Here’s and example of a SMART MATH problem for RATIO PROPORTION.
Problem
What sum of money is divided between A, B and C; if B and C together get $100 and C and A together get $150 and A gets twice as much as B.
- $200
- $250
- $300
- $350
- $400
The Usual Method
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Let A, B and C individually get $’1’, $’2’ and $’3’.
Hence,
…… Eq. 1
and …… Eq. 2
…… Eq. 3
……From Eq. 1
from Eq. 1,
……From Eq. 2
Hence total sum = $200
(Ans: 1)
Estimated Time to arrive at the answer = 75 seconds.
Using Technique
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Simply by adding b + c = 100 and a + c = 150, we know that a + b+ 2c = 250. This means that a + b + c has to be less than a + b + 2c (i.e $250). This eliminates all options except ‘1’.
(Ans: 1)
Estimated Time to arrive at the answer = 5 seconds.
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