Study the given graph and table and answer the following question.

Data of different states regarding population of states in the year 1998

Total population of the given states = 32760000

States Sex and literacy wise Population Ratio  
Sex Literacy
M F Literate Illiterate
Arunachal Pradesh 5 3 2 7
Madhya Pradesh 3 1 1 4
Delhi 2 3 2 1
Goa 3 5 3 2
Bihar 3 4 4 1
Uttar Pradesh 3 2 7 2
Tamil Nadu 3 4 9 4

What was the ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 3)
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  1. 21 ∶ 50
  2. 25 ∶ 16
  3. 16 ∶ 25
  4. 50 ∶ 21

Answer (Detailed Solution Below)

Option 2 : 25 ∶ 16
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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Given:

Total population of the given states = 32760000

Calculation: 

Total percentage as per the pie chart is 100%

⇒ 100% = 32760000

⇒ 1% = 327600

As per the question, 

The population of Arunachal Pradesh,

⇒ 25 × 327600

The population of Uttar Pradesh, 

⇒ 15 × 327600

Now female in Arunachal Pradesh is 3/8

and female in Uttar Pradesh is 2/5

⇒  25 × 327600 × 3/8 = 15 × 327600 × 2/5

⇒ 25:16

∴ The ratio of the number of females in Arunachal Pradesh to the number of females in Uttar Pradesh was 25 ∶ 16.

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