# 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.
Shaik Babu said:
4 years ago

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

7 it is increased by50%=7 * 50/100 = 7/2.

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

5+2=7/2+7 = 6 + 8.

7=21/2 = 14.

14=21 = 28.

2=3 = 4.

7 it is increased by50%=7 * 50/100 = 7/2.

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

5+2=7/2+7 = 6 + 8.

7=21/2 = 14.

14=21 = 28.

2=3 = 4.

(60)

Shivangi said:
1 year ago

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

(42)

Giri said:
7 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.

(20)

Thrishika said:
7 months ago

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

(18)

Amrutha said:
6 years ago

For make calculation easy take the values as 500 : 700 : 800,

40% of 500 =200,

50% of 700 =350,

75% of 800=600,

Then the increased ratio = 700 :1050:1400.

After simplification, the answer would be 2:3:4.

40% of 500 =200,

50% of 700 =350,

75% of 800=600,

Then the increased ratio = 700 :1050:1400.

After simplification, the answer would be 2:3:4.

(9)

Ram Kundu said:
3 years ago

How it become 14x : 21x : 28x? Please explain this step.

(9)

Jethalal said:
10 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)

Akash hotty said:
1 year ago

Can anyone explain it shortly?

(8)

Shiv said:
4 years ago

=>Maths : physics : Biology

=>. 5 : 7 : 8.

=> 5*140 : 7*150 : 8*175,

=>. 2 : 6 : 8.

=>. 5 : 7 : 8.

=> 5*140 : 7*150 : 8*175,

=>. 2 : 6 : 8.

(7)

Jaya Prakash said:
5 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)

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