The following table gives information of panchayat elections held in six villages P, Q, R, S, T and U.

Village

Total number of votes

(in hundreds)

Votes polled

(in %)

Valid votes 

(in %)

P 50 80 80
Q 60 75 80
R 100 65 65
S 80 60 70
T 60 80 90
U 40 90 60

Hint:

1) percentage of votes polled = \(\rm {{Total \ votes \ polled} \over Total \ number \ of \ votes}\) × 100
 

2) percentage of valid votes = \(\rm {{Total \ valid \ votes} \over Total \ votes \ polled}\) × 100
 

Find the ratio of invalid votes of village R to that of village U?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 455 ∶ 268
  2. 321 ∶ 107
  3. 455 ∶ 288
  4. 423 ∶ 755

Answer (Detailed Solution Below)

Option 3 : 455 ∶ 288
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Detailed Solution

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Calculation:

Ratio of invalid votes of village R to that of village U = 100 × 65% × 35% : 40 × 90% × 40%

⇒ 65 × 35 : 36 × 40

⇒ 65 × 7 : 36 × 8

⇒ 455 : 288

∴ The required answer is 455 : 288.

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