Multiple choice

Raghunandan sells a machine for Rs. 45 lakh at a loss. Had he sold it for Rs. 55 lakh, his gain would have been 9 times the former loss. Find the cost price of the machine.

  1. Rs. 54 lakh

  2. Rs. 46 lakh

  3. Rs. 60 lakh

  4. Rs. 38 lakh
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Loss = x - 45. Gain = 55 - x. Given: 55 - x = 9(x - 45). 55 - x = 9x - 405. 10x = 460. x = 46.

AI explanation

Let the cost price of the machine be Rs. x lakh. Selling at Rs. 45 lakh results in a loss of (x - 45) lakh. If sold for Rs. 55 lakh, the gain is (55 - x) lakh. According to the problem, this gain is nine times the former loss, so the equation is 55 - x = 9(x - 45). Solving this yields 55 - x = 9x - 405, meaning 10x = 460, so the cost price is Rs. 46 lakh.

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