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5 cakes cost as much as 11 sweets, 4 sweets cost as much as 13 chocolates, 22 chocolates cost as much as 15 biscuits, 39 biscuits as cost as much 24 fruits, if 1 fruit cost is 90. What is the cost of 1 cake?Options270250240340

Question

5 cakes cost as much as 11 sweets, 4 sweets cost as much as 13 chocolates, 22 chocolates cost as much as 15 biscuits, 39 biscuits as cost as much 24 fruits, if 1 fruit cost is 90. What is the cost of 1 cake?Options270250240340

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Solution

The problem can be solved by working backwards from the cost of the fruit to the cost of the cake.

  1. First, we know that 24 fruits cost 24*90 = 2160.
  2. Since 39 biscuits cost the same as 24 fruits, 1 biscuit costs 2160/39 = 55.38 (approximately).
  3. Since 22 chocolates cost the same as 15 biscuits, 1 chocolate costs 15*55.38/22 = 37.74 (approximately).
  4. Since 4 sweets cost the same as 13 chocolates, 1 sweet costs 13*37.74/4 = 123.57 (approximately).
  5. Since 5 cakes cost the same as 11 sweets, 1 cake costs 11*123.57/5 = 271.65 (approximately).

So, the cost of 1 cake is approximately 271.65. However, since the options are all integers, the closest option to this value is 270. Therefore, the cost of 1 cake is 270.

This problem has been solved

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