Multiple choice

On selling 144 articles, James lost the selling price of 6 articles. His percent loss is- 144 वस्तुओं को बेचने पर जेम्स को 6 वस्तुओं के विक्रय मूल्य के बराबर हानि होती है। उसकी प्रतिशत हानि है -

  1. 4%

  2. 6%

  3. 8%

  4. 10%
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A Correct answer
Explanation

When 144 articles are sold and loss equals SP of 6 articles: Loss = 6 × SP. Loss% = (Loss/CP) × 100. Let CP of 1 article = x, SP of 1 article = y. CP of 144 articles = 144x, SP of 144 articles = 144y. Loss = 144x - 144y = 6y, so 144x = 150y, x/y = 150/144 = 25/24. Loss% = (6y)/(144x) × 100 = (6/144) × (24/25) × 100 = 4%. Alternatively: SP of 144 items loses SP of 6 items, so CP of 144 items = SP of 150 items, ratio CP:SP = 150:144 = 25:24, loss% = (25-24)/25 × 100 = 4%.

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