Question : The following table gives information on panchayat elections held in six villages P, Q, R, S, T, U.
| Village |
Total no.of votes |
Votes polled in % |
Valid votes |
| 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 $=\frac{\text { Total votes polled }}{\text { Total number of votes }} \times 100$
2) percentage of valid votes $=\frac{\text { Total valid votes }}{\text { Total votes polled }} \times 100$
Find the ratio of invalid votes of village R to that of village U.
Option 1: 455 : 268
Option 2: 321 : 107
Option 3: 455 : 288
Option 4: 423 : 755
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Correct Answer: 455 : 288
Solution :
Invalid votes = Total votes polled – Valid votes
Total votes polled in village R = 65% of 10000 = $\frac{65}{100}\times10000$ = 6500
Valid votes polled in village R = 65% of 6500 = $\frac{65}{100}\times 6500$ = 4225
⇒ Invalid votes = 6500 – 4225 = 2275
Total votes polled in village U = 90% of 4000 = $\frac{90}{100}\times 4000$ = 3600
Valid votes polled in village U = 60% of 3600 = $\frac{60}{100}\times 3600$ = 2160
⇒ Invalid votes = 3600 – 2160 = 1440
⇒ Ratio = 2275 : 1440 = 455 : 288
Hence, the correct answer is 455 : 288.
Related Questions
Question : The table given below shows the expenditure of two companies in different years.
| Companies | ||
| Years | L | M |
| P | 200 | 500 |
| Q | 150 | 350 |
| R | 300 | 250 |
| S | 100 | 150 |
| T | 400 | 100 |
$J_1$ = The total expenditure of Company L in all 5 years.
$J_2$ = The total expenditure of company M in all 5 years.
What is the value of ($J_1:J_2$)?
Option 1: 27 : 23
Option 2: 21 : 29
Option 3: 23 : 27
Option 4: 29 : 23
Question : The table given below shows the number of officers working in six companies.
| Companies | Officers |
| P | 150 |
| Q | 250 |
| R | 350 |
| S | 100 |
| T | 200 |
| U | 550 |
What is the ratio of number of officers working in Q to the number of officers working in R?
Option 1: $7 : 5$
Option 2: $6 : 7$
Option 3: $7 : 4$
Option 4: $5 : 7$
Question : The table given below shows the number of working days of a company in 5 years.
| Years | Working days |
| P | 110 |
| Q | 310 |
| R | 160 |
| S | 60 |
| T | 210 |
What is the ratio of the number of working days in year R to the number of working days in year T?
Option 1: 16 : 21
Option 2: 15 : 22
Option 3: 21 : 17
Option 4: 21 : 16
Question : The table given below shows the number of spoons manufactured by five factories.
| Factory | Spoons |
| P | 100 |
| Q | 200 |
| R | 150 |
| S | 50 |
| T | 250 |
What is the ratio of the number of spoons manufactured by P to the number of spoons manufactured by R?
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 14 : 1
Option 4: 1 : 3
Question : The table given below shows the number of boys and girls in a school in 6 years.
| Years | Boys | Girls |
| A | 80 | 70 |
| B | 60 | 50 |
| C | 120 | 100 |
| D | 100 | 140 |
| E | 160 | 40 |
| F | 90 | 80 |
What is the ratio of the number of boys in years A and C together to the number of girls in years E and F together?
Option 1: 7 : 2
Option 2: 7 : 3
Option 3: 5 : 3
Option 4: 5 : 2
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