Multiple choice

A person sells a table at a profit of $20\%$. If he had bought it at $10\%$ less cost and sold for Rs. $105$ more, he would have gained $35\%$. The cost price of the table is

  1. Rs. $7000$
  2. Rs. $7350$
  3. Rs. $9200$
  4. Rs. $8140$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100x. SP = 120x. New CP = 90x. New SP = 120x + 105. Gain = 35% of 90x = 31.5x. New SP = 90x + 31.5x = 121.5x. 121.5x = 120x + 105 => 1.5x = 105 => x = 70. CP = 100 * 70 = 7000.

AI explanation

Let the original cost price be x, so the new cost price is 0.90x. The new selling price is 0.90x multiplied by 1.35, which equals 1.215x. The original selling price is 1.20x, so the difference is 1.215x - 1.20x = 0.015x. Setting this equal to 105 gives x = 105 / 0.015, making the cost price Rs. 7000.

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