Aptitude - Ratio and Proportion - Discussion

Discussion :: Ratio and Proportion - General Questions (Q.No.8)

8. 

If 0.75 : x :: 5 : 8, then x is equal to:

[A]. 1.12
[B]. 1.2
[C]. 1.25
[D]. 1.30

Answer: Option B

Explanation:

(x x 5) = (0.75 x 8)    x = 6 = 1.20
5


Shriram said: (Sep 7, 2011)  
0.75 5
---- : ---
x 8

cross multiplication

x = 0.75*8/5

x = 1.2

Felci said: (Jan 28, 2012)  
0.75/x=5/8

0.75*8=5*x

6=5*x

x=6/5=1.2

Patrali said: (Feb 11, 2012)  
How come 6 is there?

Karthik said: (Mar 21, 2012)  
0.75*8=6

Abhi said: (Jul 3, 2012)  
If a:b::c:d,
Here a and d are the extremes.
And b and c are the mean terms.

According to the proportion rule.
(product of means) = (product of extremes).

So, over problem 0.75:x::5:8.

Becomes, x*5 = 0.75*8.

5x = 6.

X = 6/5.

X = 1.2.

Krrishree said: (Oct 27, 2014)  
@Patrali.

We all are many minded so if you think in that way. You can understand easily and fastly.

0.75 means 50p+25p. Here 8 50p means Rs.4 and 8 25p means Rs.2

Now Rs.4+Rs.2 = Rs.6

Abi said: (Oct 16, 2015)  
How 6/5 comes 1:2?

Pawan said: (Jan 26, 2016)  
60 percent of 5 = 3. So 5+3 = 8.

In the same way 60 percent of 0.75 = 0.45.

Then 0.75 + 0.45 = 1.20.

Ajay said: (Oct 11, 2016)  
.75/X = 5/8,
X = 1.2.

M.Nusrath Beevi said: (Feb 19, 2017)  
How cum there is 1.20?

Explain in detail.

Jay said: (Apr 6, 2017)  
Why do we do x x 5 and 0.75 x 8?

Why isn't it 0.75 x 5 and x x 8?

Janu said: (Aug 10, 2017)  
I can't understood clearly. Please explain that.

Paarth said: (Aug 10, 2017)  
0.75 change new with no like after 0 two digit found we do like 75/100*8 = 6.

Harika said: (Feb 26, 2018)  
When we see :: in between,
a:b :: c:d.

Formula is a*d=b*c .so, by given values we can find x, here they gave a, c, d values
we need to find b, according to formula.

0.75*8=5*x.
x=6/5 which is 1.2.

@Janu hope you got it.

Shariqq said: (Aug 12, 2018)  
The answer is 1.20.

We have to do cross multiply here

Ruchith Praharsha said: (Sep 12, 2018)  
The product of means equals to product of extremes,

5 * x = 0.75 * 8,
5x = 6,
x=6/5,
x=1.2.

Tapash said: (Sep 26, 2018)  
Thanks to all for the explanation.

Akash Kumar said: (Nov 2, 2018)  
0.75 : x :: 5 : 8.

0.75/x = 5/8.
5x = 0.75 * 8,
X = 0.75 * 8/5,
X = 1.20.

Durgesh Khismatrao said: (Jul 4, 2019)  
a/b = c/d.

0.75/x = 5/8.
(0.75 * 8)/5 =x,
6/5= x.
1.2 =x.

Rahul said: (Apr 18, 2020)  
5x = 0.75*8,
5x = 6.00,
x = 6.00/5,
x = 1.2.

Bhumi said: (Apr 27, 2020)  
Here, In the problem given that 0.75:x::5:8,
So, it means 0.75:x=5:8.

Here, 0.75and 8 are called extremes and at the same time, x and5are called means.
For example, a:b::c:d.

Then the product of extremes(a*d)=the product of mean(b*c).
So that's why it came,
0.75*8=5x,
6=5x=6/5,
Therefore, x = 1.2(ans).

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