Percentage
Q41. The price of an article has been reduced by 20%. In order to restore it to the original price, the new proce must be increased by
(a) 23%
(b) 25%
(c) 26%
(d) 27%
Answer: (b) 25%
Let the original price be Rs. 100
Rducing price = 100 - 20 = Rs. 80
For getting Rs. 100
Rs. 80 is increased by = Rs. 20
∴ Rs. 1 is increaded by = Rs | 20 |
80 |
∴ Rs. 100 is increaded by = Rs | 20 | X 100 = 25% |
80 |
Q42. What percent is 5% of 7% ?
(a) 51 3/7%
(b) 63 3/7%
(c) 71 3/7%
(d) 79 3/7%
Answer: (c) 71 3/7%
Required percent = | 5/100 | X 100 % |
7/100 |
= | 5 | X 100 % |
7 |
= 71 | 3 | % |
7 |
Q43. A student who secures 20% marks in a test fails by 30 marks. Another student who secures 32% marks get 42 marks more than those required to pass. Pass percentage of marks is
(a) 25%
(b) 28%
(c) 30%
(d) 35%
Answer: (a) 25%
Let, the total marks be x
A/Q 20% of x + 30 = 32% of x - 42
⇒ | 20 | X x + 30 = | 32 | X x - 42 |
100 | 100 |
⇒ | x | + 30 = | 8x | - 42 |
5 | 25 |
⇒ | 8x | - | x | = 30 + 42 |
25 | 5 |
⇒ | 8x - 5x | = 72 |
25 |
⇒ | 3x | = 72 |
25 |
⇒ x = 72 X | 25 | = 24 X 25 = 600 |
3 |
Pass marks = | 20 | X 600 + 30 = 120 + 30 = 150 |
100 |
Pass % = | 150 | X 100 = 25% |
600 |
Q44. a is 5 times as large as b. The percent that b is less than a is
(a) 80%
(b) 85%
(c) 90%
(d) 95%
Answer: (a) 80%
a = 5b
b less than a by 4b
Percentage of b less than a by | 4b | X 100% = 80% |
5b |
Q45. The length and breadth of a rectangle are increased by 5% and 10% respectively. The area of the new rectangle so formed exceeds the area of former by
(a) 14.2%
(b) 15.5%
(c) 16.3%
(d) 18.5%
Answer: (b) 15.5%
Let the length of the rectangle = l
The breadth of the rectangle = b
∴ Area = l X b = lb
After increasing
length of the rectangle = l + l X 5% = l + 5l/100 = 105l/100
breadth of the rectangle = b + 10% X b = b + 10b/100 = 110b/100
Area = | 105 l | X | 110b |
100 | 100 |
= | 21 l | X | 11b |
20 | 10 |
= | 231 lb |
200 |
Area Increase = | 231 lb | -lb |
200 |
= | 31 lb |
200 |
Increase % = | 31 lb/200 | X100 |
lb |
= | 31 | X100 |
200 |
= 15.5 %
Q46. 40% of ? = 120
(a) 250
(b) 280
(c) 285
(d) 300
Answer: (d) 300
40% of x = 120
⇒ 40/100 X x = 120
⇒ x = 120 X 10/4 = 300
Q47.The income of a broken remains uncharged through the rate of the commission is increased from 3% to 4%. The percentage of slump in bussinedd is
(a) 20%
(b) 25%
(c) 30%
(d) 35%
Answer: (b) 25%
Let the bussiness value change from x to y
Then 3% of x = 4% of y
⇒ | 3x | = | 4y |
100 | 100 |
⇒ 3x = 4y
⇒ y = ¾ x
Decress in business = (x - ¾ x) = x/4
Percentage slump in bussiness = | x/4 | X 100 % |
x |
= | x | X 100 % |
4x |
= 25%
Q48. 0.05 is how many percent of 40
(a) 0.135
(b) 0.130
(c) 0.125
(d) 0.120
Answer: (c) 0.125
A/Q 40 X x% =0.05
⇒ 40 X | x | = 0.05 |
100 |
⇒ x = | 0.05 X 10 |
4 |
= | .5 |
4 |
= 0.125
Q49. Ram's salary is 20% less than Hari, then how many percent Hari's salary more than that of Ram ?
(a) 18%
(b) 20%
(c) 23%
(d) 25%
Answer: (d) 25%
Hari's salary is more than that of Ram by { | R | X 100 } % |
100 - R |
= | 20 | X 100 % |
100 - 20 |
= | 20 | X 100 % |
80 |
= 25%
Q50. A man's wages were decreased by 50%. Again the reduced wages were increased by 50%. He has a loss of
(a) 20%
(b) 25%
(c) 28%
(d) 30%
Answer: (b) 25%
Let the initial wages = Rs. 100
∴ Decrease wages = Rs. 50
Finally wages = 150% of Rs. 50
= | 150 | X 50 = 75 |
100 |
∴ He has a loss of 25%
Practice Test Exam