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Percentages - Quant/Math - CAT 2009

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Interest
  10. Mensuration
  11. Mixtures & Alligations
  12. Number System
  13. Percentages
  14. Permutation & Combination
  15. Pipes & Cisterns And Work & Time
  16. Probability
  17. Profit & Loss
  18. Races
  19. Ratio, Proportion
  20. Speed, Time & Distance
  21. Trigonometry
  22. Miscellaneous
  23. General Knowledge
Question 4 the day: February 26, 2003

The question for the day is from the topic of Percantages.
If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?

(1) 20% Profit (2) 25% Loss
(3) 25% Profit (4) 33.33% Loss
Correct Answer - (3)

Solution:


Let Cost price of 1 article be Re.1.

Therefore, Cost price of 20 articles = Rs. 20.

Selling price of 16 articles = Rs. 20

Therefore, Selling price of 20 articles = (20/16) * 20 = 25

Profit = Selling price - Cost price

= 25 - 20 = 5

Percentage of profit = Profit / Cost price * 100.

= 5 / 20 * 100 = 25% Profit


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