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

**Problem**

**Problem**

A man divides his property in such a way that his first three sons get , and of the property respectively and the fourth son gets the remainder amount of $2000. What was the whole property worth?

- $14000
- $16000
- $20000
- $24000
- $30000

**The Usual Method**

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Let the worth of the whole property be ‘*x*’.

Hence the shares of the first three sons will be: , and respectively.

Hence remaining property after dividing it among the first three sons is:

= $2000

$24000

**(Ans: 4)**

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

**Using Technique**

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Observe that the property needs to be divided into , and parts. This means that the property is divisible by 2, 4 and 6 i.e. 12 (LCM of 2, 4 and 6). Hence the property is divisible by 12. The only option that is divisible by 12 is $24000 (option ‘4’).

**(Ans: 4)**

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

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