Multiple choice

A shopkeeper get a profit of 30 % by selling an article. If the shopkeeper buy the article at 10% less than its price and sells it at 10% less than its selling price. The difference in the profit he makes is Rs. 300. Find the cost price of the article? एक दुकानदार को एक वस्तु बेचने पर 30% का लाभ होता हैं। यदि वह इसे क्रयमूल्य से 10% कम पर खरीदें तथा 10% कम मूल्य पर बचें तो लाभों के बीच का अंतर 300 रू. हैं। वस्तु का क्रय मूल्य ज्ञात कीजिये ?

  1. Rs.10000 10000 रू

  2. Rs.20000 20000 रू.

  3. Rs.5000 5000 रू.

  4. Rs.7500 7500 रू.

  5. None of these इनमें से कोई नहीं
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A Correct answer
Explanation

Let the cost price be Rs. x. Original selling price at 30% profit is 1.3x, giving profit of 0.3x. New cost price is 0.9x (10% less) and new selling price is 1.17x (10% less than original SP). New profit is 1.17x - 0.9x = 0.27x. The difference in profits is 0.3x - 0.27x = 0.03x = Rs. 300, so x = 300/0.03 = Rs. 10000. Option D (Rs.7500) would give a profit difference of Rs.225, and Option C (Rs.5000) would give Rs.150.

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