Ratios & Proportion
Aptitude

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Q.

Two numbers are respectively $20\%$ and $50\%$ more than a third number. The ratio of the two numbers is:

 A.

2:5

 B.

3:5

 C.

4:5

 D.

5:4

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Solution:
Option(C) is correct

Let the third number be $x$.

Then, first number = $120\%$ of $x$= \(\dfrac{120x}{100}=\dfrac{6x}{5}\)

Second number = $150\%$ of $x$ = \(\dfrac{150x}{100}=\dfrac{3x}{2}\)

Ratio of first two numbers = \(\dfrac{6x}{5}:\dfrac{3x}{2}=4:5\)

Edit: For an alternative solution, check comment by Atchayaa.


(8) Comment(s)


Atchayaa
 ()

consider the third no as 100

first number is 20% more than 100 means 120

so second number is 50% more than 100 means 150

Now ratio of 1st and 2nd number is 120:150

i.e 4:5...

simple



Mudit
 ()

% sign is not visible


Deepak
 ()

Thank you for pointing it out, corrected the mistake.


Aayush Nigam
 ()

% sign is not visible in the browser...LAPTOP using chrome

is the website complete mobile based now??.....


Deepak
 ()

Corrected the issue. Yes, now the website is responsive and supports mobile devices.


Sam
 ()

let take three number as 10, 10, 10.

20% of 10=2,

50% of 10=5.

so the ratio is 10+2/10+5

=12/15

=4/5

=4:5



Tenzing
 ()

Thrice the square of a number is 10 times another number.

What is the ratio of the first no to the second no.?


Simran
 ()

any other data?