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

**Problem**

**Problem**

Two typewriters were sold for $8000 each. The first was sold at a profit of 40% and the second at a loss of 40%. What was the cost price of the first typewriter?

- $2400.00
- $5612.33
- $3666.66
- $3256.50
- $5714.28

**The Usual Method**

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Let the cost price of the first typewriter be ‘x’.

Hence, selling price = 1.4x (including 40% profit)

**(Ans: 5)**

*Estimated Time to arrive at the answer = 60 seconds since the division will take some time.*

**Using Technique**

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We know that selling price is 1.4 times the cost price. Hence, = the cost price.

We know that = 0.1428…

is a division by 7 (Since, 14 is a multiple of 7). Hence, the numbers after the decimal point will be of the type .14… The only option matching this criterion is option ‘5’.

**(Ans: 5)**

*Estimated Time to arrive at the answer = 10 seconds.*

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