Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 4)
4.
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
2 : 3 : 4
6 : 7 : 8
6 : 8 : 9
None of these
Answer: Option
Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

140 x 5x , 150 x 7x and 175 x 8x
100 100 100

7x, 21x and 14x.
2

The required ratio = 7x : 21x : 14x
2

14x : 21x : 28x

2 : 3 : 4.

Discussion:
88 comments Page 4 of 9.

Shwetha said:   1 decade ago
Why is the %age value changing from 40 to 140, 50 to 150 and 75 to 175 ?

Can anyone explain in detail please?

Shiv said:   5 years ago
=>Maths : physics : Biology
=>. 5 : 7 : 8.
=> 5*140 : 7*150 : 8*175,
=>. 2 : 6 : 8.
(9)

ISHIT SETIA said:   8 years ago
Will the percent increase not be 40/100 into 5x + 5x and so on?

As this is increased percentage?

Saina Dey said:   2 years ago
@Shiv.
/
Why we have to multiply 5, 7 and 8 with 140, 150 and 175? Can anyone explain it please?
(1)

Zee said:   8 years ago
The required ratio = 7x : 21x/2: 14x

14x : 21x : 28x where did the 2 of 21/2 go?
2 : 3 : 4.

Sikander said:   9 years ago
Isn't that simple like if we add 40% + 50% + 70% = 165,
40/165 = 2.
50/165 = 3.
75/165 = 4.
(1)

Sivaji said:   8 years ago
Increase % means 100+x% so 140, 150, 175values are add to 50, 70, 80 then ratio are 2:3:4.

Sri said:   2 years ago
To find the increased seats, we multiply the original seats by (1 + \frac{{40}}{{100}}).
(6)

Sonal mahajan said:   1 decade ago
Hi ramesh

Can you tell me please how it comes?
70: 105: 140 or
14: 21: 28 or
2: 3: 4
(1)

Giri said:   2 years ago
=> 5 : 7 : 8.
= 500 : 700 : 800.

= 40 : 50 : 75.
= 700 : 1050 : 1400.
=> 2 : 3 : 4.
(26)


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