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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?Options18%12%10%16%

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?Options18%12%10%16%

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Solution

Let's solve this step by step:

  1. Let's assume the cost of a guava is 1.Therefore,thecostofabananais251. Therefore, the cost of a banana is 25% less, which is 0.75. The cost of an apple is twice that of a banana, which is $1.50.

  2. If the cost of each type of fruit increases by 10%, the new cost of a guava is 1.10,abananais1.10, a banana is 0.825, and an apple is $1.65.

  3. The total cost of 4 bananas, 2 apples, and 3 guavas before the increase is (4*0.75)+(20.75) + (2*1.50) + (3*1)=1) = 3 + 3+3 + 3 = $9.

  4. The total cost of 4 bananas, 2 apples, and 3 guavas after the increase is (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 is ((final cost - initial cost) / initial cost) * 100 = ((9.909.90 - 9) / $9) * 100 = 10%.

So, the answer is 10%.

This problem has been solved

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