A book was sold for Rs.150 with a profit of 12%. If it were sold for Rs.135 then what would have been the percentage of profit or loss?
Question
A book was sold for Rs.150 with a profit of 12%. If it were sold for Rs.135 then what would have been the percentage of profit or loss?
Solution
Sure, let's solve this step by step.
Step 1: First, we need to find the cost price of the book. We know that the book was sold for Rs.150 with a profit of 12%. So, the cost price (CP) of the book can be calculated as:
150 = CP + 12% of CP 150 = 1.12 * CP So, CP = 150 / 1.12 = Rs.133.93 (approximately)
Step 2: Now, if the book was sold for Rs.135, we need to find out the profit or loss. Since the selling price (SP) is less than the cost price (CP), there would be a loss. The loss can be calculated as:
Loss = CP - SP Loss = 133.93 - 135 = - Rs.1.07
Step 3: Now, we need to find the percentage of loss. The percentage of loss can be calculated as:
Loss % = (Loss / CP) * 100 Loss % = (1.07 / 133.93) * 100 = 0.8% (approximately)
So, if the book was sold for Rs.135, there would have been a loss of 0.8%.
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