Multiple choice

A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.

  1. Rs. 175

  2. Rs. 200

  3. Rs. 250

  4. Rs. 150

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. Initial SP = 1.1x. New CP = 0.95x. New SP = 1.1x + 7. New gain = 20%, so 1.1x + 7 = 1.2 * (0.95x) = 1.14x. 0.04x = 7. x = 7 / 0.04 = 175.

AI explanation

Assuming the original cost price is C, the original selling price at a 10 percent profit is 1.1C. The hypothetical scenario involves a cost price of 0.95C and a selling price of 1.1C plus 7, resulting in a 20 percent profit, so the equation is 1.1C plus 7 equals 1.2 times 0.95C. Simplifying the right side gives 1.1C plus 7 equals 1.14C, meaning 0.04C equals 7. Solving for C yields a cost price of Rs. 175.

Keep practicing — related questions