# Easy Alligations or Mixtures Solved QuestionAptitude Discussion

 Q. Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%, by what percent did the weight of Shyam has to be increased?
 ✖ A. 17% ✔ B. 19% ✖ C. 23% ✖ D. 29%

Solution:
Option(B) is correct

Let, Shyam's weight, $S$ has been increased by $x\%$.

and as per the question Ram's weight, $R$ is increased by 10%,

Ram $(R)$               Shyam $(S)$
$(10\%)$                     $(x\%)$
\                      /
mean
$(15\%)$
/                    \
$(x-15)\%$      :     $(15-10)\%$

Now, given ratio of Ram and Shayam's weight,

$\dfrac{R}{S}= \dfrac{4}{5}$

$\Rightarrow \dfrac{x-15}{15-10} = \dfrac{4}{5}$

$\Rightarrow \textbf{x = 19%}$

## (4) Comment(s)

Priyanka
()

4/5 how it will come. pls anyone explain this.

Deepak
()

Ration is given for initial weight, not for resultant weight after increasing

Akshaya
()

10% is the increase in percentage weight of ram. What does (x-15)% denote?

Deepak
()

This is the difference between the desired and current values. This is a standard step used in the Alligation technique.