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 5 of 7.

Moorthi said:   9 years ago
How you took ratio 21:22 from 42/5 : 44/5?

How 5 is eliminated? Please explain.

Hackersk said:   1 decade ago
How you took ratio 21:22 from 42/5:44/5?

How 5 is eliminated please explain?

K.kiran kumar said:   2 decades ago
I can not get that how 120% of 7x and 110% of 8x.

Please someone explain it.

Aman said:   7 years ago
7 : 8 = 70 : 80.
70 * 120/100 = 84,
80 * 110/100 = 88,

So, 84:88 = 21:22.
(4)

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

Swastik said:   9 years ago
Thanks @Priyabrata.

Your method is easy to solve the problem.

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

Mateen said:   1 decade ago
How 120 and 110 come into the picture? Please explain sir.

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

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


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