Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

The total number of students in a college is 270. If 2/3^{rd} of the number of students in the Science stream is same as 3/4^{th} of the number of students in the Arts stream and 3/5^{th} of the number of students in the Commerce stream, how many are Science students?

- 70
- 80
- 90
- 100
- 110

**The Usual Method**

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; where, ‘s’ = number of Science students, ‘1’ = number of Arts students and ‘3’ = number of Commerce students.

Also

From , we get:

From , we get:

**(Ans: 3)**

*Estimated Time to arrive at the answer = 60 seconds.*

**Using Technique**

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Note that 2/3^{rd} of Science students should be a natural number since number of students cannot be a fraction. Hence, number of Science students must be divisible by 3. The only option divisible by 3 is option ‘3’ i.e. 90 students.

**(Ans: 3)**

*Estimated Time to arrive at the answer = 5 seconds.*

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