Multiple choice

A laptop was sold at a profit of $15\%$. If it was sold at a price that was $10\%$ lower, the profit would have been $Rs.\ 1,050$. What is the cost price of the laptop?

  1. $Rs.\ 21,000$
  2. $Rs.\ 35,000$
  3. $Rs.\ 30,000$
  4. $Rs.\ 42,000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let cost price be CP. Selling price SP = 1.15 * CP. If price is 10% lower, new SP = 0.9 * 1.15 * CP = 1.035 * CP. The profit is 3.5% of CP = 1050. CP = 1050 / 0.035 = 30000.

AI explanation

Let the cost price of the laptop be x. The initial selling price is 1.15x, and the reduced selling price after a 10 percent decrease is 0.90 multiplied by 1.15x, which equals 1.035x. The difference between the original profit and the new profit is (1.15x minus x) minus (1.035x minus x), which equals 0.15x minus 0.035x equals 0.115x. We are given this profit difference is Rs. 1,050, so 0.115x equals 1050. Solving for x gives 1050 divided by 0.115, resulting in a cost price of Rs. 30,000.

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