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Answer (Detailed Solution Below)

Option 3 : Rs $4,000$ / $4,000$ रुपये

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Detailed Solution

सही उत्तर Rs $4,000$ / $4,000$ रुपये है।

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Question:

A shopkeeper sells an article at a profit of 18%. Had he bought it for 5% less and sold it for Rs 30 more, his profit would have been 25%. Find the cost price of the article. / एक दुकानदार एक वस्तु को 18% लाभ पर बेचता है। यदि वह उसे 5% कम में खरीदता और 30 रुपये अधिक में बेचता, तो उसका लाभ 25% होता। वस्तु का क्रय मूल्य ज्ञात कीजिए।

1.
Rs $3,600$ / $3,600$ रुपये
2.
Rs $3,800$ / $3,800$ रुपये
3.
Rs $4,000$ / $4,000$ रुपये
4.
Rs $4,200$ / $4,200$ रुपये

Correct Answer: Rs $4,000$ / $4,000$ रुपये

Let CP $= x$. Original SP $= 1.18x$. New CP $= 0.95x$, new SP $= 1.18x + 30 = 1.25 \times 0.95x = 1.1875x$. Hence $0.0075x = 30$, so $x = 4000$. / मान लें क्रय मूल्य $= x$। मूल विक्रय मूल्य $= 1.18x$। नया क्रय मूल्य $= 0.95x$, नया विक्रय मूल्य $= 1.18x + 30 = 1.25 \times 0.95x = 1.1875x$। अतः $0.0075x = 30$, इसलिए $x = 4000$।

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