[Smart Math] Ratio Proportion Problem 37

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.

1. $200
2. $250
3. $300
4. $350
5. $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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