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

**Problem**

**Problem**

If the shares of A and B are in the ratio and also, it is equal to that of B and C. What is the proportion in which profit is divided between A, B and C?

- 1 : 2 : 3
- 3 : 2 : 6
- 6 : 5 : 9
- 2 : 3 : 4
- 9 : 6 : 4

**The Usual Method**

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A : B = = B : C

A : B = 3 : 2 = B : C

A : B : C

3 : 2

3 : 2

9 : 6 : 4

Hence answer is 9 : 6 : 4.

**(Ans: 5)**

*Estimated Time to arrive at the answer = 30 seconds.*

**Using Technique**

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Note that is the same as 0.5 : 0.33.

Since 0.5 > 0.33, share of A > B and B > C

A > B > C. From amongst the options, only option ‘5’ satisfies this condition. Hence answer is 9 : 6 : 4.

**(Ans: 5)**

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

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