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

**Problem**

**Problem**

In a examination of 5 subjects, all with the same maximum score, a candidate scored 60% in the aggregate and marks in proportion to 5 : 4 : 4 : 3 : 4 in individual subjects. What was his highest score in any subject?

- 60%
- 65%
- 70%
- 75%
- 80%

**The Usual Method**

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Assuming that the maximum marks in a subject is 100, hence average marks in 5 subject = 60

Hence total marks in 5 subjects = 60 x 5 = 300.

Maximum marks will be that whose proportion is ‘5’ from 5 : 4 : 4 : 3 : 4.

Hence maximum marks =

Hence percentage marks = 75%

**(Ans: 4)**

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

**Using Technique**

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Simple observing 5 : 4 : 4 : 3 : 4 we notice that the average of 5, 4, 4, 3 and 4, is 4.

Hence, 4 corresponds to the average of 60% and so 5 will correspond to the average of 75% (using cross multiplication).

**(Ans: 4)**

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

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