Multiple choice

A car when sold at a profit of 12% yields Rs. 90,200 more than when it is sold at a loss of 10%. What is the cost price of the car?

  1. Rs. 5,50,000

  2. Rs. 5,10,000

  3. Rs. 4,50,000

  4. Rs. 4,10,000

  5. Rs. .3,90,000

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

The difference between a 12% profit and a 10% loss is 22% of the cost price. Thus 22% of the cost price is Rs. 90,200, giving a cost price of Rs. 4,10,000.

AI explanation

The difference between a profit of 12% and a loss of 10% represents a 22% difference of the cost price. The problem states this numerical difference is Rs 90,200. Using the formula Cost Price equals (Difference divided by Net Percentage) times 100, we calculate 90,200 divided by 0.22, which results in Rs 4,10,000.