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

**Problem**

**Problem**

B earns 20% more than A, C earns 25% more than B and D earns 30 % more than C. If D earns $975, what does A earn?

- $195
- $375
- $450
- $500
- $600

**The Usual Method**

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Let the earning of A be ‘1’

Hence,

B will earn 1.20*a*

C will earn 1.25 x 1.20*a*

D will earn 1.30 x 1.25 x 1.20*a*

Since D’s earning = $975

1.30 x 1.25 x 1.20*a* = 975

= 500

** **

**(Ans: 4)**

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

**Using Technique**

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If A’s earnings = $100

B will earn = $120 (20% more than A)

C will earn = $150 (25% more than B)

D will earn $200 (30% more than C)

Since, the ratio of A’s earning to that of D is almost 1 : 2, A’s earning will be very close to half of D’s earning.

Thus approximate earning of A = 975 / 2 = 487.5.

The only answer closest to this is option’4’ = $500

**(Ans: 4)**

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

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