Multiple choice

A person sells an article at a profit of 10%. If he had bought the article at 5% less cost and sold for Rs. 8 more, he would have gained 20%. The cost price of the article is- एक व्यक्ति एक वस्तु को 10% के लाभ पर बेचता है। यदि वह इस वस्तु को 5% कम मूल्य पर खरीदता है और इसे 8 रू. अधिक में बेचता, वह 20% का लाभ प्राप्त करता। वस्तु का क्रय मूल्य है-

  1. 300

  2. 250

  3. 200

  4. 240
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. First case: SP at 10% profit = 1.1x. Second case: New CP = 0.95x, new SP = 1.1x + 8, profit = 20%. So 1.2(0.95x) = 1.1x + 8. Solving: 1.14x - 1.1x = 8, so 0.04x = 8, x = 200. Verify: Original CP 200, SP 220. New CP 190, SP 228 = 1.2 × 190 ✓

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