Multiple choice

Kamya purchased an item for Rs. 7,46,000 and sold it at a loss of 12 percent. With that amount she purchased another item and sold it at a gain of 12 percent. What was her overall gain/loss?

  1. Profit of Rs. 642.8

  2. Profit of Rs. 662.4

  3. Loss of Rs. 642.8

  4. Loss of Rs. 10742.4

  5. None of these

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

Successive percentage changes of -12% and +12% result in a net change of - (12^2)/100 = -1.44%. Loss = 1.44% of 746000 = 10742.4.

AI explanation

Kamya's first selling price is Rs. 7,46,000 * 0.88 = Rs. 6,56,480. Her final selling price after a 12% gain is Rs. 6,56,480 * 1.12 = Rs. 7,35,257.60. The overall loss is the initial cost price minus the final selling price: Rs. 7,46,000 - Rs. 7,35,257.60 = Rs. 10,742.40. The answer is a loss of Rs. 10742.4.