Multiple choice

By selling an article for Rs. 144 a man gained such that the percentage gain equals the cost price. The cost price of the article is -

  1. Rs. 60

  2. Rs. 72

  3. Rs. 80

  4. Rs. 64
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. Gain percentage = x%, so gain = (x/100) × x. SP = CP + gain = x + x²/100 = 144. Multiplying by 100: x² + 100x = 14400. Rearranging: x² + 100x - 14400 = 0. Solving: x = [-100 ± √(10000 + 57600)]/2 = [-100 ± 260]/2. Positive solution: x = 80. Thus CP is Rs. 80. Verify: 80% of Rs. 80 = Rs. 64, SP = 80 + 64 = Rs. 144 ✓

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