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# [Smart Math] Ratio Proportion Problem 19

Here’s and example of a SMART MATH problem for 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

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.