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

**Problem**

**Problem**

A bicycle is sold at a profit of 10%. Had it been sold for $10 less, the profit would have been 5% only. What is the cost price of the bicycle?

- $180
- $200
- $220
- $240
- $250

**The Usual Method**

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Let the cost price of the bicycle be $‘*x*’.

Hence selling price with 10% profit = 1.1*x*.

But had it been sold for $10 less, profit = 5% only.

Hence, 1.1*x* – 10 = 1.05*x*

$200

**(Ans: 2)**

*Estimated Time to arrive at the answer = 30 seconds.*

**Using Technique**

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By reducing $10 from selling price the profit reduces by 5%, hence $10 is equivalent to 5%, so 100% will be equivalent to $200.

**(Ans: 2)**

*Estimated Time to arrive at the answer = 5 seconds.*

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