Multiple choice

By selling an article at $20\%$ discount, a shopkeeper gains $25\%$. If the selling price of the article is Rs. $1,440$; find the marked price of the article.

  1. Rs. $1,733$
  2. Rs. $1,800$
  3. Rs. $1,864$
  4. Rs. $1,900$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

SP = 1440. Gain = 25%. Cost Price = 1440 / 1.25 = 1152. Discount = 20%. SP = 0.8 * Marked Price. 1440 = 0.8 * MP. MP = 1440 / 0.8 = 1800.

AI explanation

Let the marked price be M; applying a 20% discount means the selling price is 80% of M, so 0.8M = 1440. Solving this equation gives M = 1440 / 0.8, which equals 1800. The marked price is Rs. 1800.

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