Aptitude - Percentage - Discussion

Can please solve problems with explanation?

If 12 1/2% of a 25% of b = 20% of (a+b), Then what is the ratio of b:a?

Can any one explain me that how to convert decimal to fraction.

Is it just me or is this question impossible for those who have no knowledge on cricket terminology? i.e., 1 boundary means a score of 4?

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.