Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 11)
11.
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
3 : 3 : 10
10 : 11 : 20
23 : 33 : 60
Cannot be determined
Answer: Option
Explanation:

Let A = 2k, B = 3k and C = 5k.

A's new salary = 115 of 2k = 115 x 2k = 23k
100 100 10

B's new salary = 110 of 3k = 110 x 3k = 33k
100 100 10

C's new salary = 120 of 5k = 120 x 5k = 6k
100 100

New ratio 23k : 33k : 6k = 23 : 33 : 60
10 10

Discussion:
33 comments Page 1 of 4.

Green violet said:   2 decades ago
Why is that the amount of % is written as 115 instead of 15 ?

Manikandan S said:   2 decades ago
Why we have to use K there and how 15% is changed to 115?

Anurag said:   2 decades ago
@Mankandan :

We can also use x instead of k.

15% is changed to 115 it is a shortcut method to avoid long caluclation.

Rama said:   1 decade ago
15% increase in salary = (100+15)% of 2k = (115/100)*2k.

Sumya said:   1 decade ago
@rama is very much right as here salary is increase from 100 to 115.

Rachana said:   1 decade ago
What is this k stands for ?

Prabhu said:   1 decade ago
Here k denotes the common multiplication number in all the 3 given ratio.

Boomadevi said:   1 decade ago
Why add this value 100+15?

Preety said:   1 decade ago
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.

Vijay raja said:   1 decade ago
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


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