Multiple choice

An article is sold at $10\%$ profit . If its cost price and selling price are $50$ less, the profit would be $5\%$ more. Find the cost price?

  1. $40$
  2. $45$
  3. $60$
  4. $120$
  5. $150$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let CP = x. SP = 1.1x. New CP = x-50, New SP = 1.1x-50. New profit = 15% (10%+5%). 1.1x-50 = 1.15(x-50). 1.1x-50 = 1.15x - 57.5. 0.05x = 7.5. x = 150.

AI explanation

Let the cost price be Rs. x. The original selling price at a 10% profit is 1.10x. If the cost price and selling price are both Rs. 50 less, the new selling price is 1.10x minus 50, and the new cost price is x minus 50; this results in a 15% profit, so 1.10x minus 50 equals 1.15 multiplied by (x minus 50). Solving the equation 1.10x minus 50 = 1.15x minus 57.50 gives 7.50 = 0.05x, so x = 150. The cost price is Rs. 150.

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