Aptitude - Ratio and Proportion - Discussion

115 is taken because
A'Value has increased by 15%.
Now we can find new salary of A in two ways:

1st way:
THEORY:Step 1: Calculating 15% in original salary ( i.e 2k)
Step 2: And then adding it to the original value to get increased salary.
Calculation:Step 1: (15/100)*2k= 3k/10
Step 2: (3k/10)+2k=23k/10

2nd way:
THEORY: If we consider 100% is the original value.
15% is increased
therefore 100%+15%=115%
115% of 2k gives 15% increased salary + original salary

NOTE:here we need only one step to calculate new salary.
CALCULATION: (115/100)*2k=23k/10

Let common multiple be x:

A = 15% of 2x+2x.

= 15/100*2x+2x.

= 3/10*x+2x.

= 3x/10+2x = {3x+10(2x)}/10 = 23x/10.

B = 10% of 3x+3x.

= 10/100*3x+3x.

= 3x/10+3x = {3x+10(3x)}/10 = 33x/10.

C = 20% of 5x+5x.

= 20/100*5x+5x.

= 1x/5*5x+5x = 1x+5x = 6x.

A:B:C = 23x/10:33x/10:6x.

= 23x/10:33x/10:6x*10/10 (L.C.M).

= 23x/10:33x/10: 60x/10.

= 23:33:60 (10 and x gets cancelled).

Hope I helped You guys!

Simplest way to understand.

15% increment in A Salary, So,
2*15% = 0.3.

Total Salary of A after increment = 2+0.3 = 2.3.

10% increment in B Salary, So,
3*10% = 0.3.

Total Salary of B after increment = 3+0.3 = 3.3.

20% Increment in C Salary, So,
5*20% = 1.

Total Salary of C after increment = 5+1 = 6.

Ratio of salary of A, B & C after increment.

2.3 : 3.3 : 6.0.

So 23 : 33 : 60 Answer.

@All.

A:B:C
2:3:5.

Increments are 15%, 10%, 20% Happen
So we have to find out their new salaries,
A= (2 * 0.15)=0.3 So add this in first ratio.
Then 2+0.3=2.3
Similarly B = (3 * 0.1)=0.3,
B = 3+0.3=3.3,
C =( 5 * 0.2)=1,
C = 5+1,
So the Ratios are now 2.3 : 3.3 : 6,
After multiplying with 100 in each;
= 23:33:60.

Just let ratio 20:30:50 {easy to calculate}
Calculate increment = 15% of 20 is 3 so the new ratio is 20+3 = 23.
10% of 30 is 3 = 30+3 = 33,
20% of 50 is 10 = 50+10 = 60.
New ratio after increment = 23 : 33 : 60.

Here, the value of A, B and C is 2:3:5 respectively, and increments are 15%, 10% and 20% so for the new ratio,

(15/100*2 +2) : (10/100*3+3) : (20/100*5+5).

(3+20/10) : (3+30/10) : (5+1).

23/10:33/10:6.

23 :33 : 60.

We can do like

15% of 2= 15/100*2=3/10 total value=2+3/10=23/10
10% of 3= 10/100*3=3/10 total value=3+3/10=33/10
20% of 5= 20/100*5=1 total value=5+1=6

New proportion is
23/10:33/10:6
or 23:33:60 ans.

Let's salaries A,B,C are 200:300:500 i.e 2:3:5.

A-increase of 15% is 200+30 = 230.
B-increase of 10% is 300+33 = 330.

C-increase of 20%b is 500+100 = 600.
Ratio of A:B:C is 230: 330: 600.

i.e 23: 33: 60.

Hai @Asma, Try below:

Ans, is 10 years.

Say, present age is = X,

After 20 years man age will be 3X = X+20.

i.e, 3X = X+20.

3X-X = 20.

X = 10.

Results, the man present age is 10 years.

In this example mentioned 15% increase. That happened we are writing 115.

In case here mentioned loss/decrease 15% in this case we are write 85.