## Shortcut Rules to Solve Problems on Percentage - 2

## Effective for IBPS PO - SBI PO Exam

**Dear Reader,**

Here we will start a series of Quantitative Aptitude Shortcut Tricks for your upcoming SBI - IBPS - SSC and Other Government Competitive Exams. We will try to cover up all topics of the quantitative Aptitude Sections from which question was generally asked.

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**Trick – 1**

- If a number is successively increased by x%, y% and z%, then the single equivalent increases in that number will be

$\left[
x+y+z=\frac{xy+yz+zx}{100}+\frac{xyz}{{{100}^{2}}} \right]percent$

**Trick - 2**

- If one factor is increased by x% and the other increases by y%, then the effect on the product is given by

$\left[ x+y+\frac{xy}{100} \right]percent$
increase.

**Trick – 3**

- If one factor is increased by x% and the other factor also increases by x%, then the effect on the product is given by

$\left( 2x+\frac{{{x}^{2}}}{100}
\right)percent$ increase.

**Trick – 4**

- A man spends x% of his income. His income is increased by y% and his expenditure also increases by z%, then the percentage increase in his savings is given by

$\left[
\frac{100y-xz}{100-x} \right]percent$

**Trick – 5**

- If the first value is r% less than the second value then, the second value is $\left[ \frac{r}{100-r}\times 100 \right]percent$ more than the first value.

**Trick – 6**

- If the annual
decrease in the population of a town be r% and the present population be

**Questions for Practice****Q1. Find a single equivalent increase, if a number is successively increased by 10%, 15% and 20%**

**Q2.**

**The number of seats in a cinema hall is increased by 25%. The price of ticket is also increased by 10%. What is the effect on the revenue collected ?**

**Q3.**

**The landholding of a person is increased by 10%. Due to early monsoon, the product increases by 10 %. Then, what is the effect on revenue ?**

**Q4.**

**A man spends 75% of his income. His income is increased by 20% and his expenditure also increases by 10%. Find the percentage increase in his savings.**

**Q5.**

**If A’s salary is 30% less than that of B, then how much percent is B’s salary more than that of A ?**

**Q6.**

**If the annual decrease in the population of a town be 4% and the present population be 57600, what was it 2 years ago ?**

__Answers__**Answer 1. 51.8%**

**Answer 2. 37.5%**

**Answer 3. 21%**

**Answer 4. 50%**

**Answer 5. $42\frac{6}{7}%$**

**Answer 6. 62500**

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