Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 6)
6.
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
8 : 9
17 : 18
21 : 22
Cannot be determined
Answer: Option
Explanation:

Originally, let the number of boys and girls in the college be 7x and 8x respectively.

Their increased number is (120% of 7x) and (110% of 8x).

120 x 7x and 110 x 8x
100 100

42x and 44x
5 5

The required ratio = 42x : 44x = 21 : 22.
5 5

Discussion:
61 comments Page 3 of 7.

Charan said:   8 years ago
The total percent of 7x is 100% and they increase 20% so we take it as 120*7x in the same way 110*8x is taken.

Pawan said:   8 years ago
7+8=15.
%= 15+100=150,

7:8 increase by 20% & 10%,
70= 20%=14,
80=10%=8,
Therefore, 70+14=84,
80+8=88,
84:88,
Divide by 4,
Hence new ratio is;
21:22.
(1)

Abhishek Bansal said:   8 years ago
Given : B : G = 7:8.
This can be written as 7x : 8x ( X being the common multiplier).
Let x = 10 (For simple Calculation)
So Boys = 70 & Girls = 80.
Increased Of Boys by 20% = 70*20/100 = 14.
So After Increase boys would be = 70 + 14 = 84.
Similarly Girls = 80*10/100 = 8 & Girls After Increase would be = 80 + 8 = 88.

New Boys : New Girls = 84:88.
Simply 21:22.

Yamini saraswathi said:   8 years ago
Actually, I am getting answer as a
(120/100)*7=8.4 so approximately = 8.
(110/100)*8=8.8 so approximately = 9.

The answer is 8:9.

Muhammad Naeem said:   9 years ago
@Chaitra.

6 * 7 = 42 and 11 * 4 = 44.

Chaitra said:   9 years ago
Ramesh sir, how you get 42:44?

Mohanraj said:   9 years ago
The first ratio is 7 increase proposal is 120 (100% + 20%).
The second ratio is 8 increase proposal is 110 (100 + 10%).
The ratio is 7 * 120 = 840 : 8 * 110 = 880.
The answer of the new ratio is 21 : 22.
(1)

AJAY said:   9 years ago
7 * 20/100 = 7/5,
7/5 + 7 = 42/5,
8 * 10/100 = 4/5,
4/5 + 8 = 44/5,
42/5 : 44/5 = 21 : 22.
(1)

Riya said:   9 years ago
The ratio of the cost price and selling price is 4:5 what is the profit percentage?

Does anyone know how to solve this?

Rosy said:   9 years ago
42/5 and 44/5 how is it 21 : 22? Please explain in detail.


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