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.

Trimu said:   7 years ago
@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.
(20)

Kalpana Rawat said:   1 year ago
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.
(16)

Krishna pithiya said:   1 year ago
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.
(6)

Chandan shil said:   7 years ago
115*2/10=23,
110*3/10=33,
120*5/10=60.

So, 23:33:60.
(4)

Savi said:   7 years ago
Thanks for the answer @Preety.
(3)

Sardar Bahadar Khan Seehar said:   7 years ago
How 23/10:33/10:6 = 23:33:60?
(3)

Venu said:   7 years ago
115/100*20:110/100*30:120/100*50.
= 23:33:60.

Here 2=20 and 3=30 and 5=50.
(2)

Abhinav Kumar said:   1 decade ago
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!
(2)

Sourabh said:   1 decade ago
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.
(1)

Hruaii said:   9 years ago
Why you take 115/100 of 2k instead of 2k+15%? Please explain more in simplest form.
(1)


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