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?
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:
34 comments Page 2 of 4.
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!
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.
In case here mentioned loss/decrease 15% in this case we are write 85.
(1)
Satham said:
9 years ago
20*115/100 = 23,
30*110/100 = 33,
20*120/100 = 60.
23 : 33 : 60.
30*110/100 = 33,
20*120/100 = 60.
23 : 33 : 60.
(1)
Koushik datta said:
10 years ago
It can be solve in ay method:
2 * 115 : 3 * 11 : 5 * 120.
= 2 * 23 : 3 * 22 : 5 * 24.
= 23 : 33 : 60.
2 * 115 : 3 * 11 : 5 * 120.
= 2 * 23 : 3 * 22 : 5 * 24.
= 23 : 33 : 60.
(1)
Agrima said:
1 decade ago
I still don't understand why we have written 115?
(1)
Bindhu said:
8 years ago
Can anyone tell me how you can solve 23k/10 : 33k/10 : 6x into 23k : 33k :6k?
Please explain.
Please explain.
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.
We can also use x instead of k.
15% is changed to 115 it is a shortcut method to avoid long caluclation.
Rama said:
2 decades ago
15% increase in salary = (100+15)% of 2k = (115/100)*2k.
Sumya said:
2 decades ago
@rama is very much right as here salary is increase from 100 to 115.
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