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[Smart Math] Percentages Problem 30

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

Problem

Every month M saves 1.67% of his salary of $6000. In how many months will M save$6000?

1. 60 months
2. 6 months
3. 52 months
4. 48 months
5. 12 months

The Usual Method

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In a month M saves 1.67% of $6000. i.e. $\frac{1.67}{100}\times 6000$ =$100.

Hence to save $6000, M will have to save for 60 months. (Ans: 1) Estimated Time to arrive at the answer = 45 seconds. Using Technique [contentblock id=google-adsense-post] Note that 1.67% = $\frac{10}{6}$( $\frac{1}{6}=0.1667$, $\therefore \frac{10}{6}=1.667$). Thus to save$6000, i.e 100% of the salary, M will have to save for 60 months ( $\because \frac{10}{6}=1.667$, he saves 10% of the salary in 6 months, so for 100%, he will take 60 months).

(Ans: 1)

Estimated Time to arrive at the answer = 15 seconds.
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