Arithmatical - Percentage
DIRECTIONS : Problems based on Percentage.
6. |
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate go? |
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A. 57% |
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B. 60% |
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C. 65% |
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D. 90% |
Solution |
Total no of votes polled |
= ( 1136 + 7636 + 11628) |
= 20400. |
Required percentage | = [11628 / 20400 x 100]% |
= 57%. |
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7. |
What percentage of numbers from 1 to 70 have squares that end in the digit 1? |
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A. 1 |
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B. 14 |
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C. 17 |
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D. 20 |
Solution |
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. |
Number of such numbers = 14. |
Required percentage = [14 / 70 x 100]% |
= 20%. |
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8. |
What is 25% of 25% equal to |
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A. 0.625 |
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B. 0.0625 |
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C. 6.25 |
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D. 0.00625 |
Solution |
25% of 25% = 25 / 100 x 25 / 100 |
= 1 / 16 |
= 0.0625 |
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9. |
In an History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class? |
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A. 60 |
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B. 70 |
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C. 75 |
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D. 80 |
Solution |
Let the number of students in the class be 100 and let the required average be x. Then, |
(10 x 95) + (20 x 90) + (70 x x) |
‹=› (100 x 80) |
‹=›70x = 8000 - (950 + 1800) = 5250 |
‹=›x = 75. |
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10. |
If A's salary is 20% less than B's salary, by how much percent is B's salary more than A's? |
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A. 5% |
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B. 10% |
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C. 15% |
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D. 25% |
Solution |
Required percentage |
‹=› [20 / (100 - 20) x 100]% |
‹=› 25% |
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