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

**Problem**

**Problem**

A and B have respectively $3000 and $4000 in a business. A receives $10/month out of the profit for running the business and the rest of the profit is divided in proportion of their investment. If in a year, A totally receives $390, what does B receive?

- $360
- $370
- $380
- $390
- $400

**The Usual Method**

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Let *P* be the profit at the end of the year.

Since A gets $10/month, at the end of the year, he receives (10 x 12) = $120.

Hence, balance profit to be distributed between A and B = P – 120 (i.e distributable profit)

A gets and

B gets

But A gets $390

= 390

= 390

Hence B’s share =

**(Ans: 1)**

*Estimated Time to arrive at the answer = 60 seconds.*

**Using Technique**

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If A receives $390 which includes $10 x 12 = $120

A’s share of distributable profit = 390 – 120 = 270

A and B should distribute the distributable profit in the ratio of their investments i.e. 3 : 4.

Now A’s share = 270, than B’s share will be = $360 (according to the proportion)

**(Ans: 1)**

*Estimated Time to arrive at the answer = 15 seconds.*

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