Aptitude - Ratio and Proportion - Discussion

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"In the middle of difficulty lies opportunity."

- Albert Einstein

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?

[A].	2 : 3 : 4	[B].	6 : 7 : 8
[C].	6 : 8 : 9	[D].	None of these

Answer: Option D

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.

Shwetha said: (Thu, Nov 11, 2010 02:27:36 AM)

Why is the %age value changing from 40 to 140, 50 to 150 and 75 to 175 ? Can anyone explain in detail please?

Malli said: (Sat, Nov 20, 2010 11:31:35 PM)

Because initial amount is 100 then 100+40=140 etc.

Praveen said: (Thu, Dec 2, 2010 06:47:23 AM)

Any shortcut for this ?

Richa said: (Fri, Dec 3, 2010 02:42:25 AM)

@ shwetha when it is said that there is x% or y% increase in any value then to find out that increased value we have do 100+x as in this example a value increased 40% means 100+40=140

Ramesh said: (Thu, Dec 9, 2010 06:13:31 AM)

5:7:8 = 50:70:80 50140/100=70 ; 70150/100=105 ; 80*175/100=140 70: 105: 140 or 14: 21: 28 or 2: 3: 4

Hari said: (Sun, Jan 23, 2011 05:40:29 AM)

Good shortcut ramesh.

Vivek Mishra said: (Fri, Apr 15, 2011 03:11:16 AM)

Thanks to giving a good salution with shortcut.

Sandi said: (Fri, Apr 22, 2011 11:34:21 PM)

Very good shortcut ramesh.

Mariah said: (Thu, Apr 28, 2011 02:19:06 PM)

Can we apply this shortcut for other problems?

Harjinder Singh said: (Sat, Jun 18, 2011 06:37:05 AM)

1. 40% of 5 = 2, total seats 5+2=7 2. 50% of 7 = 7/2 total seats 7+7/2=21/2 3. 75% of 8 = 6 total seats 8+6=14 now compare ratios of all 7:21/2:14=>14:21:28 =>2:3:4

Sunita said: (Wed, Jul 6, 2011 06:09:58 AM)

Very good and easy method singh. Keep it up.

Emani Karthik Reddy said: (Sat, Jul 23, 2011 09:15:11 PM)

Thanks singh for easy to solve the problems.Keep it up.

Priyabrata said: (Mon, Sep 26, 2011 06:02:18 AM)

Thanks Harjinder, Very easy method apply you.

Kushi said: (Fri, Oct 14, 2011 08:02:45 PM)

Thanks harjinder.

Gnaneswar said: (Tue, Jan 3, 2012 12:09:19 PM)

Singh concept is correct.

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