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%
Solution
Let's solve this step by step:
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Let's assume the cost of a guava is 0.75. The cost of an apple is twice that of a banana, which is $1.50.
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If the cost of each type of fruit increases by 10%, the new cost of a guava is 0.825, and an apple is $1.65.
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The total cost of 4 bananas, 2 apples, and 3 guavas before the increase is (4*1.50) + (3*3 + 3 = $9.
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The total cost of 4 bananas, 2 apples, and 3 guavas after the increase is (4*1.65) + (3*3.30 + 3.30 = $9.90.
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The percentage increase in cost is ((final cost - initial cost) / initial cost) * 100 = ((9) / $9) * 100 = 10%.
So, the answer is 10%.
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