Multiple choice

By selling an article at (\frac{2}{3}) of the marked price, there is a loss of 25%. The ratio of the marked price and the cost price of the article is.

  1. $2 : 5$
  2. $5 : 2$
  3. $8 : 15$
  4. $15 : 8$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

SP = (2/3)MP, loss = 25%. So 0.75CP = (2/3)MP, giving MP/CP = (0.75 × 3)/2 = 2.25/1 = 15/8 = 15:8. Alternatively: if MP = 3x, SP = 2x. SP = 0.75CP, so CP = 2x/0.75 = 8x/3. Ratio MP:CP = 3x:8x/3 = 15:8.

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