## Shortcut Rules to Solve Problems on Percentage - 4

## 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.

**Note:**The page may takes sometime to load the Quantitative formula's. If you face any problem just comment below the posts.

**Trick - 1**

**If x% and y% of a number (N)are ${{x}_{1}}$ and ${{y}_{1}}$ respectively, then following relationship exists****$\frac{{{x}_{1}}}{x}=\frac{{{y}_{1}}}{y}=\frac{N}{100}$**

**Trick - 2**

**If A is x% of C, and B is y% of C, then A is $\frac{x}{y}\times 100%$ of B.**

**Trick - 3**

**If original price of a commodity is Rs.${{O}_{r}}$ and new price of a commodity is Rs.N, then keeping expenditure (E) constant, change in quantity of commodity consumed $\left( \Delta Q \right)$ is obtained by the following formula,**

**$\Delta Q=\frac{E(N-{{Q}_{r}})}{N\times {{O}_{r}}}$**

**Trick - 4**

**If two values are respectively x% and y% less than a third value, then the second is the $\frac{100-y}{100-x}\times 100%$ of the first .**

**Trick -5**

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

**Trick -6**

**The population of a town is ${{P}_{1}}$. If the males increases by x% and the female by y%, the population will be ${{P}_{2}}$, then the number of males and females are given by**

**$\left[ \frac{{{P}_{2}}\times 100-{{P}_{1}}\left( 100+y \right)}{(y-x)} \right]$ and $\left[ \frac{{{P}_{2}}\times 100-{{P}_{1}}\left( 100+x \right)}{(y-x)} \right]$**

**Questions for Practice****Q1.**

**. 25% of a number is 20, what is 40% OF that number ? Also find the number.**

**Q2. Two numbers are respectively 20% and 25% of a third number. What percentage is the first of the second ?**

**Q3. . A reduction of Rs.2 per kg enables a man to purches 4 kg more sugar for Rs.16. Find the original Price of sugar.**

Q4. . Two numbers are respectively 30% and 40% less than a third value. What percent is the second of the first .

Q4. . Two numbers are respectively 30% and 40% less than a third value. What percent is the second of the first .

**Q5. . If A’s salary is 25% more than that of B, then how much percent is B’s salary less than that of A ?**

**Q6. The population of a town is 8000 . If the males increases by 6% and the female by 10%, the population will be 8600. Find the number of males and females in the town.**

__Answers__**Answer 1. 80**

**Answer 2. 80%**

**Answer 3. Rs.4 per kg**

**Answer 4.**

**$85\frac{5}{7}percent$**

**Answer 5. 20%**

**Answer 6. 3000**

## Post a Comment