Categories

# [Smart Math] Percentages Problem 22

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

### 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?

1. 60%
2. 65%
3. 70%
4. 75%
5. 80%

### The Usual Method

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 = $\frac{300\times 5}{5+4+4+3+4}=\frac{300}{4}=75$

Hence percentage marks = 75%

(Ans: 4)

Estimated Time to arrive at the answer = 45 seconds.