**The Pie chart shows the population of various states in a certain year the total population is 60 lakhs.**

**The Population of Various States in a Certain Year.**

The angles subtended at the center of the circle by different sectors are shown in degrees. The percentage of the total population represented by that sector.

**Total Population = 60, 00,000.**

The table below gives a gender-wise and literacy wise population ratio. Study the pie chart and the table and answer the questions that follow:

State |
Gender RatioMale: Female |
Literacy RatioLiterate: Illiterate |

A |
4: 3 |
9: 4 |

B |
5: 3 |
8: 5 |

C |
3: 2 |
9: 5 |

D |
3: 5 |
7: 3 |

E |
9: 7 |
5: 2 |

F |
3: 1 |
1: 3 |

G |
7: 9 |
2: 1 |

**(2.1) What is the approximate total of literates of States ‘B’ and ‘D’ together?**

(a) 1288835

(b) 1289538

(c) 690462

(d) 694026

(e) None of these.

**Ans:- B**

**Solution: (literates of B) + (literates of D)**

**=> [(19 × 8/13) + (14 ×7/10)] × 60, 000. **

**=> [152 +1274] ×60, 000/130.**

**=> 1426 ×6000/13.**

**= 1289538**

**(2.2) The number of females in ‘A’, ‘C’ and ‘E’ is what percentage of the total population of all the above states (‘A’, ‘B’, ‘C’, ‘D’, ‘E’, ‘F’, ‘G’)?**

(a) 12.91%.

(b) 42.13%

(c) 21.91%

(d) 24.13%.

(e) None of these.

**Ans:- c**

**Solution:**

**Convert Degrees into percentage**

**Population of A = [82.8/360] ×100 = 23%**

**Population of C = [61.2/360] ×100 = 17%**

**Population of E = [43.2/360] ×100 = 12%**

**Females of A, C & E = [(23 × 3/7) + (17×2/5) + (12 ×7/16)]/100 × 60, 00, 000**

**No. of females of A, C & E is what % of total population**

**= [(69/7 + 34/5 + 84/16)/100] × 60, 00, 000/60, 00, 000**

**= [(69×80) + (102×34) + (35×84)/ (560)]/100**

**= [11928/560] × 100 = 21.91%**

**(2.3) If there be a decrease of 4% in the population of ‘E’ and an increase of 3% in the population of ‘F’, in the next year over the respective population of ‘F’ in the next year will be**

(a) 163:128

(b) 125:101

(c) 123:103

(d) 128:103

(e) None of these.

**Ans:- D**

**Solution:**

Present population of E = [43.2/360] ×6000000 = 7, 20, 000.

**4% of 720000 = 28, 800.**

Therefore, population of E next year = 7, 20, 000 – 28, 800 = 6, 91, 200

Present population of F = 9% of total population = 60, 00, 000 × 9/100 = 5, 40, 000

**3% of population = 16, 200**.

Therefore, population of F next year = 5, 40, 000 + 16, 200 = 5, 56, 200.

Therefore, Ratio of the population of E to the population of F next year

= 691200: 556200

**= 128: 103 (approx.)**

**(2.4) The number of females in state F is approximately what percentage of the number of females in state ‘G’?**

(a) 66.67%.

(b) 69.83%.

(c) 76.66%.

(d) 60.67%.

(e) None of these.

**Ans:- A**

**Solution:**

** **The population of State F = 9% of the total population = 5, 40, 000.

= 9% of the total population = 5, 40, 000.

Therefore, number of females in State F = 540000 × 1/ 4.

= 1, 35, 000.

The population of Stage G

= 6% of the total population = 3, 60, 000

Therefore, number of females in stage G = 3, 60, 000 × 9/16 = 2, 02, 500.

Therefore, number of females in State F = ((135000/ 202500) × 100)

**= 66.67%**

**(2.5) If 68.8% of the females and 72% of the males are literate in state ‘D’, then the ratio of male literates to female literates in that state is,**

(a) 109: 329

(b) 189: 301

(c) 131: 301

(d) 103: 329

(e) None of these.

**Ans:- B**

**Solution: Population of State D = 14% of the total population = 8, 40, 000**

**Male: Female ratio is 3:5**

**Therefore, number of males = 840000 × 3/8 = 3, 15, 000**

**Therefore, number of females = 840000 × 5/8 = 5, 25, 000**

**72% of males is 2, 26,800.**

**68.8% of females are 3, 61,200.**

**Therefore, the ratio of male literates to female literates is 226800:361200 or**

**189: 301.**

**(2.6) What is the ratio of the illiterates of State ‘A’ to those of State ‘G’ approximately?**

(a) 177: 50.

(b) 137: 65

(c) 183: 71

(d) 127: 73

(e) None of these.

**Ans:- A**

**Explanation:**

**Population of State A = 13, 80, 000.**

**Therefore, illiterates in State A**

**= 1380000 × 4/13 = 4, 24, 615.**

**Population of State G = 3, 60, 000**

**Therefore, illiterates in State G**

**360000 × 1/3 = 1, 20, 000**

**Illiterates in State A: Illiterates in State G = 177:50 (approx.)**