rearrange the formula to find CP:
10 = ((CP - 250) / CP) × 100
Solving for CP, we get:
10/100 = (CP - 250) / CP
0.1 = (CP - 250) / CP
Multiply both sides by CP:
0.1 * CP = CP - 250
Simplify to find CP:
CP - 0.1 * CP = 250
0.9 * CP = 250
Divide both sides by 0.9:
CP = 250 / 0.9
CP = ₹277.77
Therefore, the cost price of the book is ₹277.7.