Multiple choice

An article is sold at a loss of 10%. Had it been sold for Rs. 90 more, there would have been a gain of 5%. The original cost price of the article (in Rs.) is:

  1. 540

  2. 600

  3. 628

  4. 650
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be the cost price. Selling at 10% loss means SP = 0.9 × CP. If sold for Rs. 90 more, new SP = 0.9 × CP + 90, which gives 5% profit, so this equals 1.05 × CP. Therefore: 1.05 × CP = 0.9 × CP + 90. Solving: 0.15 × CP = 90, so CP = 90/0.15 = Rs. 600. This matches option B.

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