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Ratio Proportion Smart Math

[Smart Math] Ratio Proportion Problem 19

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

Ratio Proportion

Problem

In a partnership between A, B and C, A’s capital is $5000. If his share of profit of $800 is $200 and C’s share is $130, what is B’s capital?

  1. $3250
  2. $6250
  3. $10250
  4. $11750
  5. Data Insufficient

The Usual Method

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If the shares of A and C are $200 and $130 respectively, than B’s share of profit = 800 – (200 + 130) = $470. Thus the share of A, B and C is $200, $470 and $130 respectively. Hence, the ratio of their shares = 20 : 47 : 13 = ratio of shares of investment.

If A’s investment = $5000, with a profit proportion of 20, B’s investment will be \frac{5000}{20}\times 47=\frac{235000}{20} = $11750

(Ans: 4)

Estimated Time to arrive at the answer = 45 seconds.

Using Technique

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Once, you get the ratio of share of profits = ratio of investments of A, B and C as 20 : 47 : 13, note that proportionate figure of investment of B is a prime number 47. Thus the investment of B should be a multiple of 47. From amongst the options, the only option that is a multiple of 47 is option ‘4’.

(Ans: 4)

Estimated Time to arrive at the answer = 15 seconds.
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