Published on: February 18, 2016 3:30 PM

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**Mathematics Shortcuts: Percentage (Part 2)**

Greetings Aspirants,

In the previous article, we discussed how to calculate basic percentage problems mentally. In this article, we will go one notch higher to solve some genuine percentage problems.

*Note: There is always a basic approach while solving a question. This article is more about learning a quicker approach. *

Alright, before we begin let’s recall what we know so far. Percent (Per-cent) means “out of 100” or “Per 100”. It is a way to express a part-to-whole relationship i.e. “How many parts or portions you’ve got out of a whole thing”. For Example, if you say that you have finished 1/3^{rd} of your work then it means that you have finished 33% of your work. (How?)

1/3 = 33.33/100

We also learned that 50%, 10%, 5%, 1% of a value is always easier to calculate. For example, if we are to calculate 6% of 120.

Now, we can calculate it using basics too but in case you are willing to calculate it in your head, you do it as follows:

6% of 120 = 5% of 120 + 1% of 120

5% of 120 = half of 10% of 120 = half of 12 = 6

1% of 120 = 1.2

Hence, 6% of 120 = 6 + 1.2 = **7.2 **

Moving on, in this article we will discuss a formula that can solve various types of problems on percentage.

This single formula can solve a wide variety of problems that too in seconds.

1. **If A is R% more than B, then B is less than A by ** %

2. **If A is R% less than B, then B is more than A by** %

3. **If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is** %.

4. **If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is** %

**Read the previous article:** Mathematics Shortcuts: Percentage (Part 1)

Hope this was helpful.

**All the best,**

**OT Team**

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