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?
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?
Solution
To solve this problem, we first need to establish the initial cost of each fruit. Let's assume the cost of a guava is $1.
- Since the cost of a banana is 25% less than that of a guava, the cost of a banana is $0.75.
- The cost of an apple, which is twice that of a banana, is $1.50.
Next, we calculate the total initial cost of 4 bananas, 2 apples, and 3 guavas:
- 4 bananas cost 4 * 3.00
- 2 apples cost 2 * 3.00
- 3 guavas cost 3 * 3.00
So, the total initial cost is 3.00 + 9.00
Now, let's calculate the new cost if the cost of each type of fruit increases by 10%:
- The new cost of a banana is 0.825
- The new cost of an apple is 1.65
- The new cost of a guava is 1.10
The total new cost of 4 bananas, 2 apples, and 3 guavas is:
- 4 bananas cost 4 * 3.30
- 2 apples cost 2 * 3.30
- 3 guavas cost 3 * 3.30
So, the total new cost is 3.30 + 9.90
Finally, to find the percentage increase in cost, we subtract the initial total cost from the new total cost, divide by the initial total cost, and multiply by 100:
Percentage increase = ((9.00) / $9.00) * 100 = 10%
So, the percentage increase in cost of 4 bananas, 2 apples, and 3 guavas is 10%.
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