Multiple choice

A shopkeeper allows $15\%$ discount and still makes $5\%$ profit.Find the marked price of an a articles which costs him $Rs\ 340$

  1. $Rs\ 420$
  2. $Rs\ 320$
  3. $Rs\ 380$
  4. $Rs\ 360$
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A Correct answer
Explanation

CP = 340, Profit = 5% of 340 = 17. SP = 340 + 17 = 357. Discount = 15%, so SP = 0.85 * MP. 357 = 0.85 * MP => MP = 357 / 0.85 = 420.

AI explanation

Using the marked price formula, Marked Price equals Cost Price multiplied by ((100 + Profit Percentage) divided by (100 minus Discount Percentage)). Substituting the values gives Marked Price equals 340 multiplied by ((100 + 5) divided by (100 minus 15)). This simplifies to 340 multiplied by (105 divided by 85), which equals 340 multiplied by 21 divided by 17, resulting in a marked price of Rs. 420.

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