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A book shop owner wants to sell his old edition books(Total No: 40). If he sells them at Rs. 148 per book, he would be able to sell all the books. But for every Rs.8 increase in price of the book, he will be left with one extra unsold book. Assuming that unsold books remain with him. If he wants to maximise his profit, then how many unsold books remain with him?
  • a)
    12
  • b)
    11
  • c)
    10
  • d)
    9
  • e)
    8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A book shop owner wants to sell his old edition books(Total No: 40). I...
unsold books = 12 -> (12*8 = 96); CP per book = 148 + 96 = 244 ; Revenue = 244 * 28 = 6832
unsold books = 11 -> (11*8 = 88); CP per book = 148 + 88 = 236 ; Revenue = 236 * 29 = 6844
unsold books = 10 -> (10*8 = 80); CP per book = 148 + 80 = 228 ; Revenue = 228 * 30 = 6840
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Most Upvoted Answer
A book shop owner wants to sell his old edition books(Total No: 40). I...
Given:
- Total number of old edition books = 40
- Selling price of each book = Rs. 148
- Increase in price per book = Rs. 8

To find:
- Number of unsold books

Approach:
1. Assume the number of unsold books to be x.
2. Calculate the selling price for x unsold books at Rs. 148 per book.
3. Calculate the selling price for the remaining (40 - x) sold books at (148 + 8x) per book.
4. Set up an equation based on the given conditions.
5. Solve the equation to find the value of x.

Calculation:
Let's assume the number of unsold books to be x.

Selling price for x unsold books = x * Rs. 148
Selling price for the remaining (40 - x) sold books = (40 - x) * (148 + 8x)

According to the given condition, the selling price for x unsold books is equal to the selling price for the remaining (40 - x) sold books.

x * 148 = (40 - x) * (148 + 8x)

Simplifying the equation:

148x = (40 - x)(148 + 8x)
148x = 5920 + 320x - 148x - 8x^2
0 = 5920 + 320x - 8x^2

Rearranging the equation:

8x^2 - 320x - 5920 = 0
x^2 - 40x - 740 = 0

Solving the quadratic equation using the factorization method or the quadratic formula, we find the roots of the equation:

x = 11 or x = -29

Since the number of unsold books cannot be negative, the number of unsold books is 11.

Therefore, the correct answer is option B) 11.
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Community Answer
A book shop owner wants to sell his old edition books(Total No: 40). I...
From options
unsold books = 12 -> (12*8 = 96); CP per book = 148 + 96 = 244 ; Revenue = 244 * 28 = 6832
unsold books = 11 -> (11*8 = 88); CP per book = 148 + 88 = 236 ; Revenue = 236 * 29 = 6844
unsold books = 10 -> (10*8 = 80); CP per book = 148 + 80 = 228 ; Revenue = 228 * 30 = 6840
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A book shop owner wants to sell his old edition books(Total No: 40). If he sells them at Rs. 148 per book, he would be able to sell all the books. But for every Rs.8 increase in price of the book, he will be left with one extra unsold book. Assuming that unsold books remain with him. If he wants to maximise his profit, then how many unsold books remain with him?a)12b)11c)10d)9e)8Correct answer is option 'B'. Can you explain this answer?
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A book shop owner wants to sell his old edition books(Total No: 40). If he sells them at Rs. 148 per book, he would be able to sell all the books. But for every Rs.8 increase in price of the book, he will be left with one extra unsold book. Assuming that unsold books remain with him. If he wants to maximise his profit, then how many unsold books remain with him?a)12b)11c)10d)9e)8Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A book shop owner wants to sell his old edition books(Total No: 40). If he sells them at Rs. 148 per book, he would be able to sell all the books. But for every Rs.8 increase in price of the book, he will be left with one extra unsold book. Assuming that unsold books remain with him. If he wants to maximise his profit, then how many unsold books remain with him?a)12b)11c)10d)9e)8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A book shop owner wants to sell his old edition books(Total No: 40). If he sells them at Rs. 148 per book, he would be able to sell all the books. But for every Rs.8 increase in price of the book, he will be left with one extra unsold book. Assuming that unsold books remain with him. If he wants to maximise his profit, then how many unsold books remain with him?a)12b)11c)10d)9e)8Correct answer is option 'B'. Can you explain this answer?.
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