Aptitude - Percentage - Discussion

Hey the correct answer is option d.55%
explaination:x%of a number is given as :(x*number)/100 and not (x*100)/number..
for eg 10%of 20 is 2...therefore according to my formula its (10*20)/100=2 but according to the way the sum has been solved here its (10*100)/20=50...which is wrong how can 50 be 10%of 20????
therefore here its (50*110)/100=55%

Thanks aprana your answer is very clear.

Let given that 110
4*3=12
6*8=48
12+48=60
110-60=50
(50/110)*100%
=45*5/11%

Total scored = 110
runs made by boundary and six = 3*4+8*6
=60
then run scored by running b\w the wicket =110-60
=50
.)lets take an eg. to convert any integral or fractional value into percentage

as we know 1/100 = %
so
x/100 = x%

eg. 1/2 = {(1/2)*100}/100 = 50%

similarly 1/3=33.33%

.)5/6 = 1/2+1/3 = 50%+33.33% = 83.33%

.)3/8 = 12.5*3 = 37.5% (1/8=12.5%)

now carefully read the last line of Que. What percent of his total score did he make by running between the wickets?

so % required = {(50/110)*100}/100 = 45.45%

An important interview question:

Question: 75% of a number when added to 75 becomes the number itself. The number is ?

Solution:

Let the required number be x.

x = 75% of x + 75

x = 75/100x + 75

1x = 0.75x + 75

1x - 0.75x = 75

0.25x = 75

x = 75/0.25

x = 7500/25

x = 300.

Verification:

75% of 300 = 275
Now 755 + 75 = 300

Hence 300 is the required answer.

3*4+8*6=60.

So answer will be (C).

In what ratio should wheat at Rs. 4.5 per kg be mixed with another variety at Rs. 5.25 per kg so that the mixture be worth of Rs. 5 per kg?

a. 1:2
b. 2:1
c. 1:3
d. 3:1.

Please anybody tel the answer with explanation.

3*4=12,
8*6= 48
48+12=60

Total run b/w the wickets 110 - 60=50

Therefore %= 50/110* 100 = 45.454545

In order to find the percentage of runs scored by running the wickets.

see the total runs scored by the batsman is 110.
runs scored by fours and sixes is 4*3+6*8=60

then runs scored by running b/w wickets = 50(total runs(110) - runs scored by fours and sixes(60))

for 110 runs if he scored 50 runs by running b/w wickets
then for 100 how much

this can written in the ratio form as 110:100::50:X
then x=(100*50)/110
solving we get the answer as 500/11
converting in mixed fraction we 45*5/11.

i hope u understood.. have a nice day.

Why we need to divide 50/110?