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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.

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. Correct Answer 1 : 5

Magazines - selling Price = 46

Loss = 8%

Cost Price = 46/92 × 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

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∴ Required ratio = 1 : 5

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