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

**Problem**

**Problem**

$336 is to be divided between A and B such that A gets th of what B gets. What amount does A get?

- $75
- $80
- $100
- $105
- $125

**The Usual Method**

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Let the share of A be = ‘1’

And the share of B be = ‘2’

Hence, A’s share =

**(Ans: 2)**

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

**Using Technique**

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Since A’s share = of B,

, where ‘1’ and ‘2’ are the shares of A and B respectively.

Since all options are multiples of 5, the share of B under each option will be:

A’s share B’s share

75 336 – 75 = 261 (not a multiple of 16)

80 336 – 80 = 256 (is a multiple of 16)

No need to check further since, there can be only one answer. Hence, option ‘2’ is the answer.

**(Ans: 2)**

*Estimated Time to arrive at the answer = 15 seconds.*

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