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# [Smart Math] Percentages Problem 40

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

A circle graph of a budget shows expenditure of 26.2% for housing, 28.4% for food, 12% for clothing, 12.7% for taxes and the balance for miscellaneous items. What is the percentage share of miscellaneous items?

1. 79.3%
2. 70.3%
3. 68.5%
4. 29.7%
5. 20.7%

### The Usual Method

You first add up all the percentages and subtract the sum from 100%. This will give the answer.

26.2% + 28.4% + 12.0% + 12.7% = 79.3%

100% – 79.3% = 20.7%

(Ans: 5)

Estimated Time to arrive at the answer = 45 seconds.

(Note: The time taken here is more because it involves addition of 4 numbers of 3 digits and subtraction also.)

### Using Technique

Just add the last digits (i.e. the digit after the decimal point).

i.e. 2 + 4 + 0 + 7 = 13

Since the last digit is 3 (of 13), after subtraction for 100, the last digit should be 7. This eliminates options ‘1’, ‘2’ and ‘3’.

Also if you approximately add the rounded up values, 26 + 30 + 12 + 12 = 80 and 100 – 80 = 20, we know that the answer should be close to 20 and ending with 7 as the last digit. This condition eliminates option ‘4’.

(Ans: 5)

Estimated Time to arrive at the answer = 15 seconds.
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