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 2 of 7.

Siva said:   7 years ago
Can you say, how 42/5 : 44/5 = 21:22? Please explain clearly.
(4)

GANESH DEY said:   6 years ago
Please tell me, why denominator 5 is removed?
(4)

Jeyaram said:   7 months ago
Remember x:y = x/y.
So, Here 42/5:44/5 =[42/5]/[44/5] then simply cancel 5 and div 42 and 44 by 2.
You will get 21/22 as Said x/y =x:y.
So, 21 : 22.
(3)

Waquar said:   5 years ago
Thanks @Priyabrata.
(3)

Ruchith praharsha said:   7 years ago
Let the no of boys be 7x and no of girls be 8x.

If it is increased by 20 and 10 per cent lets take x as 10 they will 70 and 80 and the increase will be 84 and 88 the ratio is 84 :88 that is 21:22.
(2)

Naresh said:   7 years ago
7*120/100 = 84/10,
8*110/100 = 88/10,
84/10:88/10 = 84:88.
21:22.
(2)

Ravi said:   6 years ago
For boys :- 7+20/100. that is 36/5.

And for girls:- 8+10/100.that is 81/10.

Then ATQ. 36/5*10/81.

And answer will become 8:9.
(2)

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)

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)

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)


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