Multiple choice

The price of a handmade wall clock was set to ensure a 25% profit. If the clock had cost 25% less and had been sold for Rs. 6 less, the resulting profit would have been 50%. What was the original selling price, in rupees, of the wall clock?

  1. Rs. 40

  2. Rs. 42

  3. Rs. 48

  4. Rs. 60

  5. a

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = x. Original SP = 1.25x. New CP = 0.75x. New SP = 1.25x - 6. Profit = 50% means 1.25x - 6 = 1.5 * 0.75x = 1.125x. Then 0.125x = 6, so x = 48. Original SP = 1.25 * 48 = 60.

AI explanation

Let the original cost price be x; the original selling price to ensure a 25% profit is 1.25x. A 25% reduction in cost makes the new cost price 0.75x. Selling for Rs. 6 less gives a new selling price of 1.25x - 6, which yields a 50% profit on the new cost: 1.25x - 6 = 1.5 * 0.75x. Solving 1.25x - 6 = 1.125x gives 0.125x = 6, so x = 48. The original selling price is 1.25 * 48 = Rs. 60.