The ratio of the number of students studying in a school A, B and C is 5:6:8. If the number of students studying in each of the schools is increased by 30%, 25% and 25% respectively, what will be the new ratio?Options15:17:1913:15:2014:15:2013:14:15
Question
The ratio of the number of students studying in a school A, B and C is 5:6:8. If the number of students studying in each of the schools is increased by 30%, 25% and 25% respectively, what will be the new ratio?Options15:17:1913:15:2014:15:2013:14:15
Solution
The original ratio of students in schools A, B, and C is 5:6:8.
If the number of students in each school is increased by a certain percentage, we can find the new ratio by multiplying each original ratio by the corresponding percentage increase.
For school A, the number of students is increased by 30%. So, we multiply 5 (the original ratio) by 1.30 (representing a 30% increase). This gives us 6.5.
For school B, the number of students is increased by 25%. So, we multiply 6 (the original ratio) by 1.25 (representing a 25% increase). This gives us 7.5.
For school C, the number of students is also increased by 25%. So, we multiply 8 (the original ratio) by 1.25 (representing a 25% increase). This gives us 10.
So, the new ratio of students in schools A, B, and C is 6.5:7.5:10.
However, since ratios should be expressed in whole numbers, we can multiply each number in the ratio by 2 to eliminate the decimal, giving us a final ratio of 13:15:20.
Therefore, the correct option is 13:15:20.
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