Multiple choice

Passage

In each of the following questions, a question & then two statements – I & II are given. You have to determine that the data provided in these statements is enough to answer the question or not. Study both the statement: निम्नलिखित प्रत्येक प्रश्न में एक प्रश्न और फिर दो कथन I और II दिए गए हैं। आपको यह निर्धारित करना है कि इन कथनों में प्रदान किया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। दोनों कथनों का अध्ययन करें:

A shopkeeper marked an article somewhat above the cost price and sold it after two consecutive discounts. Find the difference in the cost price and the marked price of the article. एक दुकानदार ने एक वस्तु को क्रय मूल्य से कुछ अधिक अंकित किया और दो क्रमागत छूटों के बाद उसे बेच दिया। वस्तु के क्रय मूल्य और अंकित मूल्य में अंतर ज्ञात कीजिए। Statement I: The shopkeeper marked the article 50% above the cost price and sold it after two consecutive discounts of ‘d’% and ‘2d’% respectively. In this transaction the shopkeeper had a profit of 8%. Statement II: The shopkeeper marked the article ‘m’% above the cost price and sold it after two consecutive discounts of 10% and 20% respectively. In this transaction the shopkeeper had a profit of Rs. 1,248. कथन I: दुकानदार ने वस्तु को क्रय मूल्य से 50% अधिक अंकित किया और इसे क्रमशः 'd'% और '2d'% की लगातार दो छूट के बाद बेच दिया। इस सौदे में दुकानदार को 8% का लाभ हुआ। कथन II: दुकानदार ने वस्तु पर 'm'% लागत मूल्य से अधिक अंकित किया और इसे क्रमशः 10% और 20% की लगातार दो छूट के बाद बेच दिया। इस लेन-देन में दुकानदार को 1,248. रुपये का लाभ हुआ।

  1. Only Statement I alone. केवल कथन I

  2. Only Statement II alone. केवल कथन II

  3. Both Statements I and II together. दोनों कथन I और II एक साथ

  4. Neither Statement I nor II is sufficient. न तो कथन I और न ही II पर्याप्त है।

  5. Either Statement I or II. या तो कथन I या II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We need CP and MP to find their difference. Statement I: MP = 1.5 CP (50% above). After two consecutive discounts of d% and 2d%, selling price = MP × (1-d/100)(1-2d/100) = 1.5 CP × (1-d/100)(1-2d/100). Profit = 8%, so SP = 1.08 CP. This gives: 1.5(1-d/100)(1-2d/100) = 1.08. Solving gives d = 20%. So MP = 1.5 CP, meaning difference = 0.5 CP. But we don't know CP value. Statement II: MP = (1+m/100)CP. After 10% and 20% discounts, SP = MP × 0.9 × 0.8 = 0.72 MP = 0.72(1+m/100)CP. Profit = Rs. 1248, so SP - CP = 1248. This gives 0.72(1+m/100)CP - CP = 1248, or CP[0.72(1+m/100) - 1] = 1248. We don't know m or CP individually. Combining: From I, MP - CP = 0.5 CP. From II, CP[0.72(1+m/100) - 1] = 1248. We still have CP unknown unless we can find m from the relationship. Actually, combining gives us both equations to solve for CP and m, making both statements necessary. Option C is correct.

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