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There are 1080 bags in total (paper + fabric) sold by shops A, B, and C. (i) Shop A sold 25% more bags than shop B. Shop B sold an equal number of paper and fabric bags. (ii) The number of paper bags sold by shop B is double the number of fabric bags sold by shop A. (iii) The number of paper bags sold by shop C is 50% of the number of fabric bags sold by shop A. (iv) The number of fabric bags sold by shop C is 25% of that sold by shop B. How many more or fewer fabric bags sold by shops A and C together are there than paper bags sold by shops B and C together?
- 90
- 102
- 116
- 108
Correct answer: 108
Solution
Let fabric bags sold by A be x. Then paper bags sold by B = 2x, and since B has equal paper and fabric bags, total sold by B = 4x. Using the given relations and total 1080, the values work out consistently, and the required difference between (fabric A + fabric C) and (paper B + paper C) is 108.
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