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Ratio Proportion Smart Math

[Smart Math] Ratio Proportion Problem 7

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

Ratio Proportion

Problem

If 5/7 of an integer is 1125, 4/7 of the same integer will be…

  1. 5625
  2. 4500
  3. 7875
  4. 900
  5. 1124

The Usual Method

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5/7 of x = 1125

\therefore x=\frac{1125\times 7}{5}

= 225 x 7 = 1575

\therefore 4/7 of 1575 = \frac{1575\times 4}{7}= 900

(Ans: 4)

Estimated Time to arrive at the answer = 45 seconds.

Using Technique

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Simply find those options that are multiples of 4. This is because the answer is \frac{4}{7}x some integer. In this case, the multiples of 4 are options ‘2’, ‘4’ and ‘5’. Of these, option ‘2’ can be eliminated as \frac{4}{7}x some integer < \frac{5}{7} x some integer, but in case of option ‘2’, 4500 > 1125.

Also option ‘5’ can also be eliminated as 1124 is very close to 1125. Hence, answer is option ‘4’.

(Ans: 4)

Estimated Time to arrive at the answer = 10 seconds.
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