Question 54

Out of 100 articles, 25 articles were sold at 25% profit and the remaining articles were sold at 25% loss. What will be the total loss percentage?

Solution

Let the Cost Price of each article be Rs.100
Then, Cost Price of 100 articles = 100*100 = Rs.10000
Cost Price of 25 articles = Rs.2500
Selling Price of 25 articles with a profit of 25% = 125% of Rs.2500 = Rs.3125
Remaining articles = 75
Cost Price of 75 articles = Rs.7500
Selling Price of 75 articles with a loss of 25% = 75% of Rs.7500 = Rs.5625
Total Cost Price = Rs.10000
Total Selling Price = Rs.3125+Rs.5625 = Rs.8750
Loss percentage = $$\dfrac{10000-8750}{10000}\times100 = \dfrac{1250}{10000}\times100 = 12.5$$%


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