A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Number of runs made by running:
110 (3*4+8*6)
= 110 60
= 50
Therefore, required percentage :
[( 50/ 110) * 100] %
=>
If two numbers are respectively 20% and 50% of a 3rd number then what % is the 1st number of the 2nd one?
Two numbers are respectively 20% and 50% more than the 3rd number. What percent is the first of the second? Consider 3rd number be 100%.
Then percent of 1st number to 2nd number =(120%/150%)×100=80%
If the radius of circle is increased by 110% its area is increased by
Option ( c) 341 is correct.
Explanation:
{Let the initial radius of circle = 10 cm
Then, it's area = π r^ 2
= π (10) ^2
= 100 π cm square.
Given, (radius is increased by 110%)
New radius = ( 100+110) % of 10 cm
=> 210% of 10 cm
{ 210 /100 * 10} cm
=> 21 cm
Therefore, area of circle of radius (21) cm
=> π (21) ^2
=> 441 π cm square.
Increase in area= ( 441 π  100 π ) cm square.
=> 341 cm square. }
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Number of valid votes
= 80% of 7500
= 6000
∴ Valid votes polled by other candidate
= 45% of 6000
= 45100×600045100×6000 = 2700
In an exam 80% of the students passed in Eng, 85% in Math and 75% in both. if 40 students failed in both subjects, the total number of students is?
Let n(A) = no. of students pass in english
n(B) = no. of students pass in math
n(A U B) = no. of students pass in either math or english
n(A ∩ B) = no.of students pass in both math and english
let x are no. of students
⇒ n(A U B) = n(A) + n(B)  n(A ∩ B)
= 80x/100 + 85x/100  75x/100
= 90x/100
no. of students fail in both either math or english = x  n(A U B)
⇒ 40 = x  90x/100
⇒ 40 = x/10
⇒ x = 400
total no. of students = 400
Mrs. Ruhani travels with 80% of her usual speed and thus gets late by 40 minutes. What will be the usual time taken by her in covering the same distances?
The price of rice is increased by 25% and as a result, a person can have 4kg less rice for Rs.400. What is the increase price of rice per kg?
In an examination, Summit got 30% marks and failed by 15 marks. In the same examination, Rohit got 40% marks, which is 35 marks more than the pass marks. Then what is the total marks in the examination?
The correct option is A.
Let the total marks be x.
Sumit got = 30% of x
= 0.3x
Passing marks = 0.3x+15
Rohit got = 40% of x
= 0.4x
Passing marks = 0.4x  35
Equating both passing marks , we get
0.3x+15 = 0.4x  35
50 = 0.1x
x = 500
After spending 40% in machinery, 25% in building, 15% in raw material and 5% in furniture, Harilal had a balance of Rs. 1305. The money with him was
In Mathematics exam, a student scored 30% marks in the first paper, out of the total of 180. How much should he score in second paper out of a total of 150, if he is to get an overall average of at least 50%
In an examination, it is required to get 36% of maximum marks to pass. A student got 113 marks and was declared fail by 85 marks. The maximum marks are
The correct option is B.
Let maximum marks be x.
Then
36% of x = (113+85). So x = (198*100/ 36) = 550
In an examination, 42% students failed in Hindi and 52% failed in English. If 17% failed in both the subjects, the percentage of those who passed in both the subject is
In a college election, a candidate secured 62% of the votes and is elected by a majority of 144 votes. The total number of votes polled is
The price of sugar is increased by 20%. If the expenditure is not allowed to be increased, the ratio between the reduction in consumption and the original consumption is
On decreasing the price of TV set by 30%, its sale is increased by 20%. What is the effect on the revenue received by the shopkeeper?
The value of a machine depreciates 10% annually. If its present value is Rs. 4000, its value 2 years hence will be:
The correct option is B.
Present value  4000
Depreciation  10% of present value annually
After one year value of machine will be = 4000  400(10% of 4000) = 3600
After 2nd year value of machine will be = 3600  360(10% of 3600) = 3240
The population of a town increases by 5% annually. If it is 15435 now, its population 2 years ago was:
A man’s wages were decreased by 50%. Again the reduced wages were increased by 50%. He has a loss of:
A number when increased by 37 ½% gives 33. The number is:
The price of an article has been reduced to 25%. In order to restore the original price, the new price must be increased by:
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