[Smart Math] Ratio Proportion Problem 57

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

Problem

An officer divided his 35 hour work week as follows:

of his time was spent in sending mails

of his time in filing letters

of his time in reception work

The rest of his time is spent in messenger work.

What is the percent time spent on messenger work?

1. 6%
2. 10%
3. 12%
4. 16%
5. 21%

The Usual Method

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Total time spent in sorting mail, filing letters and reception work = hours.



29.5 hours.

Hence time spent for messenger work = 35 – 29.5 = 5.5 hours.

Hence % time spent on messenger work =

=

= %

(Ans: 4)

Estimated Time to arrive at the answer = 60 seconds.

Using Technique

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We already know that %, % and %.

Hence total time spent (in % terms) = 20% + 50% + 14% = 84% on sorting, filing and reception work.

Hence time spent on messenger work = 100 – 84 = 16%

(Ans: 4)

Estimated Time to arrive at the answer = 10 seconds.
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