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

**Problem**

**Problem**

For a certain article if the discount is 10%, the profit is 10%. What is the profit if the discount is 5%?

- 5%
- 10%
- 13%
- 15%
- 16%

**The Usual Method**

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Let the cost price of the article be $100. Hence selling price = $110.

Hence marked price =

But when a discount of 5% is given, the marked price becomes =

Hence Profit = – 100 = %

**(Ans: 5)**

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

**Using Technique**

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Approximating, we can guesstimate that if the discount is 10%, the gap between the marked price and the cost price is 20%. Now if the discount is only 5% the gap between the cost price and selling price = 15%. However, the discount being calculated on the marked price and profit % on the cost price (cost price < marked price in this case since profit is generated), the actual gap will be slightly more than 15%. Hence 16%.

**(Ans: 5)**

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

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