Multiple choice

An article is sold at 45% profit. If its cost price is increased by $ Rs. 80$ and at the same time if its selling price is also increased by $ Rs. 70$, the percentage of profit becomes 30%. Find the cost price.

  1. $Rs.246$
  2. $Rs.226\frac{2}{3}$
  3. $Rs.293\frac{1}{3}$
  4. $Rs.226\frac{1}{3}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. SP = 1.45x. New CP = x + 80, New SP = 1.45x + 70. Profit % = ((New SP - New CP) / New CP) * 100 = 30. (0.45x - 10) / (x + 80) = 0.3. 0.45x - 10 = 0.3x + 24. 0.15x = 34. x = 34 / 0.15 = 3400 / 15 = 680 / 3 = 226 2/3.

AI explanation

Let the original cost price be x and the original selling price be 1.45x based on the 45 percent profit. When the cost price increases by Rs. 80 and the selling price increases by Rs. 70, the new profit percentage is 30 percent, so the new selling price is 1.30 multiplied by the new cost price (x + 80). Setting up the equation gives 1.45x + 70 equals 1.30(x + 80). Solving this yields 1.45x + 70 equals 1.30x + 104, which simplifies to 0.15x equals 34. Dividing 34 by 0.15 gives the original cost price of Rs. 226 and 2/3.

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