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

**Problem**

**Problem**

A house is sold by A to B at a profit of 10% and by B to C at a loss of 10%. If C pays $980,100 for it, what was the cost of the house for A?

- $900,000
- $970,299
- $980,100
- $990,000
- $1,000,000

**The Usual Method**

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Let the cost of the house to A be $‘*x*’.

Hence, cost price to B = 1.1*x*

And cost price to C =

**(Ans: 4)**

*Estimated Time to arrive at the answer = 45 seconds.*

**Using Technique**

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Assume that the cost price to A = $100

Hence, cost price to B = $110

Hence, cost price to C = $99

Note that cost price to C < cost price to A.

Thus, 980,100 < cost price to A.

This eliminates options ‘1’, ‘2’ and ‘3’.

Also note that, if the cost to A = 100; cost to C = 99, thus if cost to A = $1,000,000; cost to C = $990,000, but actual cost to C = $980,100. Thus option ‘4’ is the answer.

**(Ans: 4)**

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

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