# 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?

Answer: Option

Explanation:

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

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

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 |

14*x* : 21*x* : 28*x*

2 : 3 : 4.

Discussion:

84 comments Page 1 of 9.
Freeze said:
1 month ago

5 it is increased by 40% = 5 * 40/100 = 2.

7 it is increased by 50% = 7 * 50/100 = 7/2.

8 it is increased by 75% = 8 * 75/100 = 6.

We need to add the ratios with their increased values.

(5) +2 : (7) +7/2 : (6) + 8.

7 : 21/2 : 14.

Multiply 2 on all sides.

14: 21: 28.

Divide 7 on all sides.

2: 3 : 4.

7 it is increased by 50% = 7 * 50/100 = 7/2.

8 it is increased by 75% = 8 * 75/100 = 6.

We need to add the ratios with their increased values.

(5) +2 : (7) +7/2 : (6) + 8.

7 : 21/2 : 14.

Multiply 2 on all sides.

14: 21: 28.

Divide 7 on all sides.

2: 3 : 4.

(6)

Sri said:
4 months ago

To find the increased seats, we multiply the original seats by (1 + \frac{{40}}{{100}}).

(1)

Nayana said:
5 months ago

700 : 1050 : 1400.

How its comes?

How its comes?

(1)

Jaya Prakash said:
6 months ago

@All.

Here 5:7:8 is not the original no of seats.

So, Initially, we assume the no of seats as 100% for each. so each is increased to 140%, 150%, and 175% respectively.

To know how many seats are required we are multiplying 140% * 5.

Here 5:7:8 is not the original no of seats.

So, Initially, we assume the no of seats as 100% for each. so each is increased to 140%, 150%, and 175% respectively.

To know how many seats are required we are multiplying 140% * 5.

(6)

Giri said:
8 months ago

=> 5 : 7 : 8.

= 500 : 700 : 800.

= 40 : 50 : 75.

= 700 : 1050 : 1400.

=> 2 : 3 : 4.

= 500 : 700 : 800.

= 40 : 50 : 75.

= 700 : 1050 : 1400.

=> 2 : 3 : 4.

(21)

Thrishika said:
8 months ago

How it become 40% to 140%, 50% to 150%? Anyone, explain it.

(18)

Saina Dey said:
10 months ago

@Shiv.

/

Why we have to multiply 5, 7 and 8 with 140, 150 and 175? Can anyone explain it please?

/

Why we have to multiply 5, 7 and 8 with 140, 150 and 175? Can anyone explain it please?

(1)

Jethalal said:
11 months ago

@Shivangi.

Increase of say Mathematics is 5x * 40% + 5x = 5x * (40/100 +1) = 5x * (140/100) = 140% * 5x.

same for 150% and 175%.

Increase of say Mathematics is 5x * 40% + 5x = 5x * (40/100 +1) = 5x * (140/100) = 140% * 5x.

same for 150% and 175%.

(8)

Mehreen said:
1 year ago

Is it because of the percentage increase we are taking 140%?

(6)

Shivangi said:
1 year ago

How it became 40% to 140%, 50% to 150%?

(42)

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