ABC26GN2946 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2008 · Marks: · Difficulty:

The ratio of the number of students studying in schools A, B and C is 6 : 8 : 7 respectively. If the number of students studying in each of the schools is increased by 20%, 15% and 20% respectively, what will be the new ratio of the number of students in schools A, B and C?
Answer
Answer (as printed):
Explanation
Let the number of students studying in schools $A, B$ and $C$ be $6x, 8x$ and $7x$ respectively. Then, new strength of school $A=120\%$ of $6x=\frac{36x}{5}$; new strength of school $B=115\%$ of $8x=\frac{46x}{5}$; new strength of school $C=120\%$ of $7x=\frac{42x}{5}$. $$\therefore \quad \text{Required ratio}=\frac{36x}{5}:\frac{46x}{5}:\frac{42x}{5}=18:23:21.$$

Explanation as extracted from the printed page; notation may be imperfect.

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