Arithmatical - Percentage
DIRECTIONS : Problems based on Percentage.
16. |
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get ? |
|
A. 45% |
|
B. 57% |
|
C. 60% |
|
D. 65% |
Solution |
Total number of votes polled | = (1136 + 7636 + 11628 ) |
= 20400. |
Required percentage | = (11628 / 20400 ×100)% |
= 57%. |
|
17. |
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%. then what was the cost of the tax free items? |
|
A. Rs.15 |
|
B. Rs.15.70 |
|
C. Rs.19.70 |
|
D. Rs.20 |
Solution |
Let the amount of taxable purchases be Rs.x. |
Then, 6% of x | = 30/100 |
x ‹=› (30/100×100/6) |
= 5. |
Cost of tax free items | = Rs.[25 - (5 + 0.30)] |
= Rs. 19.70 |
|
18. |
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State? |
|
A. 7600 |
|
B. 8000 |
|
C. 8400 |
|
D. Data inadequate |
Solution |
Let the number of candidates appeared from each state be x. |
Then, 7% of x - 6% of x | = 80 |
‹=›1% of x = 80 |
‹=› x= 80 ×100 |
=8000. |
|
19. |
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction? |
|
A. 8% |
|
B. 9% |
|
C. 10% |
|
D. 11% |
Solution |
Actual price | = Rs. (25 + 2.50) |
= Rs. 27.50 |
Therefore, saving | = (2.50 / 27.50 ×100)% |
= 100 / 11% |
= 9×1/11% |
= 9%. |
|
20. |
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are |
|
A. 39, 30 |
|
B. 41, 32 |
|
C. 42, 33 |
|
D. 43, 34 |
Solution |
Let their marks be (x+9) and x. |
Then, x+9 | = 56/100(x + 9 +x) |
‹=› 25(x+9) |
‹=› 14 (2x + 9) |
‹=›3x = 99 |
‹=›x = 33. |
SO, their marks are 42 and 33. |
|