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The cost of an apple is twice that of a banana and the cost of a banana is 25% less than that of a guava. If the cost of each type of fruit increases by 10%, then the percentage increases in cost of 4 bananas, 2 apples and 3 guavas is?Options10%16%18%12%

Question

The cost of an apple is twice that of a banana and the cost of a banana is 25% less than that of a guava. If the cost of each type of fruit increases by 10%, then the percentage increases in cost of 4 bananas, 2 apples and 3 guavas is?Options10%16%18%12%

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Solution

Let's solve this step by step:

  1. Let's assume the cost of a guava is 1.00.Therefore,thecostofabanana,whichis251.00. Therefore, the cost of a banana, which is 25% less than a guava, would be 0.75. The cost of an apple, which is twice the cost of a banana, would be $1.50.

  2. If the cost of each type of fruit increases by 10%, the new cost of a guava would be 1.10,thenewcostofabananawouldbe1.10, the new cost of a banana would be 0.825, and the new cost of an apple would be $1.65.

  3. The total cost of 4 bananas, 2 apples, and 3 guavas before the price increase would be (4 * 0.75)+(20.75) + (2 * 1.50) + (3 * 1.00)=1.00) = 3.00 + 3.00+3.00 + 3.00 = $9.00.

  4. The total cost of 4 bananas, 2 apples, and 3 guavas after the price increase would be (4 * 0.825)+(20.825) + (2 * 1.65) + (3 * 1.10)=1.10) = 3.30 + 3.30+3.30 + 3.30 = $9.90.

  5. The percentage increase in cost would be ((9.909.90 - 9.00) / $9.00) * 100 = 10%.

So, the answer is 10%.

This problem has been solved

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