Question : The selling price of glass is Rs. 1287 and the loss percentage is 22 percent. If the selling price is Rs. 1848, then what will be the profit percentage?
Option 1: 12 percent
Option 2: 15 percent
Option 3: 10 percent
Option 4: 8 percent
Correct Answer: 12 percent
Solution :
If $C$ is the cost price then, according to the question,
Loss Percentage =$\frac{\text{Cost Price−Selling Price}}{\text{Cost Price}}×100$
⇒ 22% = $\frac{C –1287}{C}$
⇒ $\frac{22}{100}$ = $\frac{C –1287}{C}$
⇒ 22C = 100C – 128700
⇒ 78C = 128700
$\therefore$ C = 1650
Profit Percentage = $\frac{\text{Selling Price − Cost Price}}{\text{Cost Price}}×100$
$\therefore$ Profit Percentage = $\frac{\text{1848 − 1650}}{\text{1650}}×100=\frac{198}{1650}× 100 = 12\%$
Hence, the correct answer is 12 percent.
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