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

**Problem**

**Problem**

In a game, A’s score was 2/7^{th} of the total and B’s was 2/7^{th} of the remainder. If A scored 32 runs more than B, what was the total score?

- 350
- 364
- 378
- 392
- 420

**The Usual Method**

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Let the total score = *x*

Hence, A’s score =

Remainder =

B’s score =

Also, since A scored 32 runs more than B,

**(Ans: 4)**

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

**Using Technique**

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If *x* is the total score, than A’s score = and B’s score = . Since B’s score is a fractional multiple of *x*, with denominator = 49, the value of *x*, should be a multiple of 49 as B’s score has to be an integer. The only option that is a multiple of 49 from the options is option ‘4’.

**(Ans: 4)**

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

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