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 4 of 7.

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?

BharathShankar said:   1 year ago
7:8 be 140 : 160.
20% 0f 140 = 28.
140 + 28 = 168.
10% of 160 = 16.
160 + 16 = 176.

The ratio of 168:176 = 21 : 22.
(7)

Arvind_ap said:   1 decade ago
G, B.

7:8 = 70, 80.

20% 10% = 120, 110.

G = 70*120 = 840.

B = 80*110 = 880.

= 84/88 = 21/22.

Answer = 21:22.

Pankaj said:   1 decade ago
There is some problem to understand the problem ie question is asked 20% and 10% but here get 120% and 110% why ?

Rajeev said:   1 decade ago
@ ramesh

Can you tell you multiply 70 & 80 instead of 7 & 8, as we get same answer in both the cases?

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.

Kavya said:   1 decade ago
I am getting 7:4 by whichever method I do. I am not satisfied with any explanations given. Help me.

Prakash yadav said:   1 decade ago
20%of 7 = 1.4 : 10%of 8 = 0.8 .
7+1.4 : 8+0.8;

8.4 : 8.8;
84/10 : 88/10;

42/5 : 44/5;
21 : 22.

Md shahrukh said:   1 decade ago
Let the no of boys 7 and girls 8.

7x120/100: 8x110/100.

840:880.

So answer is 21:22.

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)


Post your comments here:

Your comments will be displayed after verification.