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Question

Study the following table chart carefully and answer the questions given below:
The following table shows the discount % given by different stores on different books. The marked price of every book on all stores are same.
 

पुस्तक/Booksदुकान/Stores
 1234
A14% 25%18%
B16%14%10% 
C12%  10%
D 6%9% 

The selling price of book A in store 1 is ₹395 and difference of selling price in store 2 and 3 is ₹36.825. What is the approx. discount percentage in store 2?

This question was previously asked in
UPSSSC PET 2023 Question Paper (28-Oct-2023) (Shift 2)
The correct answer is

16.98%

To find the approximate discount percentage for book A at store 2, let's first interpret the information given:

  1. The selling price of book A in store 1 is ₹395.
  2. The difference in the selling price between store 2 and store 3 is ₹36.825.
  3. From the given table, we know:
    • Discount at Store 1 for book A is 14%.
    • Discount at Store 3 for book A is 25%.

Next, we calculate the marked price of the book A:

  1. The discount at store 1 is 14%, so the selling price can be calculated as follows:
    • Let the marked price be \(M\).
    • Selling Price at Store 1 = \(M - \text{Discount at Store 1}\)
    • \(395 = M - \left( \frac{14}{100} \times M \right)\)
    • Simplifying, \(395 = M \times \left(1 - \frac{14}{100}\right) = M \times 0.86\)
    • Therefore, \(M = \frac{395}{0.86} \approx 459.30\)

Now, calculate the selling price at store 3:

  1. The discount at store 3 is 25%, therefore:
    • Selling Price at Store 3 = \(M - \left( \frac{25}{100} \times M \right)\)
    • \(= 459.30 \times \left( \frac{75}{100} \right) = 459.30 \times 0.75 = 344.475\)

Given that the difference between store 2 and store 3 prices is ₹36.825:

  1. Let the selling price at store 2 be \(S_2\).
  2. Then, \(S_2 - 344.475 = 36.825\)
  3. Solving for \(S_2\), \(S_2 = 344.475 + 36.825 = 381.3\)

Finally, calculate the discount percentage at store 2:

  1. Discount at Store 2 = \(M - S_2 = 459.30 - 381.3 = 78\)
  2. Therefore, Discount Percentage = \(\frac{78}{459.30} \times 100\% \approx 16.98\%\)

Thus, the approximate discount percentage at store 2 is 16.98%.

The correct answer is: 16.98%.

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Important Questions from Data Interpetation (Notes)

  1. Contours in the bivariate (weight, height) graph connect regions of approximately equal popula-tions. Which of the following interpretations is correct?

  2. The function $f(x)$ is plotted against $x$ as shown. Extrapolate and find the value of the function at $x = -1$.

  3. Which of the following inferences can be drawn from the above graph?

  4. Number of times a research paper is viewed and cited is shown in the plot. In which month was the percentage increase in citation more than the double of the percentage increase in view? 

  5. There are two examinations, A and B in a subject which are evaluated out of 30 and 70 marks, respectively. In order to pass the course the student has to get at least 40 % in total and at least 40 % in B. The following are the marks of the students $S_1$ to $S_4$.

    StudentsAB
    $S_1$1228
    $S_2$1029
    $S_3$1627
    $S_4$0529


    The only student/s to have passed is/are
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निर्देश: निम्नलिखित गद्यांश को पढ़कर पूछे गए प्रश्नों के उत्तर दीजिए । 

आज हिंदी भाषा जिस रूप में बोली और समझी जाती है वह खड़ी बोली का ही साहित्यिक भाषा रूप है. जिसका विकास मुख्यतः उन्नीसवीं शताब्दी मे हुआ । खडी बोली का प्राचीन रूप दसवीं शताब्दी से मिलता है किन्तु चौदहवीं शताब्दी के प्रारंभ में अमीर खुसरो ने पहली बार खड़ी बोली में कविता की रचना की। मध्यकाल तक खड़ी बोली मुख्यतः बोलचाल की भाषा के रूप में ही प्रचलित थी । उस युग में ब्रजभाषा और अवधी काव्य की भाषा थी । 

ब्रजभाषा को सूरदास ने, अवधी को तुलसीदास ने और मैथिली को विद्यापति ने सिंचित और पल्लवित किया । उस समय फारसी राजदरबार में राजकाज की भाषा हुआ करती थी । अतः इन्हीं कारणों से खड़ी बोली उपेक्षित-सी रही, लेकिन समस्त उत्तर भारत में जनसंपर्क की यही एकमात्र सशक्त भाषा थी । 19 वीं और 20 वीं शताब्दी में जब ज्ञान-विज्ञान का प्रसार हुआ तो खड़ी बोली सहज रूप से सर्वग्राह्य भाषा के रूप में तथा जनसंपर्क की भाषा के रूप में उभर कर सामने आई क्योंकि यही सबसे अधिक व्यापक थी। 

संसार में अंग्रेजी व चीनी भाषा के बाद हिंदी बोलने वालों की संख्या सर्वाधिक है । मुद्रण के आविष्कार, भारत में में अंग्रेजी गद्य साहित्य के प्रसार, राजनीतिक जागरूकता के उद्भव, पत्र-पत्रिकाओं के प्रकाशन, जनसाधारण तक पहुँचने की आवश्यकता आदि कारणों ने खड़ी बोली से विकसित हिंदी को सम्पूर्ण भारत की सर्वाधिक प्रयोग की जाने वाली जनसम्पर्क की भाषा के रूप में स्थापित कर दिया । इसी अवधि में भारतेन्दु हरिश्चंद्र महावीर प्रसाद द्विवेदी और प्रेमचन्द आदि ने हिंदी गद्य को निखारने व परिष्कृत करने में योगदान दिया । जन समुदायों को संबोधित करने के लिए गाँधी, तिलक, दयानन्द सरस्वती आदि राजनैतिक और धार्मिक नेताओं ने हिंदी का प्रयोग किया । 

सन् 1949 ई. में संविधान में देश की राजभाषा के रूप में स्वीकृत होने के पश्चात् इसने अब एक राष्ट्रीय तथा अन्तर्राष्ट्रीय स्थान प्राप्त कर लिया है । देश के अधिकतर राज्यों में शासन और शिक्षा की भाषा हिंदी है। पंजाब, गुजरात और महाराष्ट्र ने इसे द्वितीय भाषा के रूप में मान्यता दी है ।

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