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Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.
  • a)
    3 : 7
  • b)
    2 : 5
  • c)
    2 : 3
  • d)
    1 : 5
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Indian Book Depot sells two types of Books viz. Magazines and Novels....
Magazines - selling Price = 46
Loss = 8%
Cost Price = 46/90 × 100 = 50
Novels - Selling Price = 92
Gain = 15%
Cost Price = 92/115 × 100 = 80
Overall Mixture - Selling Price = 87
Profit = 16%
Cost Price = 87/116 × 100 = 75
? Required ratio = 1 : 5
Hence, the Option (D) is Correct.
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Most Upvoted Answer
Indian Book Depot sells two types of Books viz. Magazines and Novels....
Understanding the Problem
To find the proportion of magazines and novels needed to achieve a desired profit, we first need to calculate the cost price (CP) of each type of book.
Cost Price Calculations
- Magazines:
Selling Price (SP) = Rs. 46
Loss = 8%
Therefore,
CP = SP / (1 - Loss%)
CP = 46 / (1 - 0.08) = 46 / 0.92 = Rs. 50
- Novels:
Selling Price (SP) = Rs. 92
Gain = 15%
Therefore,
CP = SP / (1 + Gain%)
CP = 92 / (1 + 0.15) = 92 / 1.15 = Rs. 80
Desired Selling Price and Profit Calculation
- Combined Selling Price: Rs. 87
- Desired Profit: 16%
- Therefore, the effective cost price (CP) for the combined books should be:
CP = SP / (1 + Profit%) = 87 / (1 + 0.16) = 87 / 1.16 = Rs. 75
Setting Up the Equation
Let the number of magazines be 'x' and novels be 'y'.
- Total CP equation:
50x + 80y = 75(x + y)
Simplifying the Equation
- Rearranging gives:
50x + 80y = 75x + 75y
=> 80y - 75y = 75x - 50x
=> 5y = 25x
=> y = 5x
Finding the Ratio
The ratio of magazines to novels:
- x : y = x : 5x = 1 : 5
Thus, the required proportion is 1 : 5.
Conclusion
The answer is option D - the proportions of magazines to novels should be mixed in the ratio of 1 : 5 to achieve a profit of 16%.
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Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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Here you can find the meaning of Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Indian Book Depot sells two types of Books viz. Magazines and Novels. They sells magazines at Rs. 46 per book and incurs a loss of 8% whereas on selling the Novels at Rs. 92 per book and he gains 15%. In what proportion should the Magazines and Novels be mixed such that he can gain a profit of 16% by selling the combined books at Rs. 87 per book.a)3 : 7b)2 : 5c)2 : 3d)1 : 5e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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