Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
$6200 is divided between P, Q, R and S such that Q’s share is 2/3rd of P’s and R’s is 5/6th of Q’s and S’s share is equal to that of Q and R together. What is P’s share?
- $900
- $2500
- $2200
- $1800
- $2000
The Usual Method
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P : Q : R
3 : 2
6 : 5
9 : 6 : 5
S = 6 + 5 = 11
P : Q : R : S = 9 : 6 : 5 : 11
Hence share of P = = $1800
(Ans: 4)
Estimated Time to arrive at the answer = 45 seconds.
Using Technique
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Note that
P = 3x and Q = 2x
Hence P’s share = multiple of 3. Only options ‘1’ and ‘4’ are multiples of 3. Thus all other options are eliminated.
Also note from the statement of the question itself that P > Q > R and S being Q + R, may be equal to, or less than or greater than P. Thus P’s share is significant.
$900 out of $6200 is not so significant as $1800 out of $6200. Hence $1800 is the share of P.
(Ans: 4)
Estimated Time to arrive at the answer = 15 seconds.
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