Multiple choice

Loss incurred by selling a bike for Rs. 61,085 is the same as profit earned by selling that bike for Rs. 84,265. Find the cost price of the bike.

  1. Rs. 72,675

  2. Rs. 73,175

  3. Rs. 85,815

  4. Rs. 78,902

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

Let CP be the cost price. The loss is CP - 61085, and the profit is 84265 - CP. Since loss equals profit, CP - 61085 = 84265 - CP. Solving for CP gives 2*CP = 145350, so CP = 72675.

AI explanation

Because the loss incurred when selling for Rs. 61,085 equals the profit earned when selling for Rs. 84,265, the cost price is exactly halfway between these two selling prices. You can calculate this using the average formula, which states Cost Price equals (61085 plus 84265) divided by 2. Adding the two values gives 145350, and dividing that by 2 results in Rs. 72,675.

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