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

**Problem**

**Problem**

A profit of $13,000 is to be divided among A, B, C and D. What is A’s share, if A : B = 3 : 2, B : C = 3 : 2 and C : D = 3 : 2?

- $4500
- $5400
- $3600
- $1600
- $2400

**The Usual Method**

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A : B : C

3 : 2

3 : 2

9 : 6 : 4

So,

A : B : C : D

9 : 6 : 4

3 : 2

27 : 18 : 12 : 8

= 13000 (Where ‘*x*’ is the constant of proportionality)

A’s share = = $5400

**(Ans: 2)**

*Estimated Time to arrive at the answer = 45 seconds.*

**Using Technique**

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Using the rule explained in the section of Proportion in Stuff to Remember, we can directly write:

A : B : C : D = 27 : 18 : 12 : 8

We also know that share of A = 27*x*

Hence, the answer should be a multiple of 27. Hence option ‘2’.

**(Ans: 2)**

*Estimated Time to arrive at the answer = 10 seconds.*

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