Select the correct answerThe 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?Options12%10%16%18%

Let's break down the problem step by step:

1. Let's assume the cost of a guava is $1.00.
2. According to the problem, a banana costs 25% less than a guava, so a banana costs $0.75.
3. An apple costs twice as much as a banana, so an apple costs $1.50.

Now, let's calculate the total cost of 4 bananas, 2 apples, and 3 guavas:

1. 4 bananas cost 4 * $0.75 =$3.00.
2. 2 apples cost 2 * $1.50 =$3.00.
3. 3 guavas cost 3 * $1.00 =$3.00.

So, the total cost of all the fruits is $3.00 (bananas) +$3.00 (apples) + $3.00 (guavas) =$9.00.

Now, let's calculate the new cost if each type of fruit increases by 10%:

1. A banana now costs $0.75 * 1.10 =$0.825.
2. An apple now costs $1.50 * 1.10 =$1.65.
3. A guava now costs $1.00 * 1.10 =$1.10.

Let's calculate the new total cost of 4 bananas, 2 apples, and 3 guavas:

1. 4 bananas now cost 4 * $0.825 =$3.30.
2. 2 apples now cost 2 * $1.65 =$3.30.
3. 3 guavas now cost 3 * $1.10 =$3.30.

So, the new total cost of all the fruits is $3.30 (bananas) +$3.30 (apples) + $3.30 (guavas) =$9.90.

The percentage increase in cost is calculated as follows:

( New cost - Old cost ) / Old cost * 100%

So, the percentage increase in cost is:

( $9.90 -$9.00 ) / $9.00 * 100% = 10%

So, the correct answer is 10%.