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

**Problem**

**Problem**

Half of the consignment was sold at a profit of 10%. One third of the remaining is sold at a loss of 12% and the remaining at a loss of 6%. What would be the overall gain or loss % if the value of the total consignment was $8850?

- 2.5% loss
- 3% gain
- 1% gain
- 1.5% loss
- None of these

**The Usual Method**

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First you find out the fractional values of the parts

i.e. , and .

Now applying the respective percentages to it,

4425 x 10% = 442.5 (gain)

1475 x 12% = 177.0 (loss)

2950 x 6% = 177.0 (loss)

Hence, the net effect is 442.5 – 177.0 – 177.0 = 88.50 (gain)

Thus there is a net gain of % gain

** **

**(Ans: 3)**

*Estimated Time to arrive at the answer = 75 seconds.*

**Using Technique**

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Simply get the fractions and multiply with the respective percentages as shown below:

% (gain) i.e option ‘3’.

This is possible since we are only finding the net percentage and so the absolute value of $8850 cancels out and so is eliminated.

**(Ans: 3)**

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

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