Multiple choice

Rajan sells a machine for Rs. 52 lakh at a loss. Had he sold it for Rs. 62 lakh, his gain would have been 9 times the former loss. What is the cost price of the machine?

  1. Rs. 61 lakhs

  2. Rs. 53 lakhs

  3. Rs. 67.77 lakhs

  4. Rs. 45 lakhs
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Loss = x - 52. Gain = 62 - x. Given 62 - x = 9(x - 52). 62 - x = 9x - 468. 10x = 530, so x = 53.

AI explanation

Let the cost price be C lakhs. The former loss is (C - 52) and the later gain is (62 - C). Setting the gain equal to nine times the loss gives 62 - C = 9(C - 52). Solving this, 62 - C = 9C - 468, which simplifies to 10C = 530. The cost price is 53 lakhs.

Keep practicing — related questions