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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12.5.
| Understanding/Application |
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Let the Cost Price of each article be Rs.100 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 = (2500 × 125)/100 = 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 = (7500 × 75)/100 = Rs.5625 Total Cost Price = Rs.10000 Total Selling Price = Rs.3125 + Rs.5625 = Rs.8750 |
| Loss percentage = [(C.P. - S.P.) × 100]/C.P. = [(10000 - 8750) × 100]/10000 = 1250/100 = 12.5% |